## Square roots and Cube roots:

11) The number which is not expressible as the square of any natural number is

- 1369
- 5041
- 7056
- 9852

View Answer**Answer:** D

**Explanation:**

We have

1369 = 37^{2},

5041 = 71^{2},

7056 = 84^{2},

9852 = (99.2)^{2}

All of the numbers are perfect square except the option D.

12) What is the smallest number to be subtracted from 549162 in order to make it a perfect square?

- 28
- 36
- 62
- 81

View Answer**Answer:** D

**Explanation:**

Hence the smallest number to be subtracted is 81 to make the number a perfect square.

13) The smallest number which when multiplied to 3600 yields perfect cube is

- 50
- 60
- 40
- 100

View Answer**Answer:** B

**Explanation:**

∴ 3600 = 2 × 2 × 2 × 2 × 5 × 5 × 3 × 3

= 2^{3} × 2 × 5^{2} × 3^{2}

∴ 3600 must be multiplied by 60 to make it perfect cube.

14) If 2*3 = √13 and 3*4 = 5, what is the value of 5*12?

- 17
- 29
- 12
- 13

View Answer**Answer:** D

**Explanation:**

From the above relation it is clear that

15) =?

- 25
- 125
- 625
- None of these.