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?

If x + (1/x) = √13, then what is the value of x5 – (1/x5)?

The income of X, Y and Z are in the ratio of 3 : 4 : 2 and their expenses in the ratio of 5 : 5 : 2. If X saves Rs 3000 out of an income of Rs 18000, then whatwill be the saving (in RS) of Y

What is the difference of the factors of the expression x2 + (1/x2) – 6?

Weights of two friends A and B are in the ratio of 7 : 8. A’s weight increases by 10% and the total weight of A and B increase by 20%. What is the percentageincrease in the B’s weight?

If (x - 13)2 + (y - 4)2 = 0, then the value of y + xy - x ?

If the angle subtended by the radius of the circle and vertex B of the triangle ABC is 400. Then calculate the value of ∠BAC

What is the difference of the cube and square of the common root of (x2 – 8x + 15) = 0 and (y2 + 2y – 35) = 0?