Class 10 Maths Real Numbers with Answers MCQ

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 Class 10 Maths Real Numbers with Answers MCQ


1. If two positive integers A and B can be expressed as A = xy3 and B = x4y2z; x, y being prime numbers then HCF (A, B) is





ANSWER= A. xy²

 

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





ANSWER= D. 13

 

3. The least number that is divisible by all the numbers from 1 to 5 (both inclusive) is





ANSWER= B. 60 Explaination:B.; [Hint. LCM of 2, 3, 4, 5 = 60

 

4. The least number that is divisible by all the numbers from 1 to 8 (both inclusive) is





ANSWER= A. 840

 

5. The decimal expansion of the rational number 14587250 will terminate after:





ANSWER= C. three decimal places

 

6. The decimal expansion of the rational number 972×54 will terminate after:





ANSWER= D. four decimal places

 

7. The product of two consecutive natural numbers is always:





ANSWER= B. even number

 

8. If the HCF of 408 and 1032 is expressible in the form 1032 x 2 + 408 × p, then the value of p is





ANSWER= B. -5 Explaination:B.; [Hint. HCF of 408 and 1032 is 24, .-. 1032 x 2 + 408 x (-5)]

 

9. The number in the form of 4p + 3, where p is a whole number, will always be





ANSWER= B. odd

 

10. When a number is divided by 7, its remainder is always:





ANSWER= C. less than 7

 

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





ANSWER= A. 24

 

12. The number ‘π’ is





ANSWER= C. irrational number

 

13. If LCM (77, 99) = 693, then HCF (77, 99) is





ANSWER= A. 11

 

14. Euclid’s division lemma states that for two positive integers a and b, there exist unique integer q and r such that a = bq + r, where r must satisfy





ANSWER= D. 0 ≤ r < b

 

15. HCF of 8, 9, 25 is





ANSWER= D. 1

 

16. The product of a rational and irrational number is





ANSWER= B. irrational

 

17. The sum of a rational and irrational number is





ANSWER= B. irrational

 

18. The product of two different irrational numbers is always





ANSWER= B. irrational

 

19. The sum of two irrational numbers is always





ANSWER= A. irrational

 

20. If b = 3, then any integer can be expressed as a =





ANSWER= A. 3q, 3q+ 1, 3q + 2

 

21. The product of three consecutive positive integers is divisible by





ANSWER= B. 6

 

22. The set A = {0,1, 2, 3, 4, …} represents the set of





ANSWER= A. whole numbers

 

23. Which number is divisible by 11?





ANSWER= B. 1452

 

24. LCM of the given number ‘x’ and ‘y’ where y is a multiple of ‘x’ is given by





ANSWER= B. y

 

25. The largest number that will divide 398,436 and 542 leaving remainders 7,11 and 15 respectively is





ANSWER= A. 17

 

26. There are 312, 260 and 156 students in class X, XI and XII respectively. Buses are to be hired to take these students to a picniC. Find the maximum number of students who can sit in a bus if each bus takes equal number of students





ANSWER= A. 52 Explaination:A.; [Hint. HCF of 312, 260, 156 = 52]

 

27. There is a circular path around a sports fielD. Priya takes 18 minutes to drive one round of the fielD. Harish takes 12 minutes. Suppose they both start at the same point and at the same time and go in the same direction. After how many minutes will they meet ?





ANSWER= A. 36 minutes Explaination:A.; [Hint. LCM of 18 and 12 = 36]

 

28. Express 98 as a product of its primes





ANSWER= C. 2 × 7²

 

29. 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.





ANSWER= A. 98 kg Explaination:A.; [Hint. HCF of 490, 588, 882 = 98 kg]

 

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





ANSWER= B. 2p

 

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





ANSWER= A. 2p + 1

 

32. m² – 1 is divisible by 8, if m is





ANSWER= B. an odd integer

 

33. If two positive integers A and B can be ex-pressed as A = xy3 and B = xiy2z; x, y being prime numbers, the LCM (A, B) is





ANSWER= D. x4y3z

 

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





ANSWER= C. always irrational

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