If the mean of the observations \(k,\ (k+8),\ (2k-1),\ (k+12),\ 12\) and \(17\) is 13, then find the median of these observations.

Which of the following is correct for a number to be divisible by 8?

Aniket can row a boat, 21 km downstream in 1 hr 30 min and 20 km upstream in 2 hours. He can row the boat in still water at the speed of (in km/h).

If \(P=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+\dfrac{1}{30}\), then find the value of \(\sqrt{6(9-P)}\).

To reduce the usual time taken to cover a distance of 300 km by 1 hour, the speed of a bus is increased by 10 km/h. The usual speed of the bus (in km/h) is:

The value of \(\left(2.3\overline{6}-0.1\overline{4}\right)\) expressed as fraction in lowest terms is:

In a class, there are 40 students. Their average marks in a test are 33. If the average marks of the boys are 30 and that of the girls are 35, then what is the number of boys in the class?

Find the value of \(p^3-27q^3\) if \(p-3q=-7\) and \(pq=-10\).

The average weight of 11 persons in a group of 12 persons is 64 kg. The weight of the 12th person is 22 kg more than the average weight of all the 12 persons. The weight of the 12th person (in kg) is: