Quantitative Aptitude - Arithmetic Ability Questions

If D and E are points on the sides AB and AC respectively of a triangle ABC such that DE||BC. If AD = x cm, DB = (x – 3) cm, AE = (x + 3) cm and EC= (x – 2) cm, then what is the value (in cm) of x?

The average of 17 results is 60. If the average of first 9 results is 57 and that of the last 9 results is 65, then what will be the value of 9th result?

A man buys 7 shirts at Rs 300 each, 2 trousers at Rs 450 each and 1 pair of shoes at Rs 500 each. What is the average expenditure (in Rs) per article?

In the given figure, P  is the center of the circle. If QS = PR, then what is the ratio of angles RSP to the TPR ?

What is the value of [(sin x + sin y) (sin x – sin y)]/[(cosx + cosy) (cosy – cosx)]?

If sinA/(1 + cosA) = x, then x is

sin(A+B) -­ sin(A-­B) is equal to

If 4 + 3x ≤ 6 + x and 3x + 5 > 2 + 2x; then x can take which of the following values?