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Q:

If Rs. 782 be divided into three parts, proportional to $\frac{1}{2} : \frac{2}{3} : \frac{3}{4}$ , then the first part is?

A) Rs. 182	B) Rs. 190
C) Rs. 192	D) Rs. 204

Answer & Explanation Answer: D) Rs. 204

Explanation:

$R s . (782 * \frac{6}{23})$

Given ratio = $\frac{1}{2} : \frac{2}{3} : \frac{3}{4}$ = 6:8:9

1st part = $R s . (782 * \frac{6}{23})$ = Rs. 204

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Filed Under: Ratios and Proportions

Q:

A train travelling at a speed of 75 mph enters a tunnel $3 \frac{1}{2}$ miles long. The train is $\frac{1}{4}$ mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?

A) 2.5 min	B) 3 min
C) 3.2 min	D) 3.5 min

Answer & Explanation Answer: B) 3 min

Explanation:

Total distance covered = $(\frac{7}{2} + \frac{1}{4})$ miles = $\frac{15}{4}$ miles

Time taken = $(\frac{15}{4 * 75})$ hrs = $\frac{1}{20}$ hrs = $(\frac{1}{20} * 60) m i n$ = 3 min

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Filed Under: Problems on Trains

Q:

A man’s current age is $\frac{2}{5}$ of the age of his father. After 8 years, he will be $\frac{1}{2}$ of the age of his father. What is the age of father at now ?

A) 50	B) 40
C) 33	D) 30

Answer & Explanation Answer: B) 40

Explanation:

Let, father’s current age is A years.
Then, Man’s current age = $[(\frac{2}{5} * A)]$ years.

$[(\frac{2}{5} * A)]$ +8= $(\frac{1}{2}) (A + 8)$

2(2A+40) = 5(A+8)

A = 40

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Filed Under: Problems on Ages

Q:

If n is natural number , then $(6 n^{2} + 6 n)$ is always divisible by :

A) 6 only	B) 6 and 12 both
C) 12 only	D) by 18 only

Answer & Explanation Answer: B) 6 and 12 both

Explanation:

$(6 n^{2} + 6 n) = 6 n (n + 1)$ , which is always divisible by 6 and 12 both, since n(n+1) is always even.

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Filed Under: Numbers

Q:

$\frac{854 * 854 * 854 - 276 * 276 * 276}{854 * 854 + 854 * 276 + 276 * 276} = ?$

A) 546	B) 578
C) 607	D) None of these

Answer & Explanation Answer: B) 578

Explanation:

Given exp . is like this $\frac{854 * 854 * 854 - 276 * 276 * 276}{854 * 854 + 854 * 276 + 276 * 276} = ?$

so ans = 854 - 276 = 578

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Filed Under: Numbers

Q:

$9 \frac{3}{4} + 7 \frac{2}{17} - 9 \frac{1}{15} = ?$

A) 7 + 719/1020	B) 9 + 817/1020
C) 9 + 719/1020	D) 7 + 817/1020

Answer & Explanation Answer: D) 7 + 817/1020

Explanation:

$g i v e n s u m = 9 + \frac{3}{4} + 7 + \frac{2}{17} - (9 + \frac{1}{15})$

$(9 + 7 + 9) + (\frac{3}{4} + \frac{2}{17} - \frac{1}{15})$

=> $\frac{7 + (765 + 120 - 68)}{1020}$ => $7 + \frac{817}{1020}$

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Filed Under: Numbers

Q:

If 60% of $\frac{3}{5}$ of a number is 36, then the number is

A) 86	B) 94
C) 100	D) 115

Answer & Explanation Answer: C) 100

Explanation:

Let the number be x.Then

60% of $\frac{3}{5}$ of x=36.

=> $\frac{60}{100} * \frac{3}{5} * x = 36$

=> $\frac{9 x}{25} = 36$ => x= $\frac{25 * 36}{9} = 100$

Required number is 100.

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Filed Under: Numbers

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