Check the below NCERT MCQ Questions for Class 10 Maths Chapter 1 Real Numbers with Answers Pdf free download. MCQ Questions for Class 10 Maths with Answers were prepared based on the latest exam pattern. We have provided Real Numbers Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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) \(\frac{3}{2}\)
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
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
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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