text: MCQ Questions for Class 10 Maths Chapter 1 Real Numbers with Answers
  
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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: (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: (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
  
  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
  
  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
  
  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
  
  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.
  
  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
  
  Question 9.
  Given that LCM of (91, 26) = 182 then HCF (91, 26) is
  (a) 13
  (b) 26
  (c) 7
  (d) 9
  
  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
  
  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
  
  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
  
  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
  
  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
  
  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