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# MCQ Questions for Class 10 Maths: Ch 1 Real Numbers

Class 10 Maths Chapter 1 Real Numbers MCQ Questions with answers that will help you in supplementing your needs for the examinations and improving your knowledge at the same time. Class 10 MCQ Questions are a great way through which one can practice a lot of questions in less time and touching every topics given in a chapter. MCQ Questions for Class 10 Maths will widen your perspective regarding a given topic and understand a given problems in a better manner. Study Materials for Class 10 Maths Chapter 1 Real Numbers

## MCQ Questions for Class 10 Maths: Ch 1 Real Numbers with answers

1. A number when divided by 61 gives 27 as quotient and 32 as remainder . find the number
(a) 1967
(b) 1796
(c) 1679
(d) 1569
► (c) 1679

2. The sum of a rational and an irrational number is
(a) Rational
(b) Irrational
(c) Both (a) and (c)
(d) Either (a) or (b)
► (b) Irrational

3. The product of a rational and irrational number is
(a) rational
(b) irrational
(c) both of above
(d) none of above
► (b) irrational

4. The decimal expansion of the rational number 47/2352 will terminate after:
(a) one decimal place
(b) two decimal places
(c) three decimal places​
(d) more than three decimal places
► (c) three decimal places​

5. √7 is
(a) An integer
(b) An irrational number
(c) A rational number
(d) None of these
► (b) An irrational number

6. For positive integers a and 3, 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
► (a) 0 < r < 3

7. HCF of 8, 9, 25 is
(a) 8
(b) 9
(c) 25
(d) 1
► (d) 1

8. Which number is divisible by 11?
(a) 1516
(b) 1452
(c) 1011
(d) 1121
► (b) 1452

9. A lemma is an axiom used for proving
(a) other statement
(b) no statement
(d) none of these
► a) other statement

10. A terminating decimal number
(b) a rational number
(c) an irrational number
(d) Both (a) and (b)
► (b) a rational number

11.  The smallest composite number is:
(a) 1
(b) 2
(c) 3
(d) 4
► (c) 3

12. The largest number that will divide 398,436 and 542 leaving remainders 7,11 and 15 respectively is
(a) 17
(b) 11
(c) 34
(d) 45
► (a) 17

13. For some integer p, every odd integer is of the form
(a) 2p + 1
(b) 2p
(c) p + 1
(d) p
► (a) 2p + 1

14. π is
(a) a rational number
(b) an irrational number
(c) both (a) & (b)
(d) neither rational nor irrational
► (b) an irrational number

15.  The smallest composite number is:
(a) 1
(b) 2
(c) 3
(d) 4
► (c) 3

16. The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively, is
(a) 260
(b) 75
(c) 65
(d) 13
► (d) 13

17. The least number that is divisible by all the numbers from 1 to 8 (both inclusive) is
(a) 840
(b) 2520
(c) 8
(d) 420
► (a) 840

18. 1/√3 is -
(a) A rational number
(b) An irrational number
(c) A whole number
(d) None of these
► (b) An irrational number

19. The product of three consecutive integers is divisible by
(a) 5
(b) 6
(c) 7
(d) none of these
► (b) 6

20. Every positive even integer is of the form ____ for some integer ‘q’.
(a) 2q
(b) 2q – 1
(c) 2q + 1
(d) none of these
► (a) 2q

21. The largest number which divides 615 and 963 leaving remainder 6 in each case is
(a) 82
(b) 95
(c) 87
(d) 93
► (c) 87

22.The product of a non zero rational and an irrational number is
(a) Always irrational
(b) Always rational
(c) Rational or irrational
(d) One
►(a) Always irrational

23. 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

24. Two natural numbers whose difference is 66 and the least common multiple is 360, are:
(a) 120 and 54
(b) 90 and 24
(c) 180 and 114
(d) 130 and 64
► (b) 90 and 24

25. The least positive integer divisible by 20 and 24 is
(a) 360
(b) 120
(c) 480
(d) 240
► (b) 120

26. 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.

These given MCQ Questions will help you a lot in covering many topics in a limited time. Also, you can enhance your knowledge regarding a certain topic in a effective manner. Other than these, Studyrankers has also provided Study Materials for Class 10 that will provide complete solutions of every problems you have. These comprises NCERT Solutions for Class 10 Maths, CBSE Notes for Class 10 Maths, Extra Questions for Class 10 Maths. Our subject matter experts have given a lot of time and their experience in the preparation of these knowledge charts.
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