Maths

A sum of money placed at compound interest doubles itself in 4 years. It will amount to eight times in how many years?

A number when divided by 5 and 3 leaves remainders of 3 and 1, respectively. Find the smallest such 3 digit number.

I invest 1/2nd of my capital at 3%, 1/3rd at 5% and the remainder at 6%. If my annual income is Rs. 250 find my capital.

Find the remainder of $\frac{{}^{}}{}$ $\frac{{\left(1955\right)}^{475}}{4}$

A cylinder of diameter 10 cm contains milk. Three spheres each of diameter 10 cm are placed in the cylinder of all are submerged and no milk overflows, find the height of milk-level rise?

Two candles of the same length are lighted at the same time. The first is consumed in 12 hours and the second in 8 hours. Assuming that each candle burns at a constant rate, in how many hours after being lighted was the first candle twice the length of the second?

Forty eight litres of a solution contains rum and water in the ratio 5 : 3. How much quantity of water should be added so that the ratio of rum to water becomes 1 : 2?

A fraction $\frac{p}{q}$ $\frac{}{}$ is such that p, q > 0. If 3 is subtracted from the numerator fraction becomes –1. If 2 is added to denominator the fraction becomes $\frac{1}{4}$ $\frac{}{}$ . Find value of p & q respectively.

A man at the time of his marriage, was eight years older than his wife. Eight years previous to the marriage he was twice as old as his wife. Find their ages at the time of their marriage.