In triangle ABC a straight line parallel to BC intersects AB and AC at D and E respectively. If AB = 2AD then DE : BC is

If average of two x and $$1\over x$$ (where x ≠ 0) is A, what will be the average of x³ and $$1\over {x^3}$$?

 If $$ x=\sqrt{(1.96)}-\sqrt{(0.04)}$$ then the value of x is

A shopkeeper bought 80 pens in Rs. 400. He sold 40 pens at 60% profit and sold the remaining pens at 20% profit. If he had sold all the pens at a 15% profit, how much less profit would he have made?

The shadow of a tower when the angle of elevation of the sun is 45 °, is found to be 10 m longer that when it was 60 °. The height of the tower is 

At the rate of 8 % simple annual interest, if an amount becomes Rs. 819 in 3 years and 3 months, then what was the original amount?

Two numbers are 90 % and 75 % lesser than a third number. By what % should the first number be increased so that it becomes equal to the second number? 

Find the area of triangle whose medians are 8 cm, 15 cm and 17 cm respectively?