Check the below NCERT MCQ Questions for Class 8 Maths Chapter 6 Squares and Square Roots with Answers Pdf free download. MCQ Questions for Class 8 Maths with Answers were prepared based on the latest exam pattern. We have provided Squares and Square Roots Class 8 Maths MCQs Questions with Answers to help students understand the concept very well.

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

Question 1.

The perfect square number out of 2, 3, 4 and 5 is

(a) 2

(b) 3

(c) 4

(d) 5.

## Answer

Answer: (c)

Hint:

4 = 2 × 2 = 22.

Question 2.

A perfect square number between 30 and 40 is

(a) 36

(b) 32

(c) 33

(d) 39.

## Answer

Answer: (a)

Hint:

36 = 6 × 6 = 62.

Question 3.

Between 50 and 60, the perfect square number is

(a) 56

(b) 55

(c) 54

(d) none.

## Answer

Answer: (b)

Hint:

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

Question 4.

Which of the following is a perfect square number ?

(a) 1067

(b) 7828

(c) 4333

(d) 625.

## Answer

Answer: (d)

Hint:

Perfect square numbers end with

0, 1, 4, 5, 6 or 9 at unit’s place.

Question 5.

Which of the following is a perfect square number ?

(a) 2222

(b) 32543

(c) 888

(d) 10000.

## Answer

Answer: (d)

Hint:

Perfect square numbers end with

0, 1, 4, 5, 6 or 9 at unit’s place.

Question 6.

Which of 1322, 872, 722 and 2092 would end with digit 1 ?

(a) 1322

(b) 872

(c) 722

(d) 2092.

## Answer

Answer: (d)

Hint:

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

Question 7.

Which of 1052, 2162, 3332 and 1112 would end with digit 1 ?

(a) 1052

(b) 2162

(c) 3332

(d) 1112.

## Answer

Answer: (d)

Hint:

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

Question 8.

Which of 172, 342, 252 and 492 would have 6 at unit place ?

(a) 172

(b) 342

(c) 252

(d) 492.

## Answer

Answer: (b)

Hint:

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

Question 9.

Which of 212, 332, 472 and 362 would have 6 at unit place ?

(a) 212

(b) 332

(c) 472

(d) 362.

## Answer

Answer: (d)

Hint:

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

Question 10.

What will be the number of zeros in the square of the number 100 ?

(a) 2

(b) 4

(c) 6

(d) 8.

## Answer

Answer: (b)

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.

Question 11.

What will be the number of zeros in the square of the number 50 ?

(a) 1

(b) 2

(c) 3

(d) 4.

## Answer

Answer: (b)

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.

Question 12.

What will be the number of zeros in the square of the number 9000 ?

(a) 2

(b) 3

(c) 4

(d) 6.

## Answer

Answer: (d)

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.

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.

## Answer

Answer: (d)

Hint:

∵ 112 is even

∴ Its square will be even

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.

## Answer

Answer: (d)

Hint:

∵ 99 is odd

∴ Its square will be odd.

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

## Answer

Answer: (d)

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.

## Answer

Answer: (d)

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.

## Answer

Answer: (a)

Hint:

2 × 8 = 16

Question 18.

How many natural numbers lie between 12² and 13² ?

(a) 20

(b) 22

(c) 24

(d) 26.

## Answer

Answer: (c)

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.

## Answer

Answer: (b)

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.

## Answer

Answer: (d)

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.

## Answer

Answer: (a)

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.

## Answer

Answer: (a)

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.

## Answer

Answer: (a)

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.

## Answer

Answer: (b)

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.

## Answer

Answer: (d)

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.

## Answer

Answer: (b)

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.

## Answer

Answer: (a)

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.

## Answer

Answer: (c)

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.

## Answer

Answer: (b)

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.

## Answer

Answer: (c)

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.

## Answer

Answer: (c)

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.

## Answer

Answer: (d)

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.

## Answer

Answer: (d)

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.

## Answer

Answer: (a)

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.

## Answer

Answer: (d)

Hint:

2² + 3² ≠ 4².

Question 36.

If 102 = 100, then the square root of 100 is

(a) 1

(b) 10

(c) 100

(d) 1000.

## Answer

Answer: (b)

Hint:

\(\sqrt{100}\) = 10

Question 37.

If 252 = 625, then the square root of 625 is

(a) 5

(b) 25

(c) 125

(d) 625.

## Answer

Answer: (b)

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.

## Answer

Answer: (d)

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.

## Answer

Answer: (a)

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.

## Answer

Answer: (a)

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.

## Answer

Answer: (a)

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.

## Answer

Answer: (a)

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.

## Answer

Answer: (a)

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.

## Answer

Answer: (b)

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.

## Answer

Answer: (c)

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.

## Answer

Answer: (d)

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.

## Answer

Answer: (d)

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.

## Answer

Answer: (b)

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.

## Answer

Answer: (a)

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.

## Answer

Answer: (b)

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.

## Answer

Answer: (b)

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.

## Answer

Answer: (d)

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.

## Answer

Answer: (d)

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.

## Answer

Answer: (b)

Hint:

1000 ÷ 10 = 100 = 10².

Question 55.

The smallest 3-digit perfect square is

(a) 999

(6) 100

(c) 961

(d) 125.

## Answer

Answer: (b)

Hint:

100 = 10².

Question 56.

The number of digits in the square root of 62500 is

(a) 1

(6)2

(c) 3

(d) 4.

## Answer

Answer: (c)

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.

## Answer

Answer: (b)

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.

## Answer

Answer: (b)

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.

## Answer

Answer: (b)

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.

## Answer

Answer: (b)

Hint:

\(\sqrt{10000}\) = 100.

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