# Squares and Square Roots MCQ Questions Class 8 Maths Chapter 6

Squares and Square Roots MCQ Questions Class 8 Maths Chapter 6

NCERT MCQ Questions for Class 8 Maths Chapter 6 Squares and Square Roots. Squares and Square Roots MCQ Questions with Answers from Class 8 Mathematics.

## Squares and Square Roots MCQ Questions Class 8 Maths Chapter 6

Squares and Square Roots Multiple Choice Questions with Answers Class 8 Maths Chapter 6 PDF is available.

Question 1:

Find square root of 144

(a) 14

(b) 12

(c) 11

(d) 16

Ans:

144 = 12×12

= 144

= √144

= 12 (b)

Question 2:

Which no is the perfect square?

(a) 201

(b) 196

(c) 199

(d) 281

Ans:

(b) 196, 14×14 = 196

196 is the perfect square.

Question 3:

Which of the following digit have 4 at the unit place?

(a) 182

(b) 92

(c) 32

(d) 152

Ans:

(a) 182 = 324

(b) 92 = 81

(c) 32 = 9

(d) 152 = 225

(a) 182 = 324 has 4 at unit place.

Question 4:

Observe the following pattern and find the missing digit

12 = 1

(11)2 = 121

(101)2 =?

(a) 10301

(b) 12101

(c) 10201

(d) 12121

Ans:

(c) 10201

101×101 = 10201 by this tricks

101

+   101

_________

10201

Question 5:

Find the missing numbers (x =?)

42 + 52 + x2 = 212

(a) 22

(b) 21

(c) 20

(d) 15

Ans:

42 + 52 + x2 = 212

16 + 25 + x2 = 441

x2 = 441 – 41

x2 = 400,

x = 20 (c)

Question 6:

Find the square of the 37 without actual multiplication.

(a) 1369

(b) 1444

(c) 1521

(d) 1269

Ans:

(37)2

= (30 + 7)2

= 30 (30 + 7) + 7 (30 + 7)

= 302 + 2 × 30 × 7 + 72

= 900 + 420 + 49

(37)2 = 1369 (a)

Question 7:

Write a Pythagorean triple whose smallest number is 6.

(a) 2, 4, 8

(b) 2, 4, 6

(c) 8, 9, 10

(d) 6, 8, 10

Ans:

We can get Pythagorean triplet by

Using general formula 2m, m2 – 1, m2 + 1, m2 – 1 = 6, m2 = 6 + 1 = 7

And m2 + 1 = 6, m2 = 5 will not given integer value for m. So let us take,

2m = 6, m = 3, m2 – 1 = 9 – 1 = 8

m2 + 1 = 9 + 1 = 10, the required triplet is 6, 8, 10 (d)

Question 8:

Is, 92 a perfect square?

(a) Yes

(b) No

(c) May be

(d) May not be

Ans:

We have 92 = 2 × 2 × 23

As the prime factor 23, 92 is not perfect square (b) Not.

Question 9:

Find the square root of 729.

(a) 27

(b) 29

(c)  28

(d) 25

Ans:

729 = 3 × 3 × 3 × 3 × 3

= 36 = 32 × 32 × 32

(a) = (27)2

Question 10:

Find which are not the perfect square?

(a) 196

(b) 225

(c) 441

(d) 456

Ans:

(d) 456 = 2 × 228 = 2 × 2 × 114

= 2 × 2 × 2 × 57

= 2 × 2 × 2 × 19 × 3

19, 3, 2 is prime no. so that it is not a perfect square.

Question 11:

625 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the no. of rows and the number of plants in each row

(a) 23

(b) 24

(c) 25

(d) 15

Ans:

625 = 25 × 25

No. of plants in each row = 25 and no. of rows = 25 (d)

Question 12:

Find the smallest square number which is divisible by each of the numbers 2, 3, and 5

(a) 45

(b) 30

(c) 35

(d) 25

Ans:

2 × 3 × 5 = 30 (b) is the number which is divisible by 2, 3 and 5

Question 13:

Find the square root of 6.25

(a) 25

(b) 3.5

(c) 2.5

(d) 4.5

Ans:

Question 14:

Area of a square plot 2401 m2. Find the side of square plot.

(a) 49

(b) 48

(c) 59

(d) 39

Ans:

Area of square plot = 2401 m2

Side of the square plot = √2401 m

= 49

The side of the square plot 49 (a)

Question 15:

Find the square root of the 1396

(a) 39

(b) 37

(c) 27

(d) 29

Ans:

Updated: April 11, 2023 — 12:22 pm