If tan (5x ­- 10°) = cot (5y + 20°), then the value of x + y is

If PA and PB are two tangents to a circle with centre O such that ∡APB = 80°. Then ∡AOP = 

In a triangle ABC, if ∡A +∡C = 140° and ∡A + 3∡B = 180°, then ∡A is equal to

When 2x + 2x = 3, then x3 + 1x + 2 value is

If (x ­- 2) (x -­ p) = x2 - ax + 6, then the value of (a -­ p) is

Alipta got some amount of money from her father. In how many years will the ratio of the money and the interest obtained from it be 10:3 at 6% simple interest per annum?

A man covers a total distance of 100 km on bicycle. For the first 2 hours, the speed was 20 km/hr and for the rest of the journey, it came down to 10 km/hr. The average speed will be

The price of rice has increased by 60%. In order to restore the original price, the new price must be reduced by