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Q:

What is value of $\frac{P + Q}{P - Q}$ if $\frac{P}{Q} = 7$ ?

A) 1/3	B) 2/3
C) 4/3	D) 5/3

Answer & Explanation Answer: C) 4/3

Explanation:

$h e n c e P = 7 Q$

$\frac{P + Q}{P - Q} = \frac{7 Q + Q}{7 Q - Q} = \frac{8 Q}{6 Q} = \frac{4}{3}$

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Q:

If $\frac{a}{b} = \frac{4}{5}$ and $\frac{b}{c} = \frac{15}{16}$ , then $\frac{c^{2} - a^{2}}{c^{2} + a^{2}}$ is :

A) 7/5	B) 7/25
C) 7/125	D) 7

Answer & Explanation Answer: B) 7/25

Explanation:

$\frac{a}{b} \times \frac{b}{c} = \frac{4}{5} \times \frac{15}{16} = \frac{3}{4} = \frac{16 - 9}{16 + 9}$

= $\frac{7}{25}$

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Q:

If a * b = 2a - 3b + ab, then 3 * 5 + 5 * 3 is equal to :

A) 22	B) 23
C) 24	D) 25

Answer & Explanation Answer: A) 22

Explanation:

3 * 5 + 5 * 3 = (2 * 3 - 3 * 5 + 3 * 5) + ( 2 * 5 - 3 * 3 + 5 * 3)

= (6 + 10 - 9 + 15) = 22.

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Q:

The difference of $\frac{1}{8}$ and its reciprocal is equal to :

A) 1/8	B) 4/3
C) 15/16	D) 105/304

Answer & Explanation Answer: D) 105/304

Explanation:

Required difference = 19/16 - 16/19 = 105/304..

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Q:

How many $\frac{1}{8}$ ' s are there in $37 \frac{1}{2}$ ?

A) 300	B) 400
C) 500	D) 600

Answer & Explanation Answer: A) 300

Explanation:

$37 \frac{1}{2} = \frac{75}{2}$

Required number = $\frac{\frac{75}{2}}{\frac{1}{8}}$ = 75 x 4 = 300

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Q:

A tank is 2/5 full. If 16 litres of water is added to the tank, it becomes 6/7 full. The capacity of the tank is:

A) 28 litres	B) 32 litres
C) 35 litres	D) 42 litres

Answer & Explanation Answer: C) 35 litres

Explanation:

Let the capacity of the tank be x litres.

Then, (6x/7 - 2x/5) = 16 <=> 30x - 14x = 16*35 <=> x = 35

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Q:

A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed :

A) 30 birds	B) 60 birds
C) 72 birds	D) 90 birds

Answer & Explanation Answer: A) 30 birds

Explanation:

Let the no of shots be x. Then,

Shots fired by A =(5/8)x

Shots fired by B = (3/8)x

Killing shots by A = 1/3 of (5/8)x = (5/24)x

Shots missed by B = 1/2 of (3/8)x = (3/16)x

(3/16)x = 27 $\Rightarrow$ x =144

Birds killed by A = (5/24)x = (5/24)*144 = 30

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Q:

If a - b = 3, $(a^{2} + b^{2}) = 29$ , find the value of ab.

A) 10	B) 12
C) 15	D) 18

Answer & Explanation Answer: A) 10

Explanation:

2ab= $(a^{2} + b^{2}) - (a^{2} - b^{2})$

29-9=20

=>ab=10

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