1.  Which number can replace both the question marks in the equation 412? = ?32.

1
7
712
None of these

```Answer

Answer: Option  D Explanation:Let 41⁄2⁄x = x⁄32.
Then, x2 = 32 * 9⁄2 = 144.
x = $\sqrt{\mathrm{144}}$ = 12. ```

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2.  What number should be divided by $\sqrt{\mathrm{0.25}}$ to give the result as 25 ?

12.5
25
50
125

```Answer

Answer: Option  D Explanation:Let the required number be x. Then x⁄$\sqrt{\mathrm{0.25}}$ = 25.
x⁄0.5 = 25.
x = 25 * 0.5 = 125. ```

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3.  What is the square root of 0.16 ?

0.004
0.04
0.4
4

```Answer

Answer: Option  C Explanation:$\sqrt{\mathrm{0.16}}$ = $\sqrt{\mathrm{16⁄100}}$ = $\sqrt{\mathrm{16}}$⁄$\sqrt{\mathrm{100}}$ = 4⁄10 = 0.4. ```

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4.  Three-fifth of the square of a certain number is 126.15. What is the number ?

14.5
75.69
145
210.25

```Answer

Answer: Option  C Explanation:Let the number be x. Then
3⁄5 x2 = 126.15.
x2 = (126.15 * 5⁄3) = 210.25.
x = $\sqrt{\mathrm{210.25}}$ = 14.5 ```

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5.  The value of $\sqrt{\mathrm{0.01}}$ + $\sqrt{\mathrm{0.81}}$ + $\sqrt{\mathrm{0.21}}$ + $\sqrt{\mathrm{0.0009}}$

2.03
2.1
2.11
2.13

```Answer

Answer: Option  D Explanation:$\sqrt{\mathrm{1⁄100}}$ + $\sqrt{\mathrm{81⁄100}}$ + $\sqrt{\mathrm{121⁄100}}$ = $\sqrt{\mathrm{9⁄10000}}$ = 1⁄10 + 9⁄10 + 11⁄10 + 3⁄100.
= 0.1 + 0.9 + 1.1 + 0.03 = 2.13. ```

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