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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
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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