Quantitative Aptitude - Arithmetic Ability Questions

If (x – y) = 7, then what is the value of (x – 15)3 – (y – 8)3?

If 2x+29x = 4, then the value of 27x3+127x3

The sum of the lengths of the edges of a cube is equal to the perimeter of a square. If the numerical value of the volume of the cube is equal to the numerical value of the area of the square, then the length of one side of the square is

A bus moves at a speed of 84 km/hr after repairing and moves at a speed of 56 km/hr before repairing. It covers 2x distance in 8 hours after repairing.How much time (in hours) will it take to cover x distance before repairing?

Two buses are moving towards each other with speed of 20 km/hr and 34 km/hr respectively. What will be the distance (in metres) between the two buses one second before they collide?

Two cyclists P and Q cycle at 20 km/hr and 25 km/hr towards each other. What was the distance (in kms) between them when they started if they met after 56 minutes?

The ratio of two numbers is 3 : 7. If their product is 1344, then what is the sum of both the numbers?

AB is a diameter of a circle. C is a point on the tangent drawn at A . If AB = 8 cm and AC = 6 cm , then the length of BC is