Source: Compiled by ALLEN Career Institute

Pointing towards a person, a man said to a woman, “His mother is the only daughter of your father.” How is the woman related to that person?

Explanation:
The only daughter of woman’s father is herself.
So, the person is woman's son.
i.e., the woman is the person’s mother.

If FRAGRANCE is written as SBHSBODFG, how can IMPOSING be written?

Explanation:
Each letter in the word is moved one step forward and the first letter of the group. so obtained is put at the end, to obtain the code.

A train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the train must run to reduce the time of journey to 40min will be.

Explanation:
Time=50/60 hr=5/6hr
Speed=48mph
distance=S*T=48*5/6=40km
time=40/60hr=2/3hr
New speed = 40* 3/2 kmph= 60kmph

A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?

Explanation:
Number of liters of water in150 liters of the mixture = 20% of 150 = 20/100 * 150 = 30 liters.
P liters of water added to the mixture to make water 25% of the new mixture.
Total amount of water becomes (30 + P) and total volume of mixture is (150 + P).
(30 + P) = 25/100 * (150 + P)
120 + 4P = 150 + P => P = 10 liters.

Solve the equation for x : 6x - 27 + 3x = 4 + 9 – x

Explanation:
6x+3x+x=4+9+27
9 x + x = 13 + 27
10 x = 40 => x = 4

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