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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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Filed Under: Simplification
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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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Q:

If $3 x + 7 = x^{2} + p = 7 x + 5$ , what is the value of P ?

A) 17/2	B) 25/3
C) 33/4	D) 41/5

Answer & Explanation Answer: A) 17/2

Explanation:

$3 x + 7 = 7 x + 5 = > 7 x - 3 x = 2 = > 4 x = 2 = > x = 2$

Now, $3 x + 7 = x^{2} + p = \frac{3}{2} + 7 = \frac{1}{4} + p = > p = \frac{17}{2}$

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Q:

The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 9000, brokerage being $\frac{1}{4}$ % is :

A) Rs.108.25	B) Rs.112.20
C) Rs.124.75	D) Rs.125.25

Answer & Explanation Answer: C) Rs.124.75

Explanation:

For an income of Rs.756, investment = Rs.9000

For an income of Rs. $\frac{21}{2}$ , investment = $R s . (\frac{9000}{756} * \frac{21}{2})$ = Rs.125

For a Rs.100 stock, investment = Rs.125.

Market value of Rs. 100 stock = $R s . (125 - \frac{1}{4})$ = Rs. 124.75

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Filed Under: Stocks and Shares

Q:

The cash realised on selling a 14% stock at Rs. 106.25, brokerage being $\frac{1}{4}$ %, is :

A) RS.105.50	B) RS.106
C) RS.106.50	D) RS.113.75

Answer & Explanation Answer: B) RS.106

Explanation:

Cash realised = Rs. (106.25 - 0.25) = Rs. 106.

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Filed Under: Stocks and Shares

Q:

The cost price of a Rs.100 stock at 4 discount, when brokerage is $\frac{1}{4}$ % is :

A) Rs.95.75	B) Rs.96
C) Rs.96.25	D) Rs.104.25

Answer & Explanation Answer: C) Rs.96.25

Explanation:

CP. = $R s . (100 - 4 + \frac{1}{4})$ = Rs.96.25

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Filed Under: Stocks and Shares

Q:

0.002 * 0.5 = ?

A) 0.0001	B) 0.001
C) 0.01	D) 0.1

Answer & Explanation Answer: B) 0.001

Explanation:

2 * 5 = 10. Sum of decimal places = 4.

.002 * .5 = 0.0010 = 0.001

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Filed Under: Decimal Fractions

Q:

What will come in place of question mark in the following equation ?

54.(?)3 + 543 + 5.43 = 603.26

A) 6	B) 1
C) 9	D) 8

Answer & Explanation Answer: D) 8

Explanation:

Let x + 543 + 5.43 = 603.26. Then, x = 603.26 - (543 + 5.43) = 603.26 - 548.43 =54.83

Missing digit = 8..

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Filed Under: Decimal Fractions

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