A website Maths Puzzle Numerical Ability Log and Antilog

how to find 10^(3/4) without calculator?

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let x=10^(3/4) taking logarithm on both sides logx=log10^(3/4)=3/4log10 now taking antilog we get value of x because antilog cancel log
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a. 24 b.25 c.23 d.120 I renovated my bathroom and got myself a new bath tub along with new accessories. I have two taps now - hot one and cold one. The hot tap fills the bath tub faster i.e. in fifteen minutes while it takes eighteen minutes for the cold tap to fill the bath tub.

The drain hole can drain the entirely filled bathtub in ten minutes when the taps are not running.

If I leave both the taps on with the drain plug left out, how long will it take the bath to fill?