Chapter 2 Polynomials Assertation & Reasoning Questions Class 9th Mathematics

1) Assertion: The constant  polynomial 0 is called zero polynomial.

Reason:√x+3 is a polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true the reason is false.

2) Assertion: degree of non zero constant polynomial is zero

Reason: polynomial having two terms are called binomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

3) Assertion: y2-5 is a quadratic polynomial.

Reason: degree of polynomial 2 is called quadratic polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for Assertion.

4) Assertion: 2x-1 is the linear polynomial.

Reason: A polynomial of degree 1 is called linear polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is correct explanation for Assertion.

5) Assertion:  the degree of zero polynomial is not defined.

Reason : Each term of polynomial has coefficient.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason is correct but reason is not correct explanation for Assertion.

6) Assertion:  5t-√7  it’s degree is 1

Reason: the highest power of the varible is 1 so the degree of polynomial is 1.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for Assertion.

7) Assertion:  a polynomial can have more than one zero.

Reason: every real number is zero of zero polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

8) Assertion : 2a2+5 value of polynomial at a= 2 is 136

Reason:  p(x) x+2  is not a zero polynomial at x=-2

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are false.

9) Assertion: 3x2+ x-1 = (x+1)(3x-2)+1

Reason : dividend = divisor *quotient + remainder.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

10) Assertion : x3+x  has only one real zero.

Reason: A quadratic polynomial  can have at most two zero.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are true but reason is not correct explanation for Assertion.

11) Assertion: Assertion : If one zero of poly-nominal p(x) = (k+ 4)x2 + 13x + 4k is reciprocal of other, then k = 2.

Reason : If (x – a) is a factor of p(x), then p(a) = 0 i.e. a is a zero of p(x)

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:  b) both assertion and reason are correct but reason is not correct explanation for Assertion.

12) Assertion: a quadratic polynomial can have at most two zero.

Reason: x2+7x +9 has two zero.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:c) Assertion is true but the reason is false.

13) Assertion : If the product of the zeroes of the quadratic polynomial x+ 3x + 5k

is -10 then value of k is -2.

Reason : Sum of zeroes of a quadratic polynomial ax2 + bx + c is –b/a

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion  and reason are true but reason is not correct explanation for Assertion .

14) Assertion: The polynomial 3x4-4x-3/2+x2 is not a polynomial

Reason: because the power in the term 4x3/2which is not a whole number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for Assertion.

15) Assertion: a polynomial of degree 3 is called cubic polynomial.

Reason: 3z3-2z2+7z+9 is a cubic polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for Assertion.

16) Assertion: A quadratic polynomial can have at the most two zeroes.

Reason: Sum of zeroes of a quadratic polynomial ax2+bx+c is -b/a

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:b) both assertion and reason are correct but reason is not correct explanation for Assertion.

17) Assertion: The highest power of x in the polynomial P(x) is the degree of the polynomial.

Reason: 7x9-5x3+4x5+3The degree of polynomial is 3.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but reason is false.

18) Assertion:  If one zero of polynomial p(x) = (k2+4)x2+13x+4k is reciprocal of the other, then k=2.

Reason: Irrational zeros  always occurs in pairs.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion .

19) Assertion: x3+x has only one real zero.

Reason: A polynomial of nth degree must have n real zeroes

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) assertion true but reason is false.

20) Assertion: If one zero of polynomial p(x) = (k2+4)x2+13x+4k is reciprocal of the other, then k=2.

Reason: If (x-a) is a factor of p(x), then p(a) = 0 i.e., a is a zero of p(x).

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b ) both assertion and reason are correct but reason is not correct explanation for Assertion.

21) Assertion: Zeroes of polynomial  p(x)=x2-3x+2 is 1

Reason:7x is the zero polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but reason is false

22) Assertion: In a homogeneous expression, all the terms will have same degree.

Reason :The degree of the equation, given  (x+2)(x-1)=(x+1)(x+3), is 1

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and reason  are correct but reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

23) Assertion: p(x) = x5   degree=5

Reason: 4√t+t6degree is 6

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:c) assertion is true but reason is false.

24) Assertion: degree of p(x)= -2/7 is 0

Reason: degree of p(x)= x3y2zis 10

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

25) Assertion: The degree of the sum of two polynomials each of degree 5 is always 5.

Reason: 3x-2 is a quadratic polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: d)both Assertion and reason are false.

26) Assertion: a linear polynomial has one and only one zero always.

Reason: zero of polynomial  x2-4x+3 are 1,3

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:b) both assertion and reason are true but reason is not correct explanation for Assertion.

27) Assertion: The polynomials in which the highest power of the variable in any term is one are known as linear polynomials.

Reason: if (2x2-3x+1)(2x2+5x+1) =9xthen equation has four equal roots.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both assertion and reason are true but reason is not correct explanation for Assertion.

28) Assertion: a real number α is said to be a zero of the polynomial p(x) if  p(α)=0

Reason: The zero polynomial is the additive identity of the additive group of polynomials.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

29) Assertion: A polynomial whose coefficients are all equal to 0 is called zero polynomial.

Reason: a degree of p(x)=7xyz is 3

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:b) both assertion and reason are correct but reason is correct but reason is not correct explanation for Assertion.

30) Assertion: 2x2-5x+9 is a quadratic polynomial.

Reason: 5x+8 is  not a linear polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but reason is false.

31) Assertion: if a,b,c be the zero of polynomial f(x)=ax3+bx2+cx+d then sum of zeros =

 -cofficent of x2/-cofficent ofx3

Reason:(2-√3) is one zero of quadratic polynomial then other zero will be (2+√3)

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

32) Assertion: Polynomial is the algebraic equation in the form of single variable.

Reason : polynomial which has three term are called trinomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason is true but reason is not correct explanation for Assertion.

33) Assertion:x2+7y is not polynomial.

Reason: the sum of several terms that contain different powers of the same variablesis known as polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion vand reason are correct and reason is the correct explanation for Assertion.

34) Assertion: p(x)=1,p(x)=5 are the zero of zero  ploynomial

Reason : all real number is the zero of zero polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct but reason is the correct explanation for Assertion.

35) Assertion: If (x-1) is the factor of 4x3+3x2-4x+k then k=-3

Reason: (x+y)2 =x2+y2+2xy

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason correct but reason is not correct explanation for assertion.

36) Assertion: (3x+4y)=27x3+64y3+36xy(3x+4y)

Reason: (x+y)3= x3+y3+3xy(x+y)

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for Assertion.

37) Assertion: degree of cubic polynomial is 3

Reason: degree of quadratic polynomial is 2

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

38) Assertion: (x+1)is the linear factor of 3x2+8x+5

Reason: 3x2+8x+5 = (3x+5)(x+1)

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is correct explanation for Assertion.

39) Assertion: the value of 102-92=19

Reason: 102-92=100-81=19

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for Assertion.

40) Assertion: if (x+2) is a factor of x3 -2ax2+16  the value of a is 7

Reason: if one of the factor of x2+x-20 is (x+5)and other is ( x+4)

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: d) both assertion and reason are false.

41) Assertion: . If one of the zeroes of the cubic polynomial x3 + px² + qx + r is -1, then the product of the other two zeroes is p-q-1.

Reason: If one zero of the quadratic polynomial x² + 3x + b is 2, then the value of b is 9.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:d) both Assertion and reason are false

42) Assertion: The maximum number of zeroes that a polynomial of degree 4 can have is 4.

Reason: The graph of the polynomial p(x) = 5x – 7 is a straight line which intersects the x-axis at exactly one point  is (7/5, 0)

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason isnotcorrect explanation for Assertion.

43) Assertion: The graph of the polynomial ax² + bx + c is a downward parabola if a=0

Reason: if a polynomial of degree 4 is divided by quadratic polynomial, the degree of the remainder is ≤ 1

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b)both assertion and reason are correct but reason is not correct explanation for assertion.

44) Assertion: x3+0x2+0x-64 by x-4 quotient is x2+4x+16

Reason: dividend = divisor *quotient+ remainder

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans : a) both assertion and reason is the correct explanation for assertion

45) Assertion: if α, β are the zeroes of the polynomial x² – 16, then αβ(α + β) is 0

Reason: x² – 16=0

X2=16 ,x=+4,-4

4(-4)(4-4)=-16(0)=0

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

And: a) both  assertion and reason are correct but reason is not correct explanation for assertion.

46) Assertion: the graph of qudratic  polynomial is parabola

Reason : if x+y=3 , x2+y2.=5 then xy is 2

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion.

47) Assertion: If one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it has no linear term and the constant term is positive.

Reason:. The zeroes of the quadratic polynomial x2 + 99x + 127 are both positive.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

And. d) both assertion and reason are false.

48) Assertion:. The zeroes of the quadratic polynomial x+ 99x + 127 are more than 4.

Reason : The number of polynomials having zeroes as -2 and 5 is 1

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

And: c) assertion is true but reason is false.

49) Assertion:  if the graph of polynomial intersect the x-axis  at exactly two point then it can be cubic or qudratic polynomial.

Reason:  if y97+97 is divided by (y+1) the remainder is 96

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:b) both assertion and reason are correct but reason is not correct explanation for Assertion

50) Assertion: The LCM of (x2+x -6) and 4(4-x )2 is 4(x+3)(x+2)(x-2)

Reason: x100+2x99+k is divisible by (x+1) then the value of k is 2

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but reason is false.

51) Assertion: the factor of x4+4 are (x2+2x+2)(x2-2x+2)

Reason : the sum of zeroes of ax2+bx+c is -b/a

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

52) Assertion:  the product of (4+2x)(4-2x) is 42-(2x)2

Reason: (a+b)(a-b) = a2-b2

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for assertion

53) Assertion: the difference between the polynomial is7x-3x2+7 at x=1andx=2 is -2

Reason: if one of the zero of p(x) = 5×2+13x-m is the reciprocal of the other then the value of m is 2

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:c) Assertion is true but reason is false.

 54) Assertion:  a cubic polynomial x=f(y) cut Y axis at most 3points

Reason: graph of ax2+bx+c intersect x-axis at two distinct point if b2-4ac>=0

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

55) Assertion: if p(x)= 7x+7= 56 at x=7

Reason: The zeroes of a polynomial f (x) are the coordinates of the points where the graph of y f (x) intersects x-axis

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion .

56) Assertion: the value of polynomial x8-x5+x2-x+1 is positive for all real numbers

Reason : f(x) is positive f(x)>0 ,f(x) is positive for all real value x

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans : a) both Assertion and reason are correct and reason is the correct explanation for Assertion.

57) Assertion: if a3-3a2b +3ab2 is divided by a-b then the remainder is 0

Reason : a linear polynomial is always represented by straigth line.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not the correct explanation for Assertion.

58) Assertion: if a,b,c are the zeroes of x3-2x2+qx-r and a+b =0then 2q=r

Reason: if a, b, c are the zeroes of tx3+ux2+vx+w then

a+b+c=-u/t, ab+bc+ca=v/a, abc= -w/a

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

a) both Assertion and reason are correct and reason is the correct explanation for Assertion.

59) Assertion:every polynomial equation has at least one real root

Reason: graph of quadratic polynomial is an ellipse.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d)  both Assertion and reason are false.

60) Assertion: remainder is not equal to zero when the divisor is not the factor of dividend.

Reason : identity equation is valid for all the value of its variable .

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and  reason are correct but reason is not correct explanation for assertion.

61) Assertion: degree of the remainder is always smaller or less than the divisor.

Reason: if x= 0.6 then x+9x= 6

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

62) Assertion: (x+y+z)2= x2+ y+z2

Reason : 25+36+64= (5+6+8)2

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d)both Assertion and reason are false.

63) Assertion: (100+4)3=1124864

Reason: (x+y)3=x3+y3+3x2y+3xy2

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is the correct explanation for Assertion.

64) Assertion: 4x2+7x+8 cofficent of the polynomial are 4,7,8

Reason : 8 is the constant term in above polynomial.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both are correct but reason is not correct explanation for Assertion.

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Chapter 1 Number Systems Assertation & Reasoning Questions Class 9th Mathematics

1) Assertion: 15 is the composite number.

Reason: 15 is odd number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:  b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

2) Assertion: every integer is a rational number

Reason: every integer is expressed in the form of m/1 so it is rational number

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.

3)  Assertion: √5 is an irrational number.

Reason: A number is called irrational, if it cannot be written in the form p/q, where p and q are integers and q≠0

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.)  both assertion and reason are false.

Ans: a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.

4) Assertion: 0.468 is a terminating decimal.

Reason: A decimal in which a digit or a set of digits is repeated periodically, is called a repeating, or a recurring decimal.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.)  both assertion and reason are false.

Ans: b) Both Assertion and Reason are correct and Reason is not correct explanation for Assertion.

5) Assertion: -25 is  not a rational number.

Reason : -25 can not be written in in the form of p/q.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.)  both assertion and reason are false.

Ans:d.) if both assertion and reason are false.

6) Assertion :every  whole number is  not a natural number.

Reason: zero is whole number but not natural number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.)  both assertion and reason are false.

Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

7)  Assertion: Every rational number is an integer.

Reason: 3/5 is not an integer.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) Both Assertion and reason are correct and reason is the correct explanation for Assertion.

8) Assertion: √2 is a irrational number.

Reason: it can not be written inthe  form of p/q.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:a)  both Assertion and reason are correct and reason is the correct explanation for Assertion.

9)  Assertion: 3/5 is terminating decimal expansion

Reason: the remainder become zero.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.)  both assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is the correct explanation for Assertion.

10) Assertion: 7 is rational number

Reason: square root of all rational number is irrational.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but reason is false.

11) Assertion: Decimal expansion of every rational number is only terminating.

 Reason : Decimal expansion of every irrational number is terminating  recurring

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: d) both Assertion and reason are false.

12) Assertion: 1/7 and 2/7 in between only five irrational number are present.

Reason: Every rational number between limited irrational number are present.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: d) both Assertion and reason are false.

13) Assertion :7√5, √2+21 are the irrational number.

Reason: every integer is an rational number

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both Assertion and reason are correct and reason is not correct explanation for Assertion.

14) assertion: 31 is rational number.

Reason: square root of all rational number is always rational

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.)  both assertion and reason are false.

Ans: c) Assertion is true reason is false.

15) Assertion: 6√2+7√2 is a rational number.

Reason: the sum of every rational and irrational number is irrational

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a)both  Assertion and reason are true and reason is the correct explanation of Assertion.

16) Assertion :the rationalizing factor of  2+√5 is 2-√5

Reason: the product or quotient of non zero rational number with  irrational number is rational.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.)  both assertion and reason are false.

Ans:c) Assertion is true but the reason is false.

17) Assertion :8√15÷2√3=4√5

Reason : quotient of non zero rational number with an irrational number is irrational.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.)  both assertion and reason are false.

Ans: a)both assertion and reason are correct and reason is correct explanation for assertion.

18) Assertion: every rational number is written in the form if p/q where p and q are integers, q=0

reason : 7√3 is a rational number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.)  both assertion and reason are false.

Ans: d) both Assertion and reason are false.

19) 10/3 is non terminating Decimal expansion .

 Reason: the remainder of non terminating Decimal expansion is never be zero.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is the correct explanation for Assertion

20)  Assertion: 1/2=3/6=4/8are the equivalent rational numbers.

Reason: Every rational number is an integer.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but the reason is false.

21) Assertion: the real number is either rational or irrational.

Reason :√7 is a rational number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c)  Assertion is true but the reason is false.

22) Assertion : Sum of two irrational numbers 2 + √3 is an irrational number.

Reason : Sum of a rational number and an irrational numbers is always an irrational number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a)both  assertion and reason is correct and reason is the correct explanation for assertion.

23) Assertion: sum of two irrational numbers 5+√3 and 7+√3 is a irrational number.

Reason: if the product of two irraational numbers is rational the each one is  called the rationalizing factor of other.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

And: b) both Assertion and reason are correct but reason is not the correct explanation for assertion.

24) Assertion :199÷198=19

Reason: if a>0  be a real number and  p and q be rational number then ap÷aq=ap-q

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is the correct explanation for assertion.

25) Assertion : all the rational and irrational number makes up the collection of real number.

Reason:if r is rational and s is irrational then r+s and r-s are irraational number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: both Assertion and reason are correct but reason is the correct explanation for reason

26) Assertion: 1,2,3,4 are the natural numbers.

Reason:  1/4 ,2/7  9/5 are the rational numbers.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: d) both assertion and reason are false.

27) Assertion: Natural numbers are a subset of integers.

Reason: Natural numbers without zero are called positive integers, and when written with a negative sign are called as negative integers.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: both Assertion and reason are correct and reason is the correct explanation for reason .

28) Assertion :Sum of two natural numbers is a natural number.

Reason : All whole numbers are natural numbers.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but the reason is false.

29) Assertion: 2,3,5,7 are the prime numbers.

Reason: A number, other than 1, which is not a prime number is called a composite number

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: both Assertion and reason are correct  but reason is not correct explanation for Assertion.

30) Assertion: (2,3), (3,4), (5,7) are the coprime numbers pair

Reason : Two numbers are co-prime of their HCF is 1.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason correct and reason is the correct explanation for Assertion.

31) Assertion: 3√2 is a irrational number.

Reason:  If m is a positive integer which is not a perfect cube, then  3√m is irrational

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is the correct explanation for Assertion.

32) Assertion: The difference of rational and irrational number is irrational.

Reason: Product of rational and irrational is irrational.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

32) Assertion: 1/6 is the reciprocal of 6

Reason: Improper fraction is the fraction in which numerator is less than denominator.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for

33) Assertion: All whole numbers are rational number except 0

Reason:ama n=am+n

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion.

34) assertion: 4is the first smallest composite number.

Reason:1 is a prime number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c)Assertion is true but reason is false.

35) Assertion:3√7+4√7=7√7

Reason:(3+4)√7= 7√7

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

And: a) both assertion and reason are true but reason is correct explanation for reason.

36) Assertion:0/9 is rational number.

Reason: 0/9 is a rational number that is equal to 0.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason is correct and reason is the correct explanation for assertion.

37) Assertion:the rational number equivalent to 7/9 is 49/63

Reason: (16)4.   =2 6

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:c) assertion is true but the reason is false.

38) assertion:  x4. =X5/x 1

Reason: ab/ac= ab-c

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for assertion.

39) Assertion:3*8*9+6 is a composite number.

Reason:  A composite number has factors one,any natural  number and itself.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason is the correct and reason is the correct explanation for Assertion

40) Assertion: the square root of any primenumber is irrational .

Reason: the rationlizong factor of 2+√7 is 5+ √ 3

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but reason is false.

41) Assertion: the conjugate of 4+√6 is 4-√6

Reason: √27 is not a rational number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both Assertion and reason is correct but reason is correct explanation for Assertion

42) Assertion: The terminating decimal has a number of finite terms after the decimal point.

Reason : the decimal expansion of π is terminating.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:c) Assertion is true but the reason is false.

43) Assertion: The product of two consecutive positive integers is divisible by 2

Reason:the decimal expansion of 15/169999= 0.0065789

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:c) Assertion is true but reason is false.

44) Assertion: 50=1

Reason: a0=1

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c)both  Assertion and reason is true and reason is the correct explanation for Assertion.

45) Assertion: 71=7

Reason: a1=a

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason is correct and reason is the correct explanation for Assertion.

46) Assertion: (57)3=521

Reason: 9 is a irrational number

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is correct but reason is false.

47) Assertion: √n is rational if n is not a perfect square.

Reason : 1/an=a+n

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: d) both Assertion and reason are false.

48)Assertion : the sum of first five prime number is 28

Reason: the sum of three consugative integer is 54

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

49) Assertion : the rationalize factor of 6+√7 is 6-√7.

Reason: 7,8,10,are the negative integers.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is correct and reason is false.

50) Assertion: 1 is the multiplicative identity of set of natural number.

Reason: √ab = √a√b

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Reason : b) both Assertion and reason are true but reason is not correct explanation for reason.

51) Assertion: 7/8+9/8=16/8

Reason: p/q+r/q= p+r/q

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is the correct explanation for Assertion.

52) Assertion: 3/5-2/12=13/30

Reason: p /q-r/s=ps-qr/qs

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason is the correct explanation for Assertion.

53) Assertion:  (18,25) is a pair of coprime numbers.

Reason:  pair of coprime number has common factor2.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but reason is false.

54) Assertion: Every point on the number line corresponds to a real number which may be either rational or irrational.

Reason: the Decimal representaion of the rational number 8/27 is 0.296.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason is correct but reason is not correct explanation for Assertion.

55) Assertion: If two irrational number whose quotient is a rational number.

Reason: If two irrational number whose product is irrational number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason is not the correct explanation for Assertion.

56) Assertion : the Decimal fraction of12/125 is 0.096

Reason: the Decimal fraction of 1/9 is o.111.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both Assertion and reason is not correct explanation for Assertion.

57) Assertion: √(7*8)= √7*√8

Reason: √ab= √a*√b

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason is the correct explanation for Assertion.

58 ) Assertion:( 2+√2)2=6+4√2

Reason: (a+b)2=a2+b2+2ab

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is the correct explanation for Assertion.

59) Assertion: {-1,-5,-6}  are the rational number.

Reason: All negative integers are rational number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason is the correct explanation for Assertion.

60) Assertion: coprime number are the number which are the having GCF as1.

Reason: any two prime numbers does not form the pairs of coprime numbers.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:c) Assertion is correct but reason is false.

61) Assertion: In 56.49 the whole part is 56.00

Reason: in the number 3456 the place value of 4 is 400

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both Assertion and reason is not correct explanation for Assertion.

62) Assertion: The smallest perfect number is 6, which is the sum of 1, 2, and 3.

Reason: The numbers which are the positive integers and which can be expressed as the sum of their proper divisors are called as perfect number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason is the correct and reason is the correct explanation for Assertion.

63) Assertion: HCF of (23,53) is 1.

Reason : If p anand are primes,then HCF (p,q)=1

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason is the correct and reason is the explanation for Assertion.

64) Assertion : if p and  q are prime ,then HCF (p,q)=1

Reason: 123/6250 is a terminating Decimal.

Ans: b) both Assertion and reason is not  correct explanation for Assertion.

65)If a and b are two positive integers then HCF*LCM= a*b

Reason : A number N Is divided by 15 gives the remainder 2 then  the remainder  is same  when is divided by 5

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

66) Assertion: 322/5=4

Reason 🙁 32)2/5=(25)2/5

             =22=4

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is the correct explanation for Assertion.

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Chapter 5 Consumer Rights Assertation & Reasoning Questions Class 10th Social Science

Q1 Assertion (A): Ford Motors is an MNC. 

Reason (R): It is one of the world’s largest automobile manufacturers with production spread over 26 countries.

Options: 

A Both A and R are true, and R is the correct explanation of A. 

B Both A and R are true, but R is not the correct explanation of A. 

C A is true but R is false. 

D A is false but R is true.

Ans A Both A and R are true, and R is the correct explanation of A.

Q2 Assertion (A): MNCs can exert a strong influence on product at distant locations 

Reason (R): MNCs set up partnership with local companies, use local companies for supplies, compete with local companies or buy them.

Options: 

A Both A and R are true, and R is the correct explanation of A. 

B Both A and R are true, but R is not the correct explanation of A. 

C A is true but R is false. 

D A is false but R is true.

Ans A Both A and R are true, and R is the correct explanation of A.

Q3 Assertion (A): Online shopping has become popular among people. 

Reason (R): It destroyed the domestic market.

Options: 

A Both A and R are true, and R is the correct explanation of A. 

B Both A and R are true, but R is not the correct explanation of A. 

C A is true but R is false. 

D A is false but R is true.

Ans A Both A and R are true, and R is the correct explanation of A.

Q4 Assertion (A): Foreign trade and foreign investment are two main factors of Globalisation. 

Reason (R): They are not playing any role in the international market.

Options: 

A Both A and R are true, and R is the correct explanation of A. 

B Both A and R are true, but R is not the correct explanation of A. 

C A is true but R is false. 

D A is false but R is true.

Ans C A is true but R is false.

Q5 Assertion (A): An MNC is a company that owns or controls production in more than one nation. 

Reason (R): They set up their offices and factories for production in regions where they can get cheap labour and other resources.

Options: 

A Both A and R are true, and R is the correct explanation of A. 

B Both A and R are true, but R is not the correct explanation of A. 

C A is true but R is false. 

D A is false but R is true.

Ans A Both A and R are true, and R is the correct explanation of A.

Q6 Assertion (A): Globalisation is related to only two countries. 

Reason (R): MNC s play a major role in globalization.

Options: 

A Both A and R are true, and R is the correct explanation of A. 

B Both A and R are true, but R is not the correct explanation of A. 

C A is true but R is false. 

D A is false but R is true.

Ans D A is false but R is true.

Q7 Assertion (A): People are attracted towards Chinese products. 

Reason (R): They are cheaper and new designed.

Options: 

A Both A and R are true, and R is the correct explanation of A. 

B Both A and R are true, but R is not the correct explanation of A. 

C A is true but R is false. 

D A is false but R is true.

Ans A Both A and R are true, and R is the correct explanation of A.

Q8 Assertion (A): Globalisation leads to increased competition in the international and domestic market. 

Reason (R): Globalisation also makes the consumer better off as they have a wider variety of goods to choose at lower prices.

Options: 

A Both A and R are true, and R is the correct explanation of A. 

B Both A and R are true, but R is not the correct explanation of A. 

C A is true but R is false. 

D A is false but R is true.

Ans A Both A and R are true, and R is the correct explanation of A.

Q9 Assertion (A): Investment made by MNCs is called foreign investment.

Reason (R): They need land, buildings ,machines and other equipments from that nation.

Options: 

A Both A and R are true, and R is the correct explanation of A. 

B Both A and R are true, but R is not the correct explanation of A. 

C A is true but R is false. 

D A is false but R is true.

Ans A Both A and R are true, and R is the correct explanation of A.

Q10 Assertion (A): Rapid improvement in technology has been one major factor that has stimulated the globalization process. 

Reason (R): Developing countries are likely to become at par with developed countries in terms of technological development due to globalization.

Options: 

A Both A and R are true, and R is the correct explanation of A. 

B Both A and R are true, but R is not the correct explanation of A. 

C A is true but R is false. 

D A is false but R is true.

Ans A Both A and R are true, and R is the correct explanation of A.

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Chapter 4 Globalisation and the Indian Economy Assertation & Reasoning Questions Class 10th Social Science

Directions:- In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both statements carefully and choose the correct answer from the below:

(a)Both A and R are true, R is the correct explanation of A.

(b) Both A and R are true, But R is not the correct explanation of A.

(c) A is true , R is false.

(d) A is false , R is true

1.) Assertion (A) :- Ford Motors is an MNC.

Reason (R):- It is one of the world’s largest automobile manufacturers with production spread over 26 countries.

Answer- (a) Both A and R are true, R is the correct explanation of A.

2.) Assertion (A):- MNCs can exert a strong influence on product at distant locations

Reason (R):- MNCs set up partnership with local companies, use local companies for supplies, compete with local companies or buy them.

Answer- (a) Both A and R are true, R is the correct explanation of A.

3.) Assertion (A) :- Online shopping has become popular among people.

Reason (R) it destroyed domestic market.

Answer- (a) Both A and R are true, R is the correct explanation of A.

4.) Assertion (A):- Foreign trade and foreign investment are two main factors of Globalisation.

Reason (R) :-They are not playing any role in international market.

Answer- (c) A is true , R is false.

5.) Assertion (A): An MNC is a company that owns or controls production in more than one nation.
Reason (R): They set up their offices and factories for production in regions where they can get cheap labour and other resources.

Answer- (a) Both A and R are true, R is the correct explanation of A.

6.) Assertion (A):-Globalisation is related with only two countries.

Reason (R):- MNC s play major role in globalization.

Answer- (d) A is false , R is true

7.) Assertion (A):- People are attracted towards Chinese products.

Reason (R) They are cheaper and new designed.

Answer- (a) Both A and R are true, R is the correct explanation of A.

8.) Assertion (A):- Globalisation leads to increased competition in international and domestic market.

Reason (R):-Globalisation also makes the consumer better off as they have a wider variety of goods to choose at lower prices.

Answer- (a) Both A and R are true, R is the correct explanation of A.

9.) Assertion (A):- Foreign trade and foreign investment are two main factors of Globalisation.

Reason (R) :-They are not playing any role in international market.

Answer- (c) A is true , R is false.

10.) Assertion (A) :- Investment made by MNCs is called foreign investment.\

Reason (R):- They need land buildings ,machines and other equipments from that nation.

Answer- (a) Both A and R are true, R is the correct explanation of A.

11.) Assertion (A):- Rapid improvement in technology has been one major factor that has stimulated the globalization process.

Reason (R):- Developing countries are likely to become at par with developed countries in terms of technological development due to globalization.

Answer- (a) Both A and R are true, R is the correct explanation of A.

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Chapter 3 Money and Credit Assertation & Reasoning Questions Class 10th Social Science

Directions:- In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both statements carefully and choose the correct answer from the below:

  • (a) Both assertion and reason are true, and reason is the correct explanation of
    assertion.
  • (b) Both assertion and reason are true, but reason is not the correct explanation of
    assertion.
  • (c) Assertion is true, but reason is false.
  • (d) Both assertion and reason are false.

1.) Assertion (A): Collateral is an asset that the borrower owns (such as land, building, vehicle, livestock, deposits with banks) and uses this as a guarantee to a lender until the loan is repaid.

Reason (R): Collateral is given as the lender can sell the collateral to recover the loan
amount if the borrower fails to repay the loan.

Answer – (a) Both assertion and reason are true, and reason is the correct explanation of assertion.

2.) Assertion (A): Banks charge a higher interest rate on loans than what they offer on deposits.

Reason (R): The difference between what is charged from borrowers and what is paid to
depositors is their main source of income.

Answer – (a) Both assertion and reason are true, and reason is the correct explanation of assertion.

3.) Assertion (A): Credit would be useful or not depends on the risk involved in a situation.

Reason (R): The chance of benefitting from credit ishighest in agriculture sector.

Answer – (c) Assertion is true, but reason is false.

4.) Assertion (A): Banks keep only a small proportion of their deposits as cash with
themselves.

Reason (R): Banks in India these days hold about 15 per cent of their deposits as cash.

Answer – (b) Both assertion and reason are true, but reason is not the correct explanation of assertion.

5.) Assertion (A): The terms of deposit are same for all credit arrangements.\

Reason (R): Credit arrangements are very complex process so to remove the
complexities same terms of deposits are used

Answer – (d) Both assertion and reason are false.

6.) Assertion (A): The facility of demand deposits makes it possible to settle payments
without the use of cash.

Reason (R) : Demand deposits are paper orders which make it
possible to transfer money from one person’s account to another person’s account.

Answer – (d) Both assertion and reason are false.

7.) Assertion (A): The Reserve Bank of India supervises the functioning of formal sources of loans.

Reason (R): The RBI sees that the banks give loans not just to profit-making businesses
and traders but also to small cultivators, small scale industries, to small borrowers etc.

Answer – (b) Both assertion and reason are true, but reason is not the correct explanation of assertion.

8.) Assertion (A): In India, no individual can refuse to accepta payment made in rupees.

Reason (R): Rupee is the legal tender in India

Answer – (a) Both assertion and reason are true, and reason is the correct explanation of assertion.

9.) Assertion (A): Sohan took credit in the form of advance payment from a buyer and he
delivered the goods to the buyer on time and also earned profit. The credit made sohan better off in this situation.

Reason (R): Credit can never push a person into a debt trap.

Answer – (c) Assertion is true, but reason is false.

10.) Assertion (A): The modern currency is used as a medium of exchange; however, it does not have a use of its own.

Reason (R): Modern currency is easy to carry

Answer – (b) Both assertion and reason are true, but reason is not the correct explanation of assertion.

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Chapter 2 Sectors of the Indian Economy Assertation & Reasoning Questions Class 10th Social Science

Directions:- In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both statements carefully and choose the correct answer from the below:

1.) Assertion (A) :- Leela works 5 days a week , receives her income on a last day of each month and gets medical facilities from her firm.

Reason (R) :- Leela is working in na organized sector.

  • (A) both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A) .
  • (B) both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A) .
  • (C) Assertion (A) is true but Reason (R) is false.
  • (D) Assertion (A) is false but Reason (R) is correct.

Answer- (A) both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A) .

2.) Assertion (A): Disguised unemployment is hidden in contrast to someone who does not have a job and is clearly visible as unemployed. Everyone is working, no one is fully employed.

Reason (R): In actual fact, labor effort gets divided.

[ KVS Hyderabad 2021 – 22 ]

  • (A) If both assertion (A) and reason (R) are true and reason (R) is the correct
    explanation of assertion (A).
  • (B) If both assertion (A) and reason (R) are true but reason (R) is not the correct
    explanation of assertion (A).
  • (C) Assertion (A) is true but reason (R) is false.
  • (D) Both assertion (A) and reason (R) are false.

Answer- (B) If both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

3.) Assertion (A) Under MNREGA 2005, those who are able to and are in need to work in rural areas are guaranteed 100 days of employment in a year.

Reason (R) The Central Government in India made a law implementing the Right to Work in about 625 districts of India.

  • (A) both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A) .
  • (B) both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A) .\
  • (C) Assertion (A) is true but Reason (R) is false.
  • (D) Assertion (A) is false but Reason (R) is correct.

Answer- (B) both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A) .

4.) Assertion (A): Per Capita Income is calculated in US dollars.

Reason (R): US dollar is not considered as the medium of international exchange. It is accepted as a method of payment across the world

  • (A) If both assertion (A) and reason (R) are true and reason (R) is the correct
    explanation of assertion (A).
  • (B) If both assertion (A) and reason (R) are true but reason (R) is not the correct
    explanation of assertion (A).
  • (C) Assertion (A) is true but reason (R) is false.
  • (D) Both assertion (A) and reason (R) are false.

Answer- (C) Assertion (A) is true but reason (R) is false.

5.) Assertion (A):- Rakesh is an educated and skilled worker who earns a high monthly salary as he is employed in a private bank in a city.

Reason (R)- all services sectors in India are growing extremely well and each individual engaged in any kind of tertiary activity and earns a high income.

  • (A) both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A) .
  • (B) both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A) .
  • (C) Assertion (A) is true but Reason (R) is false.
  • (D) Assertion (A) is false but Reason (R) is correct.

Answer- (A) both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A) .

6.) Assertion (A): In the public sector, the government owns most of the assets and provides all the services.

Reason (R): the purpose of the public sector is not first to earn profits but to promote public welfare.

  • (A) If both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
  • (B) If both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
  • (C) Assertion (A) is true but reason (R) is false.
  • (D) Both assertion (A) and reason (R) are false.

Answer- (A) If both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

7.) Assertion (A) An individual who manufactures flour from wheat is engaged in primary sector.

Reason (R) When some process of manufacturing is used the product is a part of secondary sector.

[ KVS Raipur 2021 – 22 ]

  • (A) both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A) .
  • (B) both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A) .
  • (C) Assertion (A) is true but Reason (R) is false.
  • (D) Assertion (A) is false but Reason (R) is correct.

Answer- (D) Assertion (A) is false but Reason (R) is correct.

8.) Assertion (A): The service sector is gaining more importance in the global economy.

Reason (R): As income levels decrease, certain sections of people start demanding many more services like private schools, and hospitals, eating outlets, tourism, etc

  • (A) If both assertion (A) and reason (R) are true and reason (R) is the correct
    explanation of assertion (A).
  • (B) If both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
  • (C) Assertion (A) is true but reason (R) is false.
  • (D) Both assertion (A) and reason (R) are false.

Answer- (C) Assertion (A) is true but reason (R) is false.

9.) Assertion (A) :- In India the primary sector is the largest employer.

Reason (R) :- The demand of services has increased enormously.

  • (A) both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A) .
  • (B) both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A) .
  • (C) Assertion (A) is true but Reason (R) is false.
  • (D) Assertion (A) is false but Reason (R) is correct.

Answer- (B) both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A) .

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Chapter 1 Development Assertation & Reasoning Questions Class 10th Social Science

Directions:- In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both statements carefully and choose the correct answer from the below:

1.) Assertion (A) – A high average income is not indicative of the overall wellbeing of a country.

Reason (R) – Average income does not cover human development indicates like level of
education, health and public facilities.

[ KVS Raipur 2021 – 22 ]

  • (A) both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A) .
  • (B) both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A) .
  • (C) Assertion (A) is true but Reason (R) is false.
  • (D) Assertion (A) is false but Reason (R) is correct.

Answer- (A) both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A) .

2.) Assertion: India has experienced some significant changes in the contribution to GDP by the primary sector

Reason: In terms of GDP, the service sector emerged as the largest producing sector in India replacing the primary sector.

[ KVS Hyderabad 2021 – 22 ]

  • A) If both assertion (A) and reason (R) are true and reason (R) is the correct
    explanation of assertion (A).
  • (B) If both assertion (A) and reason (R) are true but reason (R) is not the correct
    explanation of assertion (A).
  • (C) Assertion (A) is true but reason (R) is false.
  • (D) Both assertion (A) and reason (R) are false.

Answer- (D) Both assertion (A) and reason (R) are false.

3.) Assertion (A) Suppose the literacy rate in a state is 78% and the the net attendance ratio in secondary stage is 47%.

Reason ( R ) More than half of the students are going to other states for elementary education.

  • (A) both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A) .
  • (B) both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A) .
  • (C) Assertion (A) is true but Reason (R) is false.
  • (D) Assertion (A) is false but Reason (R) is correct.

Answer-(A) both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A) .

4.) Assertion (A) Sustainable development is a crucial step for the development of a country.

Reason ( R ) Sustainability is the capability to use the resources judicious and maintain
ecological balance.

  • (A) both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A) .
  • (B) both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A) .
  • (C) Assertion (A) is true but Reason (R) is false.
  • (D) Assertion (A) is false but Reason (R) is correct.

Answer-(B) both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A) .

5.) Assertion (A): Kerala has a low Infant Mortality Rate.

Reason (R): Kerala lacks the provision of basic health and educational facilities.

  • (A) If both assertion (A) and reason (R) are true and reason (R) is the correct
    explanation of assertion (A).
  • (B) If both assertion (A) and reason (R) are true but reason (R) is not the correct
    explanation of assertion (A).
  • (C) Assertion (A) is true but reason (R) is false.
  • (D) Both assertion (A) and reason (R) are false.

Answer- (C) Assertion (A) is true but reason (R) is false.

6.) Assertion (A): The availability of resources is a necessary condition for the development of any region, but mere availability of resources in the absence of corresponding changes in technology and institutions may hinder development.

Reason (R): There are many regions in our county that are rich in resources but these are included in economically backward regions.

  • (A) If both assertion (A) and reason (R) are true and reason (R) is the correct
    explanation of assertion (A).
  • (B) If both assertion (A) and reason (R) are true but reason (R) is not the correct
    explanation of assertion (A).
  • (C) Assertion (A) is true but reason (R) is false.
  • (D) Both assertion (A) and reason (R) are false.

Answer- (B) If both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

7. Assertion (A) A country at present has very high national income due to surplus oil resource. However it is essential to look for alternative sources of income also.

Reason (R) Oil is a natural resource that is non-renewable in nature. If it is not used judiciously then it will get exhausted soon.

  • (A) both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A) .
  • (B) both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A) .
  • (C) Assertion (A) is true but Reason (R) is false.
  • (D) Assertion (A) is false but Reason (R) is correct.

Answer- (A) both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A) .

8.) Assertion (A) Different people having different development goals.

Reason (R) People want freedom, equality, security and respect.

  • (A) both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A) .
  • (B) both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A) .
  • (C) Assertion (A) is true but Reason (R) is false.
  • (D) Assertion (A) is false but Reason (R) is correct.

Answer- (A) both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A) .

9.) Assertion (A): Developmental goals that people are not only about better income but also about other important things in life.

Reason (R): A safe and secure environment may allow more women to take up a variety of jobs or run a business.

[ KVS Hyderabad 2021 – 22 ]

(A) If both assertion (A) and reason (R) are true and reason (R) is the correct
explanation of assertion (A).
(B) If both assertion (A) and reason (R) are true but reason (R) is not the correct
explanation of assertion (A).
(C) Assertion (A) is true but reason (R) is false.
(D) Both assertion (A) and reason (R) are false.

Answer- (B) If both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

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