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## MCQ Questions for Class 10 Mathematics with Answers

## Q1. HCF of 8, 9, 25 is

(i) 8

(ii) 9

(iii) 25

(iv) 1

(iv) 1

## Q2. For some integer n, the odd integer is represented in the form of:

(i) n

(ii) n+1

(iii) 2n+1

(iv) 2n

(iii) 2n+1

## Q3. The product of a rational and irrational number is

(i) rational

(ii) irrational

(iii) both of above

(iv) none of above

(ii) irrational

## Q4. The greatest number of 5 digits exactly divisible by 15, 24 and 36 is

(i) 99620

(ii) 99720

(iii) 99968

(iv) 99960

(ii) 99720

## Q5. If HCF (16, y) = 8 and LCM (16, y) = 48, then the value of y is

(i) 24

(ii) 16

(iii) 8

(iv) 48

(i) 24

## Q6. The sum of first five prime numbers is:

(i) 26

(ii) 15

(iii) 39

(iv) 28

(iv) 28

## Q7. The product of a rational and irrational number is

(i) rational

(ii) irrational

(iii) both of above

(iv) none of above

(ii) irrational

## Q8. Which of the following is not irrational?

(i) (3+√7)

(ii) (3-√7)

(iii) (3+√7) (3-√7)

(iv) 3√7

(iii) (3+√7) (3-√7)

## Q9. √7 is

(i) An integer

(ii) An irrational number

(iii) A rational number

(iv) None of these

(ii) An irrational number

## Q10. The unit value of 100 100 6 – 5 is

(i) 0

(ii) 1

(iii) 2

(iv) 3

(ii) 1

## Q11. The unit’s digit obtained on simplifying 207×781×39×94 is:

(i) 9

(ii) 1

(iii) 7

(iv) 2

(iv) 2

## Q12. The sum of two irrational numbers is always

(i) irrational

(ii) rational

(iii) rational or irrational

(iv) one

(i) irrational

## Q13. The addition of a rational number and an irrational number is equal to:

(i) rational number

(ii) Irrational number

(iii) Both

(iv) None of the above

(ii) Irrational number

## Q14. HCF of 8, 9, 25 is

(i) 8

(ii) 9

(iii) 25

(iv) 1

(iv) 1

## Q15. If LCM and HCF of two numbers are equal, then the numbers will be

(i) Composite

(ii) Prime

(iii) Equal

(iv) Co-prime

(iii) Equal

## Q16. The number √3 is a/an:

(i) integer

(ii) rational number

(iii) irrational number

(iv) None of these

(iii) irrational number

## Q17. The product of three consecutive positive integers is divisible by

(i) 4

(ii) 6

(iii) no common factor

(iv) only 1

(ii) 6

## Q18. If set A = {1, 2, 3, 4, 5,…} is given, then it represents:

(i) Whole numbers

(ii) Rational Numbers

(iii) Natural numbers

(iv) Complex numbers

(iii)Natural numbers

## Q19. Which number is divisible by 11?

(i) 1516

(ii) 1452

(iii) 1011

(iv) 1121

(ii) 1452

## Q20. The decimal expansion of the rational number 12879 /1250 will terminate after:

(i) One decimal places

(ii) Two decimal places

(iii) Three decimal places

(iv) Four decimal places

(iv) Four decimal places

## Q21. The total number of even prime numbers is:

(i) 0

(ii) 1

(iii) 2

(iv) None of these

(ii) 1

## Q22. Which number is divisible by 11?

(i) 1516

(ii) 1452

(iii) 1011

(iv) 1121

(ii) 1452

## Q23. The largest number that divides 70 and 125, which leaves the remainders 5 and 8, is:

(i)65

(ii)15

(iii)13

(iv)25

(iii)13

## Q24. The smallest composite number is:

(i) 1

(ii) 2

(iii) 3

(iv) 4

(iii) 3

## Q25. Which of the following statements is always true?

(i) The sum or difference of a rational and an irrational number is rational.

(ii) Every irrational number is a surd.

(iii) The product or quotient of a non-zero rational number and an irrational number is irrational.

(iv) All the above

(iii) The product or quotient of a non-zero rational number and an irrational number is irrational.

## Q26. The sum of two numbers is 37 and their product is 342. The numbers are:

(i) 18, 19

(ii) 23, 14

(iii) 24, 13

(iv) 28, 9

(i) 18, 19

#### Q27. Three farmers have 490 kg, 588 kg and 882 kg of wheat respectively. Find the maximum capacity of a bag so that the wheat can be packed in exact number of bags.

(i) 98 kg

(ii) 290 kg

(iii) 200 kg

(iv) 350 kg

(i) 98 kg

## Q28. The least number that is divisible by all the numbers from 1 to 5 is.

(i)70

(ii)60

(iii)80

(iv)90

(ii)60

## Q29. For some integer p, every odd integer is of the form

(i) 2p + 1

(ii) 2p

(iii) p + 1

(iv) p

(i) 2p + 1

## Q30. The largest number that divides 588, 1999 and 1650 leaving 3, 10 and 12 respectively is

(i) 117

(ii) 109

(iii) 27

(iv) 43

(i) 117

## Q31. 5 √2 √3 is:

(i) a natural number

(ii) an integer

(iii) a rational number

(iv) an irrational number

(iv) an irrational number

## Q32. For some integer p, every even integer is of the form

(i) 2p + 1

(ii) 2p

(iii) p + 1

(iv) p

(ii) 2p

## Q33. The smallest composite number is:

(i) 1

(ii) 2

(iii) 3

(iv) 4

(iii) 3

## Q34. Any one of the numbers a, a +2 and a + 4 is a multiple of:

(i) 2

(ii) 3

(iii) 5

(iv) 7

(ii) 3

## Q35. The product of a non-zero rational and an irrational number is

(i) always rational

(ii) rational or irrational

(iii) always irrational

(iv) zero

(iii) always irrational

## Q36. The least number that is divisible by all the numbers from 1 to 8 is

(i) 840

(ii) 2520

(iii) 8

(iv) 420

(i) 840

## Q37. Given that LCM (91, 26) = 182 then, HCF (91, 26) is:

(i) 13

(ii) 26

(iii) 7

(iv) 9

(i) 13

## Q38. The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively, is

(i) 260

(ii) 75

(iii) 65

(iv) 13

(iv) 13

## Q39. The product of three consecutive integers is divisible by

(i) 5

(ii) 6

(iii) 7

(iv) none of these

(ii) 6

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## MCQ Questions for Class 10 Mathematicss with Answers

**Lesson 1. Real Numbers Class 10 MCQs****Lesson 2. Polynomials Class 10 MCQs****Lesson 3. Pair Of Linear Equations In Two Variables Class 10 MCQs****Lesson 4. Quadratic Equations Class 10 MCQs****Lesson 5. Arithmetic Progression Class 10 MCQs****Lesson 6. Triangles Class 10 MCQs****Lesson 7. Coordinate Geometry Class 10 MCQs****Lesson 8. Introduction To Trigonometry Class 10 MCQs****Lesson 9. Some Applications Of Trigonometry Class 10 MCQs****Lesson 10. Circles Class 10 MCQs****Lesson 11. Constructions Class 10 MCQs****Lesson 12. Areas Related To Circles Class 10 MCQs****Lesson 13. Surface Areas And Volumes Class 10 MCQs****Lesson 14. Statistics Class 10 MCQs****Lesson 15. Probability Class 10 MCQs**