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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, 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
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) 192
b) 112
c) 242
d) 132
Answer/Explanation
Answer: (c)
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
Answer/Explanation
Answer: (d)
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
Answer/Explanation
Answer: (c)
Explanation: 4002 = 400 x 400 = 160000
6. How many natural numbers lie between 92 and 102?
a) 17
b) 18
c) 19
d) 20
Answer/Explanation
Answer: (b)
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
Answer/Explanation
Answer: (a)
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
Answer/Explanation
Answer: (b)
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
Answer/Explanation
Answer: (c)
Explanation: Sum of n odd numbers = n2
102 = 100
10. The square of 42 is:
a) 1764
b) 1664
c) 1564
d) 1504
Answer/Explanation
Answer: (a)
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
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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