CAT Questions

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Efficiency of Inlet pipe A = 4.16%       10024 

Efficiency of Inlet pipe B = 5.83%      1001717  

Therefore, Efficiency of A and B together = 100 %   

Now, if the efficiency of outlet pipe be x% then in 10 hours the capacity of tank which will be filled = 10 *  (10 - x)

Now, since this amount of water is being emptied by 'C' at x% per hour, then

 10x10-xx=2.5 hrs 

 => x = 8 

Therefore, in 10 hours 20% tank is filled only. Hence, the remaining 80% of the  capacity will be filled by pipes A and B  in 80/10 = 8 hours 

Given Principal amount P = Rs. 10

 Time T = 4 months

 Rate of interest R = 3 ps

 Interest I = PTR/100 = (10 x 4 x 3)/100 = 12/10 = 1.2 paise.

The relationship is xy : x+1y+1

Now , 64 = 43

So, required number = 4+13+1 = 54 = 625

The rate of percent R is given by,

Let 1 man's 1 day work = x and 1 woman's 1 day work = y.
Then, 4x + 6y = 1/8 and 3x + 7y = 1/10
Solving these two equations, we get:
x = 11/400 and y = 1/400
10 woman's 1 day work = (1/400 x 10) = 1/40.

Hence, 10 women will complete the work in 40 days.

In India, planned economy is based on Socialist System.

Double fault is associated with which game Tennis. Double fault refers to two consecutive faults during service.

We know that, After every 400 years, the same day occurs.

Thus, if 9th August 2016 is Saturday, before 400 years i.e., on 9th August 1616 has to be Saturday.