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

 

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

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 Board                    CBSE

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TextBook                NCERT

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CLASS                    Class 8

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SUBJECT                 Maths

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CHAPTER               Chapter 6

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SUBJECT           Square and Square Roots                      

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Topic       Multiple Choice Questions

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                 2. MCQ Class 8 Maths

 

 

Question 1. Among 7,8,9,10; which is a perfect square?
(i) 7
(ii) 8
(iii) 9
(iv) 10

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Answer 1: (iii) 9
because 9 = 3×3 =3²
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Question 2. In between 60 to 70, which is a perfect square number?
(i) 62
(ii) 64
(iii) 66
(iv) 68

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Answer 2:(ii) 64
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Question 3. In between 80 to 90, which is a perfect square number?
(i) 81
(ii) 82
(iii) 83
(iv) 84

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Answer 3:(i) 81
Because 81 = 9×9 = 9²
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Question 4. Which is a perfect square number?
(i) 677
(ii) 728
(iii) 576
(iv) 842

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Answer 4: (iii) 576
Perfect square numbers end with 0, 1, 4, 5, 6 or 9 at the unit's place.
576 = 24 × 24 = 24²
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Question 5. Which of the following is a perfect square number?
(i) 2204
(ii) 2110
(iii) 2024
(iv) 1936

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Answer 5: (iv) 1936
Because 1936 = 2 ×2 × 2 × 2 × 11 × 11
= 2² × 2² × 11²
= 2×2×11
= 44
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Question 6. Observe carefully the numbers: 234², 456², 239², 555².
Whose square has 1 at its unit place?
(i) 234²
(ii) 456²
(iii) 239²
(iv) 555²

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Answer 6: (iii) 239²
Because the numbers having 1 and 9 at its unit place, square of these numbers have 1 at their unit place
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Question 7. Observe carefully the numbers: 278², 538², 121², 955².
Whose square has 1 at its unit place?,
(i) 278²
(ii) 538²
(iii) 121²
(iv) 955²

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Answer 7: (iii) 121²
Because the numbers having 1 and 9 at its unit place, square of these numbers have 1 at their unit place
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Question 8. Observe carefully the numbers: 278², 536², 121², 955².
Whose square has 6 at its unit place?,
(i) 278²
(ii) 536²
(iii) 121²
(iv) 955²

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Answer 8: (ii) 536²
Because the numbers having 4 and 6 at its unit place, square of these numbers have 6 at their unit place
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Question 9. Observe carefully the numbers: 274², 531², 232², 875².
Whose square has 6 at its unit place?,
(i) 274²
(ii) 531²
(iii) 232²
(iv) 875²

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Answer 9: (i) 274²
Because the numbers having 4 and 6 at its unit place, square of these numbers have 6 at their unit place
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Question 10. Square of 1000² has number of zeros =
(i) 3
(ii) 4
(iii) 5
(iv) 6

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Answer 10: (iv) 6
1000² = 1000000
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MCQ Questions for Class 8 Maths Chapter 6 Squares and Square Roots with Answers

Question 11. Number of zeros of square of 250 is
(i) 1
(ii) 2
(iii) 3
(iv) 4

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Answer 11: (ii) 2
because 250² = 62500
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Question 12. Number of zeros of the square of (000) ² is
(i) 3
(ii) 6
(iii) 1
(iv) 2

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Answer 12: (iv) 2
because (000) ² = 0
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Question 13. Observe the numbers carefully: 11², 131², 132², 91²
Which one gives an even number?
(i) 11²
(ii) 131²
(iii) 132²
(iv) 91²

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Answer 13: (iii) 132²
because squares of even numbers are even.
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Question 14. Observe the numbers carefully: 12², 131², 132², 94²
Which one gives an odd number?
(i) 12²
(ii) 131²
(iii) 132²
(iv) 94²

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Answer 14: (ii) 131²
because square of odd numbers are odd
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Question 15. Whose square give even number: 34,35,37,31
(i) 34
(ii) 35
(iii) 37
(iv) 31

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Answer 15: (i) 34
because squares of even numbers are even.
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Question 16. Whose square give odd number: 42, 44, 45, 46
(i) 42
(ii) 44
(iii) 45
(iv) 46

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Answer 16: (iii) 45
because square of odd numbers are odd
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Question 17. Write the numbers of whole numbers in between 11² and 12².
(i) 11
(ii) 12
(iii) 23
(iv) 22

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Answer 17: (iv) 22
because in between 11² and 12² there are 122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,152,143
that is 11×2=22
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Question 18. Write the numbers of whole numbers in between 7² and 8².
(i) 13
(ii) 14
(iii) 12
(iv) 15

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Answer 18: (ii) 14
because in between 7² and 8² there are 50,51,52,53,54,55,56,57,58,59,60,61,62,63
that is 7×2=14
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Question 19. Write the number of nonsquare numbers in between 24² and 25²
(i) 24
(ii) 48
(iii) 25
(iv) 50

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Answer 19: (ii) 48
because 24×2=48
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Question 20. Write the number of nonsquare numbers in between 42² and 43²
(i) 42
(ii) 43
(iii) 84
(iv) 100

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Answer 20: (iii) 84
because 42×2=84
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Question 21. Write the number of nonsquare numbers in between 125² and 126²
(i) 125
(ii) 126
(iii) 351
(iv) 250

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Answer 21: (iv) 250
because 125×2=250
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Question 22 Express 5² as sum of two squares
(i) 2²+3²
(ii) 3²+4²
(iii) 4²+1²
(iv) 1²+2²

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Answer 22: (ii) 3²+4²
because 5²=
3²+4²
=9+16
=25
=5²
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Question 23. Express 13² as sum of two squares
(i) 10²+11²
(ii) 11²+12²
(iii) 12²+5²
(iv) 10²+5²

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Answer 23: (iii) 12²+5²
because 13²
= 12²+5²
= 144+25
= 169
= 13²
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MCQ Questions for Class 8 Maths Chapter 6 Squares and Square Roots with Answers

Question 24. Express the square 9² as the sum of two consecutive natural numbers.
(i) 60+21
(ii) 40+41
(iii) 50+31
(iv) 80+1

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Answer 24: (ii) 40+41
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Question 25. If we square the number 1246 than the unit digit of the square number is
(i) 4
(ii) 5
(iii) 6
(iv) 7

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Answer 25: (iii) 6
because 6×6=36
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Question 26. If we square the number 125 than the unit digit of the square number is
(i) 5
(ii) 6
(iii) 7
(iv) 8

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Answer 26: (i) 5
because 5×5=25
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Question 27. If we square the number 1553 than the unit digit of the square number is
(i) 6
(ii) 7
(iii) 8
(iv) 9

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Answer 27: (iv) 9
because 3×3=9
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Question 28. If we square the number 169 than the unit digit of the square number is
(i) 1
(ii) 2
(iii) 3
(iv) 4

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Answer 28. (i) 1
because 9×9=81
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Question 29. If we square the number 444 than the unit digit of the square number is
(i) 2
(ii) 4
(iii) 6
(iv) 8

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Answer 29: (iii) 6
because 4×4=16
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Question 30. If we square the number 1862 than the unit digit of the square number is
(i) 1
(ii) 2
(iii) 3
(iv) 4

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Answer 30: (iv) 4
because 2×2=4
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Question 31. If we square the number 8567 than the unit digit of the square number is
(i) 7
(ii) 8
(iii) 9
(iv) 0

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Answer 31: (iii) 9
because 7×7=49
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Question 32. If we square the number 8000 than the unit digit of the square number is
(i) 0
(ii) 1
(iii) 2
(iv) 3

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Answer 32: (i) 0
because 0×0=0
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Question 33. Which is a Pythagorean triplet
(i) 1,2,3
(ii) 2,3,4
(iii) 3,4,5
(iv) 4,5,6

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Answer 33: (iii) (iii) 3,4,5
because 3²+4²=5²
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Question 34. If we square the number 98761 than the unit digit of the square number is
(i) 0
(ii) 1
(iii) 2
(iv) 3

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Answer 34: (ii) 1
because 1×1=1
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Question 35. 12²=144 then square root of 144 is
(i) 10
(ii) 11
(iii) 12
(iv) 13

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Answer 35: (iii) 12
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Question 36. 30³=900 than square root of 900 is
(i) 10
(ii) 20
(iii) 30
(iv) 40

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Answer 36: iii) 30
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Question 37. There is a number whose unit place digit is 6.Now we find it's square root. What will be the possible digit at the unit place of that square number?
(i) 1 or 2
(ii) 3 or 4
(iii) 4 or 6
(iv) 6 or 8

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Answer 37: (iii) 4 or 6
because 4×4=16 or 6×6=36
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Question 38. There is a number whose unit place digit is 1.Now we find it's square root. What will be the possible digit at the unit place of that square number?
(i) 1 or 9
(ii) 2 or 8
(iii) 3 or 7
(iv) 4 or 5

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Answer 38: (i) 1 or 9
Because 1×1=1 or 9×9=81
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Question 39. There is a number whose unit place digit is 4.Now we find it's square root. What will be the possible digit at the unit place of that square number?
(i) 1 or 9
(ii) 2 or 8
(iii) 3 or 7
(iv) 4 or 6

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Answer 39: (ii) 2 or 8
Because 2×2=4 or 8×8=64
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Question 40. There is a number whose unit place digit is 5.Now we find it's square root. What will be the possible digit at the unit place of that square number?
(i) 3
(ii) 4
(iii) 5
(iv) 6

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Answer 40: (iii) 5
Because 5×5=25
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MCQ Questions for Class 8 Maths Chapter 6 Squares and Square Roots with Answers

Question 41. There is a number whose unit place digit is 9.Now we find it's square root. What will be the possible digit at the unit place of that square number?
(i) 1 or 9
(ii) 2 or 8
(iii) 3 or 7
(iv) 4 or 6

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Answer 41: (iii) 3 or 7
Because 3×3=9 or 7×7=49
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Question 42. The smallest number by which 108 should be multiplied so as to get a perfect square is
(i) 1
(ii) 2
(iii) 3
(iv) 4

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Answer 42: (iii) 3
Because
108=2×2×3×3×3
=2²×3²×3
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Question 43. The smallest number by which 720 should be multiplied so as to get a perfect square is
(i) 4
(ii) 5
(iii) 6
(iv) 7

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Answer 43: (ii) 5
Because
720 =2×2×2×2×3×3×5
= 2²×2²×3²×5
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Question 44. The smallest number by which 164 should be multiplied so as to get a perfect square is
(i) 5
(ii) 6
(iii) 7
(iv) 8

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Answer 44: (iii) 7
Because
164= 2×2×3×3×7
=2²×3²×7
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Question 45. The smallest number by which 164 should be multiplied so as to get a perfect square is
(i) 1
(ii) 2
(iii) 3
(iv) 4

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Answer 45: (ii) 2
Because 200=2×2×2×5×5
=2²×5²×2
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Question 46. The smallest number by which 125 should be multiplied so as to get a perfect square is
(i) 3
(ii) 4
(iii) 5
(iv) 6

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Answer 46: (iii) 5
Because
125= 5×5×5
= 5²×5
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Question 47. The smallest number by which 216 should be multiplied so as to get a perfect square is
(i) 5
(ii) 6
(iii) 7
(iv) 8

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Answer 47: (ii) 6
Because
216=2×2×2×3×3×3
=2²×3²×2×3
=2²×3²×6
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Question 48. The smallest number by which 360 should be multiplied so as to get a perfect square is
(i) 6
(ii) 8
(iii) 10
(iv) 4

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Answer 48: (iii) 10
Because 360=2×2×2×3×3×5
=2²×3²×2×5
=2²×3²×10
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Question 49. The smallest number by which 84 should be multiplied so as to get a perfect square is
(i) 10
(ii) 20
(iii) 25
(iv) 21

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Answer 49: (iv) 21

Because
84=2×2×3×7
=2²×3×7
=2²×21
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Question 50. The smallest number by which 512 should be multiplied so as to get a perfect square is
(i) 1
(ii) 2
(iii) 3
(iv) 4

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Answer 50: (ii) 2
Because
512=2×2×2×2×2×2×2×2×2
=2²×2²×2²×2²×2
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Question 51. Write the smallest 5-digit number which is a perfect square
(i) 10010
(ii) 10000
(iii) 55555
(iv) 19999

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Answer 51: (ii) 10000
Because
10000=10×10×10×10
=10²×10²
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Question 52. The number of digits in the square root of 15876 is
(i) 1
(ii) 2
(iii) 3
(iv) 4

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Answer 52: (iii) 3
Because
if number of digit in a given number (n) = 5
then number of digit in its square root=(n+1) /2
=(5+1) /2
=3 [This rule only valid for odd perfect square]
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Question 53. The number of digits in the square root of 1236544 is
(i) 2
(ii) 3
(iii) 4
(iv) 5

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Answer 53: (iii) 4
Because
if number of digit in a given number (n) = 7
then number of digit in its square root=(n+1) /2
=(7+1) /2
=4 [This rule only valid for odd perfect square]
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Question 54. The number of digits in the square root of 529 is
(i) 2
(ii) 3
(iii) 4
(iv) 1

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Answer 54: (i) 2
Because
if number of digit in a given number (n) = 3
then number of digit in its square root=(n+1) /2
=(3+1) /2
=2 [This rule only valid for odd perfect square]
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Question 55. Area of a square Garden is 676 square metre. Find it's side.
(i) 24 metre
(ii) 25 metre
(iii) 26 metre
(iv) 27 metre

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Answer 55: (iii) 26 metre
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MCQ Questions for Class 8 Maths Chapter 6 Squares and Square Roots with Answers