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Q:

The value of $\sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225}}}}}$ is:

A) 4	B) 6
C) 8	D) 10

Answer & Explanation Answer: A) 4

Explanation:

$\sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225}}}}} \sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + 15}}}} \sqrt{10 + \sqrt{25 + \sqrt{108 + 13}}} \sqrt{10 + \sqrt{25 + 11}} \sqrt{10 + 6} \sqrt{16} = 4$

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Filed Under: Square Roots and Cube Roots
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Q:

$\frac{\frac{7}{2} \div \frac{5}{2} \times \frac{3}{2}}{\frac{7}{2} \div \frac{5}{2} o f \frac{3}{2}} \div 5.25$

A) 3/5	B) 3/6
C) 3/7	D) 3/8

Answer & Explanation Answer: C) 3/7

Explanation:

$\frac{\frac{7}{5} x \frac{3}{2}}{\frac{14}{15}} \div \frac{525}{100} \frac{9}{4} \div \frac{525}{100} \frac{900}{2100} = \frac{3}{7}$

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Filed Under: Simplification
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Q:

Simplyfiy : $[3 \frac{1}{4} \div \{1 \frac{1}{4} - \frac{1}{2} (2 \frac{1}{2} - (\frac{1}{4} + \frac{1}{6}))\}]$

A) 78	B) 88
C) 98	D) 108

Answer & Explanation Answer: A) 78

Explanation:

Given exp = $[\frac{13}{4} \div \{\frac{5}{4} - \frac{1}{2} (\frac{5}{2} - \frac{3 - 2}{12})\}]$ = $[\frac{13}{4} \div \{\frac{5}{4} - \frac{1}{2} (\frac{5}{2} - \frac{1}{12})\}]$

= $[\frac{13}{4} \div \{\frac{5}{4} - \frac{1}{2} (\frac{30 - 1}{12})\}]$ = $[\frac{13}{4} \div \{\frac{5}{4} - \frac{29}{24}\}]$

= $[\frac{13}{4} \div \frac{30 - 29}{24}]$ =78

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Filed Under: Simplification

Q:

$18800 \div 470 \div 20 = ?$

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: B) 2

Explanation:

Given Expression = $\frac{18800}{470} \div 20$ = $40 \div 20$ = 2

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Filed Under: Simplification

Q:

Cost of 3 cricket balls = cost of 2 pairs of leg pads.

Cost of 3 pairs of leg pads = cost of 2 pairs of gloves.

Cost of 3 pairs of gloves = cost of 2 cricket bats.

If a cricket bat costs Rs 54, what is the cost of a cricket ball.

A) Rs 12	B) Rs 16
C) Rs 14	D) Rs 18

Answer & Explanation Answer: B) Rs 16

Explanation:

3 pairs of gloves = 2 x 54 = 108 ; 1 pairs of gloves = 36
3 pairs of leg pads = 2 x 36 = 1 pairs of leg pads = 24
3 cricket balls = 2 x 24 = 48
cost of 1 cricket ball = 16;

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Filed Under: Profit and Loss

Q:

$I f a = b^{x}, b = c^{y} a n d c = a^{z} t h e n t h e v a l u e o f x y z i s e q u a l t o :$

A) -1	B) 0
C) 1	D) abc

Answer & Explanation Answer: C) 1

Explanation:

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Filed Under: Logarithms

Q:

$I f l o g_{a} (a b) = x, t h e n l o g_{b} (a b) = ?$

A) 1/x	B) x/(x+1)
C) x/(1-x)	D) x/(x-1)

Answer & Explanation Answer: D) x/(x-1)

Explanation:

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Filed Under: Logarithms

Q:

The value of $[\frac{1}{3} l o g_{10} (125) - 2 l o g_{10} (4) + l o g_{10} (32)] :$

A) 0	B) 1
C) 2	D) 4/5

Answer & Explanation Answer: B) 1

Explanation:

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Filed Under: Logarithms
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