Quantitative Aptitude - Arithmetic Ability Questions

9997 x 10003 = ?

To travel 672 km, an Express train takes 14 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 8 hours less than Rajdhani. The speed of Rajdhani is

A sum of money was invested at the rate of 7.5% S.I. per annum for 4 years. If the investment was for 5 years, the interest earned would have been Rs. 375 more. What was the initial sum invested?

A batsman scores 87 runs in the 21st match of his career. His average runs per match increases by 2. What was his average before the 21st match.

What is the remainder when 6910 is divided by 81?

If xy = -30 and x2 + y2 = 61, then find the value of (x + y).

If p/q = (x+3)/(x-3), then what is the value of p2+q2p2-q2 ?

The area of the largest sphere ( in cm2) that can be drawn inside a square of side 18 cm is