CBSE Class 10 Maths MCQ Questions

Students can also refer to NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers for better exam preparation and score more marks.

Real Numbers Class 10 MCQs Questions with Answers

Question 1.
For any positive integer a and b, there exist unique integers q and r such that a = 3q + r, where r must satisfy.
(a) 0 ≤ r < 3
(b) 1 < r < 3
(c) 0 < r < 3
(d) 0 < r ≤ 3

Answer

Answer: (a) 0 ≤ r < 3

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Question 2.
The values of x and y is the given figure are

(a) x + 10, y = 14
(b) x = 21, y = 84
(c) x = 21, y = 25
(d) x = 10, y = 40

Answer

Answer: (b) x = 21, y = 84

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Question 3.
If HCF (a, b) = 12 and a × b = 1800 then LCM (a, b) is
(a) 3600
(b) 900
(c) 150
(d) 90

Answer

Answer: (c) 150

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Question 4.
If mⁿ = 32, where m and n are positive integers, then the value of (n)^mn is
(a) 9765625
(b) 9775625
(c) 9785625
(d) 9865625

Answer

Answer: (a) 9765625

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Question 5.
If (\(\frac{9}{7}\))³ × (\(\frac{49}{81}\))^2x-6 = (\(\frac{7}{9}\))⁹ then value of x is
(a) 12
(b) 9
(c) 8
(d) 6

Answer

Answer: (d) 6

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Question 6.
The decimal expansion of \(\frac{17}{8}\) will terminate after how many places of decimals?
(a) 1
(b) 2
(c) 3
(d) will not terminate

Answer

Answer: (c) 3

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Question 7.
The decimal expansion of n is
(a) terminating
(b) non-terminating and non-recurring
(c) non-terminating and recurring
(d) does not exist.

Answer

Answer: (b) non-terminating and non-recurring

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Question 8.
If HCF of 55 and 99 is expressible in the form 55 m – 99, then the value of m:
(a) 4
(b) 2
(c) 1
(d) 3

Answer

Answer: (b) 2

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Question 9.
Given that LCM of (91, 26) = 182 then HCF (91, 26) is
(a) 13
(b) 26
(c) 7
(d) 9

Answer

Answer: (a) 13

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Question 10.
The decimal expansion of number \(\frac{441}{2^2×5^3×7}\) is
(a) A terminating decimal
(b) Non-terminating but repeating
(c) Non-terminate non repeating
(d) terminating after two places of decimal

Answer

Answer: (a) A terminating decimal

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Question 11.
If A = 2n + 13, B = n + 7 where n is a natural number then HCF of A and B
(a) 2
(b) 1
(c) 3
(d) 4

Answer

Answer: (b) 1

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Question 12.
(-1)ⁿ + (-1)⁸ⁿ = 0 when n is
(a) any positive integer
(b) any odd natural number
(c) any even numeral number
(d) any negative integer

Answer

Answer: (b) any odd natural number

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Question 13.
If the LCM of 12 and 42 is 10 m + 4 then the value of m is
(a) 50
(b) 8
(c) \(\frac{1}{5}\)
(d) l

Answer

Answer: (b) 8

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Question 14.
The decimal expansion of the rational number \(\frac{6243}{2^2×5^4}\) will terminate after
(a) 4 places of decimal
(b) 3 places of decimal
(c) 2 places of decimal
(d) 1 place of decimal

Answer

Answer: (a) 4 places of decimal

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Question 15.
n² – 1 is divisible by 8, if n is
(a) an integer
(b) a natural number
(c) an odd natural number
(d) an even natural number

Answer

Answer: (c) an odd natural number

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Question 16.
If n is a natural number, then exactly one of numbers n, n + 2 and n + 1 must be a multiple of
(a) 2
(b) 3
(c) 5
(d) 7

Answer

Answer: (b) 3

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Question 17.
The rational number between 72 and 73 is
(a) \(\frac{6}{5}\)
(b) \(\frac{3}{4}\)
(c) \(\frac{3}{2}\)
(d) \(\frac{4}{5}\)

Answer

Answer: (c) \(\frac{3}{2}\)

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Question 18.
If a and 6 are two positive numbers and H and L are their HCF and LCM respectively. Then
(a) a × b = H × L
(b) a = b × H
(c) a = \(\frac{b×L}{H}\)
(d) H = \(\frac{L}{a×b}\)

Answer

Answer: (a) a × b = H × L

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Question 19.
LCM of 2³ × 3² and 2² × 3³ is
(a) 2³
(b) 3³
(c) 2³ × 3³
(d) 2² × 3²

Answer

Answer: (c) 2³ × 3³

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Question 20.
The LCM of 2.5, 0.5 and 0.175 is
(a) 2.5
(b) 5
(c) 7.5
(d) 0.875

Answer

Answer: (d) 0.875

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