# Class 8 Maths Chapter 6 Squares and Square Roots MCQs

**MCQs for Class 8 Maths Chapter 6 Squares and Square Roots (Questions and Answers)** are provided with answers, online. These objective questions are designed by our subject experts according to **CBSE syllabus (2021-2022)** and **NCERT guidelines**. The MCQs are prepared as per the latest exam pattern. The chapter-wise MCQs are given at BYJU’S to make every student understand each concept and guide them to score better marks in exams. Also, learn important questions for class 8 Maths here.

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## MCQs Questions on Class 8 Chapter 6 Squares and Square Roots

Multiple Choice Questions (MCQs) are given for the Class 8 Chapter 6 Squares and Square Roots chapter. Each problem carries four options, in which one is the correct answer. Students have to find a solution for each problem and choose the correct answer.

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

A. 1057

B. 625

C. 7928

D. 64000

Answer: **B**

Explanation: The natural numbers which end with 2, 3, 7 and 8 are not perfect squares. Hence, 625 is a perfect square.

25 x 25 = 625

**2. Which of the following will have 6 at unit place?**

A. 19^{2}

B. 11^{2}

C. 24^{2}

D. 13^{2}

Answer: **C**

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

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

A. 8

B. 7

C. 6

D. 4

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.

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

A. 2

B. 3

C. 4

D. 6

Answer:** C**

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

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

A. 17

B. 18

C. 19

D. 20

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

**6. What is the sum of the first four odd natural numbers?**

A. 16

B. 17

C. 18

D. 20

Answer: **A**

Explanation: The sum of the first odd natural numbers = 1+3+5+7 = 16

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

A. 81

B. 80

C. 79

D. None of the above

Answer: **B**

Explanation: 9^{2}-1 = 81 – 1 = 80

**8. The sum of 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 +19 is:**

A. 121

B. 120

C. 100

D. 110

Answer: **C**

Explanation: Sum of n odd numbers = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 +19 =100

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

A. 1764

B. 1664

C. 1564

D. 1504

Answer:** A**

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

= (40+2) (40+2)

= 40(40 + 2) + 2(40 + 2)

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

= 1600 + 80 + 80 + 4

= 1764

**10. 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: **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

**11. Which of the following is a perfect square? 32, 66, 81, 101.**

A. 32

B. 66

C. 81

D. 101

Answer: C.81

Explanation: 81 = 9 x 9 = 9^{2}

**12. A perfect square that lies between 40 and 50 is:**

A. 42

B. 45

C. 46

D. 49

Answer: D. 49

Explanation: 49 is a perfect square.

49 = 7 x 7 = 7^{2}

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

A. 4

B. 9

C. 24

D. 100

Answer: C. 24

Explanation: 24 is not a square number. It cannot be written as n2, where n is any natural number.

**14. Find the greatest four-digit number that is a perfect square.**

A. 9990

B. 9801

C. 9999

D. None of these

Answer: B. 9801

Explanation: 9801 is a perfect square.

9801 = 99 x 99 = 99^{2}

**15. The square of which of these will have 6 at the unit place?**

A. 17^{2}

B. 16^{2}

C. 15^{2}

D. 19^{2}

Answer: B.16^{2}

Explanation: The square of 16,

16^{2} = 16 x 16 = 256

Hence, the unit place of the number has 6.

**16. The square of which of the following number will be an even number?**

A. 31

B. 69

C. 67

D. 38

Answer: D. 38

Explanation: If the square of unit place digit is an even number, then the square of the number will also be an even number.

Square of 8 = 8^{2} = 64

Since 4 is an even number, thus, square of 38 is also an even number.

**17. How many zeros are there for the square of 200?**

A. 2

B. 3

C. 4

D. 6

Answer: C. 4

Explanation: Square of 200 is:

200^{2} = 200 x 200 = 2 x 100 x 2 x 100 = 4 x 10000 = 40000

Hence, there are four zeros.

**18. What will be the unit digit of square of 35789?**

A. 1

B. 9

C. 3

D. 8

Answer: A. 1

Explanation: The square of 35789 will be having 1 at its unit place

Square of unit place digit of 35789 => 9 x 9 = 81

Since the square of the unit place digit has 1 at its unit place, thus the number will also have the same digit.

**19. 49 can be expressed as the sum of how many same odd numbers?**

A. 5

B. 7

C. 9

D. 11

Answer: B. 7

Explanation: 7 + 7 + 7+7+7+7 +7 = 49

This proves 7 times of 7 is equal to 49

Or 7^{2} = 49

**20. What is the length of side of a square, if the area of square is 441 cm ^{2}?**

A. 21 cm

B. 29 cm

C. 31 cm

D. 39 cm

Answer: A. 21

Explanation: Area of a square = 441 cm^{2}

By the formula, we know that;

Area of a square = side^{2}

441 = side^{2}

Side = √441 = 21

Therefore, length of side of square is 21 cm.