CAT Questions

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Find the next number in the series

404, 415, 402, 413, 400, ?

The smallest Union Territory of India is 

Select the related word/letters/number from the given alternatives.

RM : XG : : ER : ?

The interest on a certain deposit at 4.5% p.a. is Rs. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a.  ?

A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400  $$\begin{gathered} m3 \\ \end{gathered}$$. The emptying capacity of the tank is 10 m3 per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?

I cannot be other than what I am, Until the man who made me dies, Power and glory will fall to me finally, Only when he last closes his eyes.

In the following question, select the related number from the given alternatives.

11 : 16 : : ? : ?

A cow was standing on a bridge, 5m away from the middle of the bridge. A train was coming towards the bridge from the ends nearest to the cow. Seeing this cow ran towards the the train and managed to escape when the train was 2m away from bridge. If it had run in the opposite direction, it would hit by the train 2m before the end of the bridge. What is the lenght of the bridge in meters assuming the speed of the train is 4 times that of cow ?