Quantitative Aptitude - Arithmetic Ability Questions

If a+b+c = 0, then (a^3 + b^3 + c^3)^2 = ?

In the following question, select the odd letter/letters from the given alternatives.

The length and breadth of a rectangle are 24 cm and 7 cm respectively. What must be the length of its diagonal (in cm)?

A bus travels 720 km in 20 hours. Calculate its average speed in meters/second.

The ratio of spirit and water in the two vessels is 5 : 1 and 3 : 7 respectively. In what ratio the liquid of both the vessels should be mixed such that a new mixture containing half spirit and half water is obtained?

Suresh goes on a trip on his motor-cycle and rides for 410 kms. If he rides for 5 hours at a speed of 50 km/hr, find at what speed he travels for the remaining 4 hours of the journey?

A rectangular swimming pool of length 30 m and breadth 15 m has a uniformly sloping floor. It is 1 m in depth on one end of its length and 2 m at the other. How much water is needed to completely fill this pool?

If x2+1x2 = 2, then the value of x - 1x is