CAT Questions

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If √(1 + cot2A) = x, then the value of x is

Working together, pipes A and B can fill an empty tank in 10 hours. They worked together for 4 hours and then B stopped and A continued filling the tank till it was full. It took a total of 13 hours to fill the tank. How long would it take A to fill the empty tank alone?

The Mahanadi is a major river in East Central India. It originates from which state?

Amit is facing north. He turns 90° right and walks for 50 m, then turns towards the south and walks 50 m, then turns right to walk for another 50 m and from there, he walks 50 m towards north. In which direction/position is he from his original position?

Consider the given statement true and decide which of the conclusions logically follow(s) from the information given in the statement.

Statement:
The population in metro cities is increasing tremendously which leads to the shortage of living space and a drop in living conditions of the people.

Conclusions:
1. Government should re-plan city development.
2. Government should demolish illegal buildings and build cottages for people.

As per guidelines of the RBI, payments banks can accept demand deposits (savings and current) up to a maximum of _______________ per customer. 

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement:
(I) 28 athletes are facing legal cases due to doping incidents.
(II) The new wave of Olympic doping cases is based on evidences.

Conclusions:
(I) The report of doping is based on the test that happen.
(II) Doping practice is very common these days among athletes.

Who is the author of 'Million Mutinies Now'?