P, Q and R together can do a piece of work in 56 days. P and Q together can do one-fourth as much work as R alone. In how many days can P and Q together complete the entire work?

A person invests Rs 12000 as fixed deposit at a bank at the rate of 10% per annum simple interest. But due to some pressing needs he has to withdraw the entire money after 3 years, for which the bank allowed him at lower rate of interest. If he gets Rs 3320 less than what he would have got at the end of 5 years, the rate of interest allowed by the bank is

Two person P and Q are 844 m apart. They both start cycling simultaneously in the same direction with speeds of 12 m/s and 8 m/s, respectively, In how much time will P overtake Q?

To do a certain work, the ratio of efficiency of A to that of B is 3 : 7. Working together, they can complete the work in \(10\frac{1} {2} \)days. They work together for 8 days. 60% of the remaining work will be completed by A alone in:

If \((2\space sin A+cosecA)=2\sqrt2\), where 0° < A < 90°, then the value of \(2(sin^4A+cos^4A)\) is: