Quantitative Aptitude - Arithmetic Ability Questions

What is the sum of the first 17 terms of an arithmetic progression if the first term is -20 and last term is 28?

The perimeter and the breadth of a rectangle are 68 cm and 10 cm respectively. Calculate the length of its diagonal (in cm).

The variance of a set of data is 121. Then the standard deviation of the data is

If cos -300° = x, then the value of x is

Select the missing number.

If 5x + 4(1 -­ x) > 3x - ­4 > 5x/3 -­ x/3; then x can take which of the following values?

The curved surface area and the slant height of a right circular cone are 858 cm² and 13 cm respectively. Find its diameter (in cm).

A flask has two holes. The 1st hole alone makes the flask empty in 9 minutes and 2nd hole alone makes the flask empty in 16 minutes. If water leaks out at a constant rate, how long in minutes does it take if both the holes together empty the flask?