1.  If y = 5, then what is the value of 10y$\sqrt{\mathrm{y3- y2}}$ ?

50$\sqrt{2}$
100
200$\sqrt{5}$
500

```Answer

Answer: Option  D Explanation:10y$\sqrt{\mathrm{y3- y2}}$ = 10 * 5$\sqrt{\mathrm{53- 52}}$ = 50 * $\sqrt{\mathrm{125 - 25}}$ = 50 * $\sqrt{\mathrm{100}}$ = 50 * 10 = 500. ```

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2.  If $\sqrt{\mathrm{1369}}$ + $\sqrt{\mathrm{.0615 + x}}$ = 37.25, then x is equal to :

10-1
10-2
10-3
None of these

```Answer

Answer: Option  C Explanation:37 + $\sqrt{\mathrm{.0615 + x}}$ = 37.25.
$\sqrt{\mathrm{.0615 + x}}$ = 0.25.
.0615 + x = (0.25)2 = 0.0625.
x = .001 = 1⁄103 = 10-3. ```

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3.  If x * y = x + y + $\sqrt{\mathrm{xy}}$, the value of 6 * 24 is :

41
42
43
44

```Answer

Answer: Option  B Explanation:6 * 24 = 6 + 24 + $\sqrt{\mathrm{6 * 24}}$ = 30 + $\sqrt{\mathrm{144}}$ = 30 + 12 = 42. ```

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4.  If x * y = x + y + $\sqrt{\mathrm{xy}}$, the value of 6 * 24 is :

41
42
43
44

```Answer

Answer: Option  B Explanation:6 * 24 = 6 + 24 + $\sqrt{\mathrm{6 * 24}}$ = 30 + $\sqrt{\mathrm{144}}$ = 30 + 12 = 42. ```

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5.  The square root of (2722 - 1282) is :

144
200
240
256

```Answer

Answer: Option  C Explanation:$\sqrt{\mathrm{\left(272\right)2- \left(128\right)2}}$ = $\sqrt{\mathrm{\left(272 + 128\right)\left(272 - 128\right)}}$ = $\sqrt{\mathrm{400 * 144}}$ = $\sqrt{\mathrm{57600}}$ = 240. ```

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