Quantitative Aptitude - Arithmetic Ability Questions

P and Q are at a distance of 240 km from each other at 9:00 a.m. After 1 hour, P starts moving towards Q at a speed of 25 km/hr. At 11 a.m. Q startsmoving towards P at the speed of 18 km/hr. At what time (in p.m.) will they meet?

Sachin lent out Rs 60000 in two parts, first at 4% and the second at 10% interest. The yearly average interest comes out to be 6.4%. What are the amounts (in Rs) that were lent at 4% and 10% respectively?

Rameshwar goes on a trip on his motor-cycle and rides for 405 kms. If he rides for 6 hours at a speed of 45 km/hr, find at what speed he travels for the remaining 3 hours of the journey?

If a - b = 1 and ab = 6, then what is the value of a3- b3?

What is the reflection of the point (5, -2) in the line y = -1?

The diagonal of a square equals the side of an equilateral triangle. If the area of the square is 12 sq cm, what is the area of the equilateral triangle?

In ΔDEF measure of angle E is 90°. If cosD = 8/17, and DE = 16cm, then what is the length (in cm) of side DF?

The equation of a line is given by 4y-6x+9=0. Find the slope of other line which is perpendicular to it.