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?

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 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?

Manish lent out Rs 20000 in two parts. He put out first part at 6% and the second part at 8% interest. The yearly average interest comes out to be 6.4%.What are the amounts (in Rs) that were lent at 6% and 8% respectively?

A spherical glass vessel has a cylindrical neck 7 cm long and 4 cm in diameter. The diameter of the spherical part is 21 cm. Find the quantity of water it can hold.