PT is a tangent to a circle with centre O and radius 6 cm . If PT is 8 cm then length of OP is

In ΔABC , DE || AC. Where D and E are two points lying on AB and BC respectively. If AB = 5 cm and AD = 3 cm, then BE : EC is

The rate of simple interest per annum at which a sum of money double itself in 16 2/3 yrs is

The value of x13+x-13x23-1+x-23

If a + b + c = 0 , then the value of a3 + b3+ c3 is

The rate of simple interest per annum at which a sum of money double itself in 162⁄3 yrs. is

A man travelled a distance of 61 km. in 9 hours , partly by walking at speed of 4 km / hr and partly on bicycle at speed of 9 km / hr. The distance covered by walking is

There is a 4% increase in volume when a liquid freezes to its solid state. The percentage decrease when solid melts to liquid again, is