1.  If $\sqrt{\mathrm{.00000676}}$ = .0026, the square root of 67,60,000 is :

126
26
260
2600

Option

$\sqrt{\mathrm{6760000}}$ = $\sqrt{\mathrm{0.00000676 * 1012}}$ = $\sqrt{\mathrm{0.00000676}}$ * $\sqrt{\mathrm{1012}}$ = .0026 * 106 = 2600.

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2.  $\sqrt{\mathrm{0.361⁄0.00169}}$ = ?

1.913
1913
1.9130
19013

Option

$\sqrt{\mathrm{0.361⁄0.00169}}$ = $\sqrt{\mathrm{0.36100⁄0.00169}}$ = $\sqrt{\mathrm{36100⁄169}}$ = 19013

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3.  If $\sqrt{\mathrm{\left(x - 1\right) \left(y + 2\right)}}$ = 7, x and y being positive whole numbers, then the values of x and y respectively are :

8, 5
15, 12
22, 19
None of these

Option

$\sqrt{\mathrm{\left(x - 1\right) \left(y + 2\right)}}$ = 7. (x -1) (y + 2) = (7)2. (x -1) = 7 and (y + 2) = 7. x = 8 and y = 5.

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4.  If $\sqrt{\mathrm{3n}}$ = 729, then the value of n is :

6
8
10
12

Option

$\sqrt{\mathrm{3n}}$ = 729 = 36. ($\sqrt{\mathrm{3n}}$)2 = (36)2. 3n = 3. n = 12.

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5.  If 52x = $\sqrt{\mathrm{169⁄289}}$, the value of x is :

52
58
62
68

52x = $\sqrt{\mathrm{169⁄289}}$. 52x = 1317. x = 52 * 1713 = 68.