**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) 18 ^{2} **

**(b) 9 ^{2} **

**(c) 3 ^{2} **

**(d) 15 ^{2} **

**Ans: **

(a) 18^{2} = 324

(b) 9^{2} = 81

(c) 3^{2} = 9

(d) 15^{2} = 225

(a) 18^{2} = 324 has 4 at unit place.

**Question 4: **

**Observe the following pattern and find the missing digit **

**1 ^{2} = 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 =?) **

**4 ^{2} + 5^{2} + x^{2} = 21^{2} **

**(a) 22 **

**(b) 21 **

**(c) 20 **

**(d) 15 **

**Ans: **

4^{2} + 5^{2} + x^{2} = 21^{2}

16 + 25 + x^{2} = 441

x^{2} = 441 – 41

x^{2} = 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)

= 30^{2} + 2 × 30 × 7 + 7^{2}

= 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, m^{2} – 1, m^{2} + 1, m^{2} – 1 = 6, m^{2} = 6 + 1 = 7

And m^{2} + 1 = 6, m^{2} = 5 will not given integer value for m. So let us take,

2m = 6, m = 3, m^{2} – 1 = 9 – 1 = 8

m^{2} + 1 = 9 + 1 = 10, the required triplet is 6, 8, 10 (d)

**In case you have missed:- Previous Chapter MCQ Questions**

**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

= 3^{6} = 3^{2} × 3^{2} × 3^{2}

(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 m ^{2}. Find the side of square plot. **

**(a) 49 **

**(b) 48 **

**(c) 59 **

**(d) 39 **

**Ans: **

Area of square plot = 2401 m^{2}

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: **

**In case you have missed:- Next Chapter MCQ Questions**