O is the centre of this circle. Tangent drawn from a point P, touches the circle at Q. If PQ = 24 cm and OQ = 10 cm, then what is the value of OP? 

Mohan lent some amount of money at 9% simple interest and an equal amount of money at 10% simple interest each for two years. If his total interest was Rs. 760, what amount was lent in each case?

Two candidates fought an election. One of them got 65% of the total votes casted and won by 420 votes. What is the total number of votes polled if no vote is declared invalid?

 if $$x^4+{16\over x^4}=15617, x>0$$ then find the value of $$x+{2\over x}$$

If 27(x+y)³ – 8(x-y)³=(x+5y)(Ax²+By²+Cxy), then what is the value of (A+B-C)?

In △ABC, D and E are the mid points of sides BC and AC, respectively. If AD = 10.8 cm, BE = 14.4 cm and AD and BE intersect at G at a right angle, then the area (in cm²) of △ABC is:

A person could save 20% of his income. A year later, his income increased by 25% but he could save the same amount only as before. By what percentage has his expenditure increased?

If the total surface area of a sphere of radius r cm is equal to the total surface area of a cube of side s cm, which of the following is true?