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## Real Numbers Class 10 MCQs Questions with Answers

Real Numbers Class 10 MCQ 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: (a) 0 ≤ r < 3

Class 10 Maths Chapter 1 MCQ 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: (b) x = 21, y = 84

Real Numbers MCQ Class 10 Question 3.
If HCF (a, b) = 12 and a × b = 1800 then LCM (a, b) is
(a) 3600
(b) 900
(c) 150
(d) 90

Class 10 Real Numbers MCQ 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

MCQ On Real Numbers Class 10 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

Class 10 Maths Ch 1 MCQ 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

MCQ Of Real Numbers Class 10 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.

Chapter 1 Maths Class 10 MCQ 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

MCQ Questions For Class 10 Maths Chapter 1 Question 9.
Given that LCM of (91, 26) = 182 then HCF (91, 26) is
(a) 13
(b) 26
(c) 7
(d) 9

Ch 1 Maths Class 10 MCQ 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

Class 10 Maths Ch 1 MCQ Questions 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

Class 10 Maths Real Numbers MCQ 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: (b) any odd natural number

Ch 1 Maths Class 10 MCQ Questions 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

Class 10 Math Chapter 1 MCQ 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: (a) 4 places of decimal

MCQ Class 10 Maths Chapter 1 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: (c) an odd natural number

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

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

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: (a) a × b = H × L

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

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