CAT Questions

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Since Akhil has no brother or sister, so he is his father's only son.
So wife of Akhil's father's son---Akhil's wife.
Thus, Akhil's wife is the man's mother or the man is Akhil's son.

A microwave.

Generally when you run a microwave for '99' it runs for 1 minute and 39 seconds. '100' runs for 1 minute.

The capital of Bangladesh “Dhaka” is the world’s most crowded city with a population density of 44,500 people per square kilometre, released by World Economic Forum (WEF), citing UN Habitat data. According to UN Habitat data, of the top 10 most densely populated cities in the world, six are in Asia, three are in Africa and one is in South America. India’s financial capital Mumbai, home to 31,700 people per square kilometre has acquired second place, where as Kota in Rajasthan with 12,100 people per square kilometre was ranked seventh. Others in the list include Medellin in Columbia (3rd), Manila in Philippines (4th, 14,800), Casablanca in Morocco (5th, 14,200), Lagos in Nigeria (6th, 13,300), Singapore (8th, 10,200) and Jakarta in Indonesia (9th, 9,600).

Rate of her upstream = 12/2.5 = 4.8 km/hr

Then, ATQ

Rate of downstream = 4.8 x 3 = 14.4 km/hr

Hence, the distance she covers downstream in 5 hrs = 14.4 x 5 = 72 kms.

Let the number of days be 'p' 

As the work is same, we know that

M1 x D1 x H1 = M2 x D2 x H2

Where M = Men, D = Days, H = Hours per day 

Here M1 = 9, D1 = 15, H1 = 7 

M2 = 6, D2 = p, H2 = 9 

=> 9 x 15 x 7 = 6 x p x 9 

=> p = 35/2 = 17.5 days.