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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