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## 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

**Answer/Explanation**

Answer: (c)

Explanation: The general form of Pythagorean triplets is 2m, m^{2}-1, m^{2}+1

Given, 2m = 8

So, m = 4

m^{2} – 1= 4^{2}-1 = 16-1 = 15

m^{2}+1=4^{2}+1= 16+1 = 17

**2. Which of the following is a perfect square?**

a) 1057

b) 625

c) 7928

d) 64000

**Answer/Explanation**

Answer: (b)

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) 19^{2}

b) 11^{2}

c) 24^{2}

d) 13^{2}

**Answer/Explanation**

Answer: (c)

Explanation: 24^{2} = 24 x 24 = 576

**4. If 5278 is squared, then what will be at unit place?**

a) 8

b) 7

c) 6

d) 4

**Answer/Explanation**

Answer: (d)

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

8^{2} = 64

Hence, at the unit place of 5278^{2} the number is 4.

**5. What will be the number of zeros in square of 400?**

a) 2

b) 3

c) 4

d) 6

**Answer/Explanation**

Answer: (c)

Explanation: 400^{2} = 400 x 400 = 160000

**6. How many natural numbers lie between 9 ^{2} and 10^{2}?**

a) 17

b) 18

c) 19

d) 20

**Answer/Explanation**

Answer: (b)

Explanation: The number of natural numbers between n^{2} 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

**Answer/Explanation**

Answer: (a)

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

Here, n = 4

So, n^{2} = 4^{2} = 16

**8. The value of 9 ^{2} – 1 is equal to:**

a) 81

b) 80

c) 79

d) None of the above

**Answer/Explanation**

Answer: (b)

Explanation: 9^{2}-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

**Answer/Explanation**

Answer: (c)

Explanation: Sum of n odd numbers = n^{2}

10^{2} = 100

**10. The square of 42 is:**

a) 1764

b) 1664

c) 1564

d) 1504

**Answer/Explanation**

Answer: (a)

Explanation: 42^{2} = (40 + 2)^{2} = 40(40 + 2) + 2(40 + 2)

= 40^{2} + 40 x 2 + 2 x 40 + 2^{2}

= 1600 + 80 + 80 + 4

= 1764

**11.Which of the following is not a square number?**

(a) 4

(b) 9

(c) 16

(d) 24

**Answer**

Answer: (d)

**12. The square of 23 is :**

(a) 529

(b) 526

(c) 46

(d) 429

**Answer**

Answer: (a)

**13. The square of which of the following would be even number?**

(a) 2826

(b) 7779

(c) 1057

(d) 131

**Answer**

Answer: (a)

**14. The square of which of the following would be odd number?**

(a) 431

(b) 272

(c) 1234

(d) 7928

**Answer**

Answer: (a)

**15. Which of the following is a perfect square ?**

(a) 45

(b) 81

(c) 18

(d) 54

**Answer**

Answer: (b)

**16. What will be the “ one’s digit” in the square of 1234?**

(a) 6

(b) 2

(c) 8

(d) 9

**Answer**

Answer: (a)

**17. What will be the number of zeros in the square of 400?**

(a) 5

(b) 1

(c) 3

(d) 4

**Answer**

Answer: (d)

**18. The perfect square number between 30 and 40 is :**

(a) 35

(b) 39

(c) 36

(d) 32

**Answer**

Answer: (c)

**19. Which of the following number would have digit 6 at units place?**

(a) 192

(b) 242

(c) 252

(d) 132

**Answer**

Answer: (b)

**20. Which of the following number would have digit 5 at units place :**

(a) 952

(b) 592

(c) 242

(d) 422

**Answer**

Answer: (a)

**21. Which of the following number would have digit 1 at units place?**

(a) 812

(b) 182

(c) 542

(d) 952

**Answer**

Answer: (a)

**22. How many natural numbers lie between 9² and 10²?**

(a) 15

(b) 19

(c) 18

(d) 17

**Answer**

Answer: (c)

**23. How many non square numbers lie between 11² and 12²?**

(a) 21

(b) 23

(c) 22

(d) 20

**Answer**

Answer: (c)

**24. 25 can be express as the sum of first _________consecutive odd numbers.**

(a)

(b) 4

(c) 6

(d) 3

**Answer**

Answer: (a)

**25. How many numbers lie between square of 12 and 13?**

(a) 21

(b) 23

(c)22

(d)24

**Answer**

Answer: (d)

**26. What will be the value of „ x‟ in Pythagorean triplet (6,8, x)?**

(a) 5

(b) 7

(c)10

(d) 11

**Answer**

Answer: (c)

**27. The square of -9 is**

(a) -81

(b) 81

(c) 18

(d) -18

**Answer**

Answer: (b)

**28. The square root of 6400 is**

(a) 80

(b) 81

(c) 32

(d) 23

**Answer**

Answer: (a)

**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

**Answer**

Answer: (a)

**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

**Answer**

Answer: (b)

**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

**Answer**

Answer: (c)

**32. What could be the possible “one’s digit” of the square root of 625?**

(a) 5

(b) 0

(c) 4

(d) 8

**Answer**

Answer: (a)

**33. Which is the smallest three-digit perfect square?**

(a) 100

(b) 101

(c) 121

(d) 144

**Answer**

Answer: (a)

**34. Which is the greatest three-digit perfect square?**

(a) 999

(b) 961

(c) 962

(d) 970

**Answer**

Answer: (b)

**35. Which is the greatest 4-digit perfect square?**

(a) 9999

(b) 9990

(c) 9800

(d) 9801

**Answer**

Answer: (a)

**36. Which is the smallest 4-digit perfect square?**

(a) 1024

(b) 1025

(c) 1000

(d) 1016

**Answer**

Answer: (d)

**37. What will be the number of digits in the square root of 25600?**

(a) 3

(b) 2

(c) 5

(d) 4

**Answer**

Answer: (a)

**38. What will be the number of digits in the square root of 1296?**

(a) 2

(b) 3

(c) 1

(d) 4

**Answer**

Answer: (a)

**39. The square root of 12.25 is _______________ .**

(a) 3.5

(b) 2.5

(c) 35

(d) 25

**Answer**

Answer: (a)

**40. What is the length of the side of a square whose area is 441 cm²?**

(a) 21

(b) 22

(c) 20

(d) 12

**Answer**

Answer: (a)

**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

**Answer**

Answer: (a)

**42. Which least number should be subtracted from 629 so as to get a perfect square?**

(a) 4

(b) 5

(c) 6

(d) 3

**Answer**

Answer: (a)

**43. The square root of 1.21 is**

(a) 1.1

(b) 11

(c) 21

(d) 2.1

**Answer**

Answer: (a)

**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

**Answer**

Answer: (a)

**45. The square of 1.2 is**

(a) 144

(b) 1.44

(c) 14.4

(d) 2.4

**Answer**

Answer: (b)

**46. The square root of 169 is**

(a) -13

(b) 1.3

(c) -1.3

(d) \(\frac{13}{10}\)

**Answer**

Answer: (a)

**47. What is the length of the diagonal of a rectangle having dimensions 3cm and 4cm?**

(a) 5

(b) 7

(c) 1

(d) 4

**Answer**

Answer: (a)

**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

**Answer**

Answer: (c)

**49. Which of the following is not a perfect square?**

(a) 81

(b) 18

(c) 100

(d) 121

**Answer**

Answer: (b)

**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

**Answer**

Answer: (a)

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