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## Squares and Square Roots Class 8 MCQs Questions with Answers

Square And Square Roots Class 8 MCQ Question 1.
The perfect square number out of 2, 3, 4 and 5 is
(a) 2
(b) 3
(c) 4
(d) 5.

Hint:
4 = 2 × 2 = 22.

Class 8 Maths Chapter 6 MCQ Question 2.
A perfect square number between 30 and 40 is
(a) 36
(b) 32
(c) 33
(d) 39.

Hint:
36 = 6 × 6 = 62.

Class 8 Maths Ch 6 MCQ Question 3.
Between 50 and 60, the perfect square number is
(a) 56
(b) 55
(c) 54
(d) none.

Hint:
None of 51, 52, …… , 59 is a perfect square.

MCQ Of Square And Square Roots Class 8 Question 4.
Which of the following is a perfect square number ?
(a) 1067
(b) 7828
(c) 4333
(d) 625.

Hint:
Perfect square numbers end with
0, 1, 4, 5, 6 or 9 at unit’s place.

MCQ Questions For Class 8 Maths Chapter 6 Question 5.
Which of the following is a perfect square number ?
(a) 2222
(b) 32543
(c) 888
(d) 10000.

Hint:
Perfect square numbers end with
0, 1, 4, 5, 6 or 9 at unit’s place.

Square And Square Roots MCQ Class 8 Question 6.
Which of 1322, 872, 722 and 2092 would end with digit 1 ?
(a) 1322
(b) 872
(c) 722
(d) 2092.

Hint:
If a number has 1 or 9 in the unit’s place, then its square ends in 1.

Squares And Square Roots Class 8 MCQ Question 7.
Which of 1052, 2162, 3332 and 1112 would end with digit 1 ?
(a) 1052
(b) 2162
(c) 3332
(d) 1112.

Hint:
If a number has 1 or 9 in the unit’s place, then its square ends in 1.

Ncert Class 8 Maths Chapter 6 MCQ Questions Question 8.
Which of 172, 342, 252 and 492 would have 6 at unit place ?
(a) 172
(b) 342
(c) 252
(d) 492.

Hint:
If a number has 4 or 6 in the unit’s place, then its square ends in 6.

Class 8 Math Chapter 6 MCQ Question 9.
Which of 212, 332, 472 and 362 would have 6 at unit place ?
(a) 212
(b) 332
(c) 472
(d) 362.

Hint:
If a number has 4 or 6 in the unit’s place, then its square ends in 6.

Class 8 Square And Square Roots MCQ Question 10.
What will be the number of zeros in the square of the number 100 ?
(a) 2
(b) 4
(c) 6
(d) 8.

Hint:
Number of zeros at the end of the number 100 = 2
∴ Number of zeros at the end of the square of the number 100 = 2 × 2 = 4.

MCQ On Square And Square Roots For Class 8 Question 11.
What will be the number of zeros in the square of the number 50 ?
(a) 1
(b) 2
(c) 3
(d) 4.

Hint:
Number of zeros at the end of the number 50 = 1
∴ Number of zeros at the end of the square of the number 50 = 2 × 1 = 2.

MCQ Class 8 Maths Chapter 6 Question 12.
What will be the number of zeros in the square of the number 9000 ?
(a) 2
(b) 3
(c) 4
(d) 6.

Hint:
Number of zeros at the end of the number 9000 = 3
∴ Number of zeros at the end of the square of the number 9000 = 2 × 3 = 6.

Square And Square Roots MCQ Question 13.
The square of which of the following numbers will be even ?
11, 111, 1111, 112
(a) 11
(b) 111
(c) 1111
(d) 112.

Hint:
∵ 112 is even
∴ Its square will be even

Maths Class 8 Chapter 6 MCQ Question 14.
The square of which of the following numbers will be odd ?
10, 100, 1000, 99
(a) 10
(b) 100
(c) 1000
(d) 99.

Hint:
∵ 99 is odd
∴ Its square will be odd.

MCQ Of Chapter 6 Maths Class 8 Question 15.
The square of which of the following numbers will be even ?
21, 27, 35, 50
(a) 21
(b) 27
(c) 35
(d) 50

Hint:
∵ 50 is even.
∴ Its square will be even.

Question 16.
The square of which of the following numbers will be odd ?
(a) 42
(b) 54
(c) 66
(d) 81.

Hint:
∵ 81 is odd
∴ Its square will be odd.

Question 17.
How many natural numbers he between 8² and 9² ?
(a) 16
(b) 17
(c) 18
(d) 19.

Hint:
2 × 8 = 16

Question 18.
How many natural numbers lie between 12² and 13² ?
(a) 20
(b) 22
(c) 24
(d) 26.

Hint:
2 × 12 = 24.

Question 19.
How many nonsquare numbers lie between the pair of numbers 80² and 81² ?
(a) 162
(b) 160
(c) 161
(d) 164.

Hint:
2 × 80 = 160.

Question 20.
How many nonsquare numbers he between the pair of numbers 36² and 37² ?
(c) 36
(b) 37
(c) 74
(d) 72.

Hint:
2 × 36 = 72.

Question 21.
How many nonsquare numbers he between the pair of numbers 500² and 501² ?
(a) 1000
(b) 999
(c) 1001
(d) 1002.

Hint:
2 × 500 = 1000.

Question 22.
Express the square number 5² as the sum of two consecutive integers.
(a) 12 + 13
(b) 10 + 15
(c) 9 + 16
(d) 20 + 5.

Hint:
$$\frac{5^2-1}{2}$$ = 12, $$\frac{5^2+1}{2}$$ = 13

Question 23.
Express 9² as the sum of two consecutive integers.
(a) 40 + 41
(b) 50 + 31
(c) 36 + 45
(d) 72 + 9.

Hint:
$$\frac{9^2-1}{2}$$ = 40, $$\frac{5^2+1}{2}$$ = 41

Question 24.
Express 7² as the sum of two consecutive integers.
(a) 40 + 9
(b) 24 + 25
(c) 36 + 13
(d) 32 + 17.

Hint:
$$\frac{7^2-1}{2}$$ = 24, $$\frac{5^2+1}{2}$$ = 25

Question 25.
The unit digit number 132 is in the square of the
(a) 1
(b) 2
(c) 3
(d) 4.

Hint:
2 × 2 = 4.

Question 26.
The unit digit in the square of the number 1000 is
(a) 1
(b) 0
(c) 2
(d) none of these.

Hint:
0 × 0 = 0.

Question 27.
The unit digit in the square of the number 1111 is
(a) 1
(b) 2
(c) 3
(d) 4.

Hint:
1 × 1 = 1.

Question 28.
The unit digit in the square of the number 1333 is
(a) 3
(b) 6
(c) 9
(d) 1.

Hint:
3 × 3 = 9.

Question 29.
The unit digit in the square of the number 2644 is
(a) 4
(b) 6
(c) 8
(d) 2.

Hint:
4 × 4 = 16.

Question 30.
The unit digit in the square of the number 125 is
(a) 1
(b) 2
(c) 5
(d) 6.

Hint:
5 × 5 = 25.

Question 31.
The unit digit in the square of the number 166 is
(a) 2
(b) 4
(c) 6
(d) 8.

Hint:
6 × 6 = 36.

Question 32.
The unit digit in the square of the number 27 is
(a) 7
(b) 2
(c) 5
(d) 9.

Hint:
7 × 7 = 49.

Question 33.
The unit digit in the square of the number 78 is
(a) 1
(b) 2
(c) 3
(d) 4.

Hint:
8 × 8 = 64.

Question 34.
The unit digit in the square of the number 209 is
(a) 1
(b) 2
(c) 0
(d) 9.

Hint:
9 × 9 = 81

Question 35.
Which of the following is not a Pythagorean triplet ?
(a) 3, 4, 5
(b) 6, 8, 10
(c) 5, 12, 13
(d) 2, 3, 4.

Hint:
2² + 3² ≠ 4².

Question 36.
If 102 = 100, then the square root of 100 is
(a) 1
(b) 10
(c) 100
(d) 1000.

Hint:
$$\sqrt{100}$$ = 10

Question 37.
If 252 = 625, then the square root of 625 is
(a) 5
(b) 25
(c) 125
(d) 625.

Hint:
$$\sqrt{625}$$ = 25

Question 38.
What could be the possible one’s digit of the square root of 625 ?
(a) 2
(b) 3
(c) 4
(d) 5.

Hint:
5 × 5 = 25.

Question 39.
What could be the possible one’s digit of the square root of 121 ?
(a) 1, 9
(b) 3, 4
(c) 6, 7
(d) 7, 8.

Hint:
1 × 1 = 1
9 × 9 = 81.

Question 40.
What could be the possible one’s digit of the square root of 361 ?
(c) 1, 9
(b) 3, 4
(c) 6, 7
(d) 7, 8.

Hint:
1 × 1 = 1
9 × 9 = 81.

Question 41.
What could be the possible one’s digit of the square root of 576 ?
(o) 4, 6
(b) 5, 7
(c) 1, 8
(d) 2, 9.

Hint:
4 × 4 = 16
6 × 6 = 36.

Question 42.
What could be the possible one’s digit of the square root of 676 ?
(a) 4, 6
(b) 5, 7
(c) 1, 8
(d) 2, 9.

Hint:
4 × 4 = 16
6 × 6 = 36.

Question 43.
The smallest number by which 32 should be multiplied so as to get a perfect square is
(a) 2
(b) 3
(c) 4
(d) 8.

Hint:
32 × 2 = 64 = 8².

Question 44.
The smallest number by which 48 should be multiplied so as to get a perfect square is
(a) 2
(b) 3
(c) 4
(d) 5.

Hint:
48 × 3 = 144 = 12².

Question 45.
The smallest number by which 45 should be multiplied so as to get a perfect square is
(a) 2
(b) 3
(c) 5
(d) 7.

Hint:
45 × 5 = 225 = 15².

Question 46.
The smallest number by which 54 should be multiplied so as to get a perfect square is
(a) 2
(b) 3
(c) 4
(d) 6.

Hint:
54 × 6 = 324 = 18².

Question 47.
The smallest number by which 28 should be multiplied so as to get a perfect square is
(a) 2
(b) 4
(c) 3
(d) 7.

Hint:
28 × 7 = 196 = 14².

Question 48.
The smallest number by which 1000 should be multiplied so as to get a perfect square is
(a) 5
(b) 10
(c) 4
(d) 8.

Hint:
1000 × 10 = 10000 = 100².

Question 49.
The smallest number by which 128 should be divided so as to get a perfect square is
(a) 2
(b) 3
(c) 4
(d) 8.

Hint:
128 ÷ 2 = 64 = 8².

Question 50.
The smallest number by which 48 should be divided so as to get a perfect square is
(a) 2
(b) 3
(c) 4
(d) 6.

Hint:
48 ÷ 3 = 16 = 4².

Question 51.
The smallest number by which 125 should be divided so as to get a perfect square is
(a) 3
(b) 5
(c) 25
(d) 125.

Hint:
125 ÷ 5 = 25 = 5².

Question 52.
The smallest number by which 150 should be divided so as to get a perfect square is
(a) 4
(b) 2
(c) 5
(d) 6.

Hint:
150 ÷ 6 = 25 = 5².

Question 53.
The smallest number by which 112 should be divided so as to get a perfect square is
(a)6
(6) 4
(c) 3
(d) 7.

Hint:
112 ÷ 7 = 16 = 4².

Question 54.
The smallest number by which 1000 should be divided so as to get a perfect square is
(a) 5
(6) 10
(c) 100
(d) 1000.

Hint:
1000 ÷ 10 = 100 = 10².

Question 55.
The smallest 3-digit perfect square is
(a) 999
(6) 100
(c) 961
(d) 125.

Hint:
100 = 10².

Question 56.
The number of digits in the square root of 62500 is
(a) 1
(6)2
(c) 3
(d) 4.

Hint:
n = 5, $$\frac{n+1}{2}$$ = 3.

Question 57.
The number of digits in the square root of 441 is
(a) 1
(6)2
(c) 3
(d) 4.

Hint:
n = 3, $$\frac{n+1}{2}$$ = 2.

Question 58.
The number of digits in the square root of 100 is
(a) 1
(6)2
(c) 3
(d) 4.

Hint:
n = 3, $$\frac{n}{2}$$ = 2.

Question 59.
Find the length of the side of a square whose area is 100 cm².
(a) 5 cm
(6) 10 cm
(c) 100 cm
(d) 4 cm.

Hint:
$$\sqrt{100}$$ = 10 cm.

Question 60.
The students of class VIII of a school donated Rs 10000 in all, for Prime Minister’s National Relief Fund. Each student donated as many rupees as the number of students in the class. The number of students in the class is
(a) 10
(6) 100
(c) 1000
(d) 10000.

$$\sqrt{10000}$$ = 100.