GATE Questions

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Ans. 
Time taken by A to complete a work alone - 24 days
Time taken by A in completing 1/3 of work = 24*1/3= 8 Days
8 day = time taken by B in completing 1/2 of work
B alone can complete the work = 16 days
The required time in completing the work if both A & B start working together?
16*24 / 40 = 48/5 Days

The part of the earth and its atmosphere in which living organisms exist or that is capable of supporting life is called Biosphere.

An Umbrella.

Yes, when it is open it can't be fit under a chimney but when it is closed it can be fit down a chimney.

Yes, future is always infront of us, but no one can see it.

In chronology, the sequence of events from the latest to the oldest events or vice versa is laid. In this case, the details of how a particular event or place or thought developed through time is detailed in a chronology. 

Hence, the term chronology is a type of detail.

Total engineers = 4800

Number of female engineers = 3/8 x 4800 = 1800

Then, number of male engineers = 4800 - 1800 = 3000

Now, required is female engineers is what percentage of the number of male engineers

=> 1800 is what % of 3000

=> p x 3000/100 = 1800

=> 30p = 1800

p = 60%

Hence, female engineers is 60 percentage of the number of male engineers.

Given that x = 2+ 223 + 213

So x - 2 = 223 + 213

Now cubing on both sides, we get

=> x3-8-6x2+12x = 4 + 2 + 6(x-2)

Therefore, x3-6x2+6x = -6 + 8 = 2