NCERT MCQ ON NUMBER SYSTEM

Question 1.

A rational number lying between √2 and √3 is
(a) √2+√32/2
(b) √6
(c) 1.6
(d) 1.9

Answer: (c) 1.6

Question 2.

Find the value of 54250√3
(a) 925
(b) 35
(c) 27125
(d) 2√35

Answer: (b) 35

Question 3.

Simplified value of (16)–14 × 16√4 is
(a) 16
(b) 4
(c) 1
(d) 0

Answer: (c) 1

Question 4.

Find the value of 64−2√4.
(a) 18
(b) 12
(c) 8
(d) 164

Answer: (a) 18

Question 5.

Find the value of 216√3 – 125√3
(a) 1
(b) -1
(c) 91√3
(d) 6/5

Answer: (a) 1

Question 6.

When 1515√ is divided by 3√3 find the quotient.
(a) 5√3
(b) 3√5
(c) 5√5
(d) 3√3

Answer: (c) 5√5

Question 7.

If √3 = 1.732 and √2 = 1.414, find the value of 1√3−√2
(a) 0.318
(b) 3.146
(c) 13.146
(d) √1.732 – √  1.414

Answer: (b) 3.146

Question 8.

Which of the following numbers is an irrational number?
(a) 16√ 4
(b) (3 – √3) (3 + √3)
(c) √5 + 3
(d) – √ 25

Answer: (c) √5 + 3

Question 9.

The decimal expansion of √2 is
(а) finite decimal
(b) 1.4121
(c) non-terminating recurring
(d) non-terminating non-recurring

Answer: (d) non-terminating non-recurring

Question 10.

If x = √75 and 5x = p√7, then the value of p is
(а) 5√7
(b) 257
(c) 725
(d) √75

Answer: (b) 257

Question 11.

If x = 2+√3, then x + 1/x =
(a) 5
(b) 4
(c) -4
(d) -5

Answer: (b) 4

Question 12.

Every rational number is:
(a) Whole number
(b) Natural number
(c) Integer
(d) Real number

Answer: (d) Real number

Question 13.

3√6 + 4√6 is equal to:
(a) 6√6
(b) 7√6
(c) 4√12
(d) 7√12

Answer: (b) 7√6

Question 14.

Expression of 2.2323… in the form of a/ b is ________.
(a) 221/99
(b) 75/31
(c) 7/99
(d) 223/99

Answer: (a) 221/99

Question 15.

Which of the following lies between 0 and -1?
(a) 0
(b) -3
(c) -2/3
(d) 4/3

Answer: (c) -2/3


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