# MCQ Questions for Class 10 Maths Chapter 1 Real Numbers with Answers

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Below you will find MCQ Questions of Chapter 1 Real Numbers Class 10 Maths that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 10 MCQ Questions with answers will widen your skills and understand concepts in a better manner.

# MCQ Questions for Class 10 Maths Chapter 1 Real Numbers with Answers

1. If d is the HCF of 56 and 72, then values of x,y satisfying d = 56 x+72y :

(a) x = 3, y = −4

(b) x = −4,y = 3

(c) x = 4,y = −3

(d) x = −3,y = 4

► (c) x = 4,y = −3

2. If two positive integers a and b are written as a = x3y2 and b = xy3, where x, y are prime numbers, then LCM(a, b) is

(a) xy

(b) xy2

(c) x3y3

(d) x2y2

► (c) x3y3

3. Every positive odd integer is of the form ________ where ‘q’ is some integer.

(a) 3q + 1

(b) 5q + 1

(c) 2q + 1

(d) 2q + 2

► (c) 2q + 1

4. If HCF (a, b) = 12 and a × b = 1800 then LCM (a, b) is

(a) 3600

(b) 900

(c) 150

(d) 90

► (c) 150

5. The decimal expansion of n is

(a) terminating

(b) non-terminating and non-recurring

(c) non-terminating and recurring

(d) does not exist.

► (b) non-terminating and non-recurring

6. The HCF and LCM of two numbers is 9 and 459 respectively. If one of the number is 27, then the other number is

(a) 459

(b) 153

(c) 135

(d) 150

► (b) 153

7. Two natural numbers whose sum is 85 and the least common multiple is 102 are:

(a) 30 and 55

(b) 17 and 68

(c) 35 and 55

(d) 51 and 34

► (d) 51 and 34

8. The largest number which divides 70 and 125 leaving remainders 5 and 8 respectively is

(a) 13

(b) 65

(c) 875

(d) 1750

► (a) 13

9. Find the greatest number of 5 digits, that will give us remainder of 5, when divided by 8 and 9 respectively.

(a) 99921

(b) 99931

(c) 99941

(d) 99951

► (c) 99941

10. 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

► (b) 1

11. If HCF(a, b) = 12 and a × b = 1800, then LCM(a, b) is

(a) 150

(b) 90

(c) 900

(d) 1800

► (a) 150

12. The product of two consecutive integers is divisible by

(a) 2

(b) 3

(c) 5

(d) 7

► (a) 2

13. The least perfect square number which is divisible by 3, 4, 5, 6 and 8 is

(a) 900

(b) 1200

(c) 2500

(d) 3600

► (d) 3600

14. If 112 = q×6+r, then the possible values of r are:

(a) 2, 3, 5

(b) 0, 1, 2, 3, 4, 5

(c) 1, 2, 3, 4

(d) 0, 1, 2, 3

► (b) 0, 1, 2, 3, 4, 5

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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

► (c) an odd natural number

16. What is the number x? The LCM of x and 18 is 36. The HCF of x and 18 is 2.

(a) 2

(b) 3

(c) 1

(d) 4

► (d) 4

17. If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is

(a) 4

(b) 2

(c) 1

(d) 3

► (b) 2

18. 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

► (b) 2

19. For any two positive integers a and b, there exist (unique) whole numbers q and r such that

(a) q = ar + b , 0 ⩽ r < b.

(b) a = bq + r , 0 ⩽ r < b.

(c) b = aq + r , 0 ⩽ r < b.

(d) None of these

► (b) a = bq + r , 0 ⩽ r < b.

20. Which of the following numbers has terminating decimal expansion?

(a) 3/11

(b) 3/5

(c) 5/3

(d) 3/7

► (b) 3/5

21. The LCM of 2.5, 0.5 and 0.175 is

(a) 2.5

(b) 5

(c) 7.5

(d) 0.875

► (d) 0.875

22. The multiplicative inverse of zero is

(a) Is 1

(b) Is 0

(c) Is 1/0

(d) Does not exist

► (d) Does not exist

Hope the given MCQ Questions will help you in cracking exams with good marks. These Real Numbers MCQ Questions will help you in practising more and more questions in less time.