Quantitative Aptitude - Arithmetic Ability Questions

What is the sum of the first 11 terms of an arithmetic progression if the 4th term is 11 and the 7th term is -4?

Two pipes P and Q can fill an empty tank in 25 hours and 20 hours respectively. Pipe R alone can empty the completely filled tank in 50 hours. Firstly both the pipes P and Q are opened and after 8 hours pipe R is also opened. What will be the total time (in hours) taken to completely fill the tank?

A shop keeper cheats to the extent of 10% while buying and selling fruits, by using tampered weights. His total gain, in %, is:

If n + n2 + n4 + n8 = 45, then find the value of 'n' which will satisfy the equation.

A number is greater than twice its reciprocal by 31/4. Find the number.

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

The slope of the line passing through the points (2,-1) and (x,5) is -1. Find x?

In ΔABC measure of angle B is 90°. If cosecA = 13/12, and AB = 10cm, then what is the length (in cm) of side AC?