In the given figure, O is the center of the circle. PT and PQ are tangents to the circle from an exterior point P. If angle TPQ = 70°, find the angle TRQ.

The weights of 150 mangoes were recorded as given below :

Calculate the mean weight (to the nearest gram) by step-deviation method.

In the given figure, AB || CD, AB = 12 cm, OB = (3x + 3) cm, CD = 5x cm and OC = (6x + 1) cm. Find the value of x.

A piece of cloth costs ₹ 200. If the piece were 5 m longer and each metre of cloth costs ₹ 2 less, the cost of piece would have remained unchanged. How long is the piece and what is its original rate per metre ?