Quantitative Aptitude - Arithmetic Ability Questions

Which of the following condition is True about the similarity of triangle ABC & DEF given below?

Find the average of all prime numbers between 20 and 50.

A kite is flying at a height of 50m. If the length of string is 100 m then the inclination of string to the horizontal ground in degree measures is

What is the value of 2 consecutive natural numbers, sum of whose squares is 145?

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?

From a solid cube of side 7 cm, a conical cavity of height 7 cm and radius 3 cm is hollowed out. Find the volume of remaining solid?

If the number x3451 is divisible by 3, where x is a digit, what can be the sum of all such values of x?

Two trains are moving in the same direction at the speed of 24 km/hr and 50 km/hr. The time taken by faster train to cross a man sitting in the slower train is 72 seconds. What will be the length (in metres) of the faster train?