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Q:

A train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

A) 49 kmph	B) 50 kmph
C) 51 kmph	D) 52 kmph

Answer & Explanation Answer: A) 49 kmph

Explanation:

Speed of the train relative to man

= (125/10) m/sec = (25/2) m/sec.

[(25/2) x (18/5)] km/hr = 45 km/hr.

Let the speed of the train be 'x' km/hr.

Then, relative speed = (x - 4) km/hr.

x - 4 = 45 => x = 49 km/hr.

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Filed Under: Problems on Trains
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Q:

The cost price of an article is 54% of the marked price. Calculate the gain percent after allowing a discount of 15% ?

A) 51.32 %	B) 49.23 %
C) 48.4 %	D) 46.8 %

Answer & Explanation Answer: C) 48.4 %

Explanation:

Let marked price = Rs. 100.
Then, C.P. = RS. 54,
S.P. = Rs. 85
Gain % = 31/64 x 100 = 48.4%.

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Filed Under: Profit and Loss
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Q:

The average age of a couple is 24 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child ?

A) 2 yrs	B) 4 yrs
C) 3 yrs	D) 5 yrs

Answer & Explanation Answer: A) 2 yrs

Explanation:

29 x 2 = 58
20 x 3 = 60
-----------
2 years

Therefore, the age of child is 2 years.

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Filed Under: Problems on Ages
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Q:

Amar can do a piece of work in 10 days. He works at it for 4 days and then Arun finishes it in 9 days. In how many days can Amar and Arun together finish the work ?

A) 4 days	B) 8 days
C) 3 days	D) 6 days

Answer & Explanation Answer: D) 6 days

Explanation:

4/10 + 9/x = 1 => x = 15

Then both can do in

1/10 + 1/15 = 1/6 => 6 days

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Filed Under: Time and Work
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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Q:

In a pot, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk, the pot would be full and ratio of milk and water would become 6 : 5. Find the capacity of the pot ?

A) 11 lit	B) 22 lit
C) 33 lit	D) 44 lit

Answer & Explanation Answer: B) 22 lit

Explanation:

Let the capacity of the pot be 'P' litres.
Quantity of milk in the mixture before adding milk = 4/9 (P - 8)
After adding milk, quantity of milk in the mixture = 6/11 P.
6P/11 - 8 = 4/9(P - 8)
10P = 792 - 352 => P = 44.

The capacity of the pot is 44 liters.

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Filed Under: Alligation or Mixture
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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Q:

Simplify the following equation

$\frac{[{(K - L)}^{2} - {(K + L)}^{2}]}{4 K}$ = a/b

A) K = b /a	B) bL = -a
C) KL = 1	D) aK = -b

Answer & Explanation Answer: B) bL = -a

Explanation:

$\frac{[(K - L)^{2} - {(K + L)}^{2}]}{4 K} = \frac{a}{b} \frac{(K^{2} + L^{2} - 2 K L) - (K^{2} + L^{2} + 2 K L)}{4 K} = \frac{a}{b}$

=> - 4KL/4K = a/b

=> L = - a/b

=> bL = -a

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Filed Under: Simplification
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Q:

Find the odd one out of the following options.

A) Sapphire	B) Ruby
C) Topaz	D) Granite

Answer & Explanation Answer: D) Granite

Explanation:

Except Granite all other options belong to the group of precious stones.

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Filed Under: Odd Man Out
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Q:

What do you mean by friend function in C++ ?

Answer

Friends can be either functions or other classes. The class grants friends unlimited access privileges.

* The declaration of the function should be preceded by the keyword 'friend'.
* The function definition will not use the keyword or the scope operator '::'.

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