# MCQ Questions for Class 8 Maths Chapter 6 Squares and Square Roots with Answers

Free PDF Download of CBSE Maths Multiple Choice Questions for Class8 with Answers Chapter 6 Squares and Square Roots. Maths MCQs for Class 8 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 8 Maths Squares and Square Roots MCQs Pdf with Answers to know their preparation level.

## Squares and Square Roots Class 8 Maths MCQs Pdf

1. The Pythagorean triples whose smallest number is 8:
a) 8, 16 17
b) 8, 17, 18
c) 8, 15, 17
d) 8, 15, 16

Explanation: The general form of Pythagorean triplets is 2m, m2-1, m2+1

Given, 2m = 8

So, m = 4

m2 – 1= 42-1 = 16-1 = 15

m2+1=42+1= 16+1 = 17

2. Which of the following is a perfect square?
a) 1057
b) 625
c) 7928
d) 64000

Explanation: The natural numbers which end with 0,2,3,7 and 8 are not perfect squares. Hence, 625 is a perfect square.

25 x 25 = 625

3. Which of the following will have 6 at unit place?
a) 192
b) 112
c) 242
d) 132

Explanation: 242 = 24 x 24 = 576

4. If 5278 is squared, then what will be at unit place?
a) 8
b) 7
c) 6
d) 4

Explanation: If we square the unit digit of the number 5278 we get:

82 = 64

Hence, at the unit place of 52782 the number is 4.

5. What will be the number of zeros in square of 400?
a) 2
b) 3
c) 4
d) 6

Explanation: 4002 = 400 x 400 = 160000

6. How many natural numbers lie between 92 and 102?
a) 17
b) 18
c) 19
d) 20

Explanation: The number of natural numbers between n2 and (n+1)2 is equal to 2n.

Here, n = 9

Therefore, 2n = 2 x 9 = 18

7. What is the sum of first four odd natural numbers?
a) 16
b) 17
c) 18
d) 20

Explanation: The sum of first odd natural numbers = n 2

Here, n = 4

So, n2 = 42 = 16

8. The value of 92 – 1 is equal to:
a) 81
b) 80
c) 79
d) None of the above

Explanation: 92-1 = 81 – 1 = 80

9. The sum of 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 +19 is:
a) 121
b) 120
c) 100
d) 110

Explanation: Sum of n odd numbers = n2

102 = 100

10. The square of 42 is:
a) 1764
b) 1664
c) 1564
d) 1504

Explanation: 422 = (40 + 2)2 = 40(40 + 2) + 2(40 + 2)

= 402 + 40 x 2 + 2 x 40 + 22

= 1600 + 80 + 80 + 4

= 1764

11.Which of the following is not a square number?
(a) 4
(b) 9
(c) 16
(d) 24

12. The square of 23 is :
(a) 529
(b) 526
(c) 46
(d) 429

13. The square of which of the following would be even number?
(a) 2826
(b) 7779
(c) 1057
(d) 131

14. The square of which of the following would be odd number?
(a) 431
(b) 272
(c) 1234
(d) 7928

15. Which of the following is a perfect square ?
(a) 45
(b) 81
(c) 18
(d) 54

16. What will be the “ one’s digit” in the square of 1234?
(a) 6
(b) 2
(c) 8
(d) 9

17. What will be the number of zeros in the square of 400?
(a) 5
(b) 1
(c) 3
(d) 4

18. The perfect square number between 30 and 40 is :
(a) 35
(b) 39
(c) 36
(d) 32

19. Which of the following number would have digit 6 at units place?
(a) 192
(b) 242
(c) 252
(d) 132

20. Which of the following number would have digit 5 at units place :
(a) 952
(b) 592
(c) 242
(d) 422

21. Which of the following number would have digit 1 at units place?
(a) 812
(b) 182
(c) 542
(d) 952

22. How many natural numbers lie between 9² and 10²?
(a) 15
(b) 19
(c) 18
(d) 17

23. How many non square numbers lie between 11² and 12²?
(a) 21
(b) 23
(c) 22
(d) 20

24. 25 can be express as the sum of first _________consecutive odd numbers.
(a)
(b) 4
(c) 6
(d) 3

25. How many numbers lie between square of 12 and 13?
(a) 21
(b) 23
(c)22
(d)24

26. What will be the value of „ x‟ in Pythagorean triplet (6,8, x)?
(a) 5
(b) 7
(c)10
(d) 11

27. The square of -9 is
(a) -81
(b) 81
(c) 18
(d) -18

28. The square root of 6400 is
(a) 80
(b) 81
(c) 32
(d) 23

29. By which smallest number 90 must be multiplied so as to make it a perfect square?
(a) 10
(b) 2
(c) 5
(d) 3

30. By which smallest number 48 must be divided so as to make it a perfect square ?
(a) 2
(b) 3
(c) 6
(d) 4

31. which smallest number should be added to 80 so as to make it a perfect square?
(a) 2
(b) 3
(c) 1
(d) 4

32. What could be the possible “one’s digit” of the square root of 625?
(a) 5
(b) 0
(c) 4
(d) 8

33. Which is the smallest three-digit perfect square?
(a) 100
(b) 101
(c) 121
(d) 144

34. Which is the greatest three-digit perfect square?
(a) 999
(b) 961
(c) 962
(d) 970

35. Which is the greatest 4-digit perfect square?
(a) 9999
(b) 9990
(c) 9800
(d) 9801

36. Which is the smallest 4-digit perfect square?
(a) 1024
(b) 1025
(c) 1000
(d) 1016

37. What will be the number of digits in the square root of 25600?
(a) 3
(b) 2
(c) 5
(d) 4

38. What will be the number of digits in the square root of 1296?
(a) 2
(b) 3
(c) 1
(d) 4

39. The square root of 12.25 is _______________ .
(a) 3.5
(b) 2.5
(c) 35
(d) 25

40. What is the length of the side of a square whose area is 441 cm²?
(a) 21
(b) 22
(c) 20
(d) 12

41. In a right angle triangle ABC , right angled at B, AB=6cm, BC=8cm ,then AC= ____ .
(a) 10
(b) 12
(c) 21
(d) 14

42. Which least number should be subtracted from 629 so as to get a perfect square?
(a) 4
(b) 5
(c) 6
(d) 3

43. The square root of 1.21 is
(a) 1.1
(b) 11
(c) 21
(d) 2.1

44. What is the smallest square number which is divisible by each of the numbers 6,9 and 15 ?
(a) 900
(b) 810
(c) 630
(d) 720

45. The square of 1.2 is
(a) 144
(b) 1.44
(c) 14.4
(d) 2.4

46. The square root of 169 is
(a) -13
(b) 1.3
(c) -1.3
(d) $$\frac{13}{10}$$

47. What is the length of the diagonal of a rectangle having dimensions 3cm and 4cm?
(a) 5
(b) 7
(c) 1
(d) 4

48. What will be the length of third side of a right angled triangle whose hypotenuse is 5cm and one of the side is 3 cm?
(a) 2
(b) 3
(c) 4
(d) 5

49. Which of the following is not a perfect square?
(a) 81
(b) 18
(c) 100
(d) 121

40. Which is the smallest square number that is divisible by each of the number 4, 9 and 10?
(a) 900
(b) 810
(c) 800
(d) 920