In a square, lengths of the diagonals are \((4k + 6)\) cm and \((7k - 3)\) cm. The area of the square (in cm\(^2\)) is :

A certain sum becomes ₹2,356 in 3 years and ₹2660 in 5 years on simple interest. The value of sum is:

The volume of a cylinder having base radius 3 cm is 396 cm\(^3\). Find its curved surface area (in cm\(^2\)). (Use \(\pi = \frac{22}{7}\))

An item is sold for ₹504 after allowing 20% discount and still a profit of 5% has been earned. The marked price is how much more than the cost price?

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

The sum of three numbers is 136. If the ratio between the first number and the second number is 2 : 3 and that between the second and the third number is 5 : 3 then the first number is :

A train running at the speed of 80 km/h crosses a 350 m long tunnel in 36 seconds. The length of the train (in m) is

In a class of 40 students, ratio of boys and girls is 3:2 and the average marks scored by boys is 42 and that by girls is 46. Then the average marks scored by the whole class is:

If the mean of \(3, 4, 9, 2k, 10, 8, 6\) and \((k + 6)\) is 8, and mode of \(2, 2, 3, 2p, (2p + 1), 4, 4, 5\) and 6 (\(p\) is a natural number) is 4, then the value of \((k - 2p)\) is :