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 a^p÷a^q=a^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.}

^{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:a^ma ⁿ=a^m+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:  x^4. =X⁵/x ¹

Reason: a^b/a^c= a^b-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: 32^2/5=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.