## RS Aggarwal Class 8 solutions Chapter 3 Squares and Square Roots Ex 3H in pdf free download

Contents

**Question 1.**

**Which of the following numbers is not a perfect square ?**

**(a) 7056**

**(b) 3969**

**(c) 5478**

**(d) 4624**

**Solution:**

5478 as it has 8 at in the end (c)

**Question 2.**

**Which of the following numbers is not a perfect square ?**

**(a) 1444**

**(b) 3136**

**(c) 961**

**(d) 2222**

**Solution:**

2222 as it has 2 in the end (d)

**Question 3.**

**Which of the following numbers is not a perfect square ?**

**(a) 1843**

**(b) 3721**

**(c) 1024**

**(d) 1296**

**Solution:**

1843 as it has 3 in the end (a)

**Question 4.**

**Which of the following numbers is not a perfect square ?**

**(a) 1156**

**(b) 4787**

**(c) 2704**

**(d) 3969**

**Solution:**

4787 as it has 7 in the end (b)

**Question 5.**

**Which of the following numbers is not a perfect square ?**

**(a) 3600**

**(b) 6400**

**(c) 81000**

**(d) 2500**

**Solution:**

81000 as it has odd number of zeros at its end (c)

**Question 6.**

**Which of the following cannot be the unit digit of a perfect square number ?**

**(a) 6**

**(b) 1**

**(c) 9**

**(d) 8**

**Solution:**

8, as the number with 8 in the end cannot be a perfect square. (d)

**Question 7.**

**The square of a proper fraction is**

**(a) larger than the fraction**

**(b) smaller than the fraction**

**(c) equal to the fraction**

**(d) non of these**

**Solution:**

The square of a proper fraction is the smaller than the given fraction. (b)

**Question 8.**

If n is odd, then (1 + 3 + 5 + 7 + … to n terms) is equal to

(a) (n² + 1)

(b) (n² – 1)

(c) n²

(d) (2n² + 1)

**Solution:**

1 + 3 + 5 + 7 + … to n terms when n is an odd is equal to n² (c)

Sum of first n odd natural numbers is n²

**Question 9.**

**Which of the following is a Pythagorean triplet ?**

**(a) (2, 3, 5)**

**(b) (5, 7, 9)**

**(c) (6, 9, 11)**

**(d) (8, 15, 17)**

**Solution:**

Answer = (d)

(8)² + (15)²

= 64 + 225

= 289 = (17)²

**Question 10.**

**What least number must be subtracted from 176 to make it a perfect square?**

**(a) 16**

**(b) 10**

**(c) 7**

**(d) 4**

**Solution:**

Answer = (c)

7 must be subtracted

**Question 11.**

**What least number must be added to 526 to make it a perfect square ?**

**(a) 3**

**(b) 2**

**(c) 1**

**(d) 6**

**Solution:**

Finding the square root of 526 by division method

We get remainder = 41

Now (22)² = 484 and (23)² = 529

The least number to be added = 529 – 526 = 3 (a)

**Question 12.**

**What least number must be added to 15370 to make it a perfect square ?**

**(a) 4**

**(b) 6**

**(c) 8**

**(d) 9**

**Solution:**

Finding the square root of 15370 by division method

We get remainder = 261

Now (123)² = 15129

and (124)² = 15376

The least number to be added

= 15376 – 15370 = 6 (b)

**Question 13.**

**√0.9 = ?**

**(a) 0.3**

**(b) 0.03**

**(c) 0.33**

**(d) 0.94**

**Solution:**

Answer = (d)

**Question 14.**

**√0.1 = ?**

**(a) 0.1**

**(b) 0.01**

**(c) 0.316**

**(d) none of these**

**Solution:**

√0.1 = 0.316 (c)

**Question 15.**

**√0.9 x √1 .6**

**(a) 0.12**

**(b) 1.2**

**(c) 0.75**

**(d) 12**

**Solution:**

Answer = (b)

=

=

= 1.2

**Question 16.**

** = ?**

**(a)**

**(b)**

**(c)**

**(d)1.49**

**Solution:**

Answer = (c)

**Question 17.**

** = ?**

**(a)**

**(b)**

**(c)**

**(d)None of these**

**Solution:**

=

= (b)

**Question 18.**

**Which of the following is the square of an even number ?**

**(a) 196**

**(b) 441**

**(c) 625**

**(d) 529**

**Solution:**

We know that the square on an even number is also an even number. 196 is the square of an even number (a)

**Question 19.**

**Which of the following is the square of an odd number ?**

**(a) 2116**

**(b) 3844**

**(c) 1369**

**(d) 2500**

**Solution:**

We know that the square of an odd number is also an odd number

1369 is an odd number

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