Exams

If √[(1 + cosA)/2] = x, then find the value of x.

In the following question, a sentence has been given in Direct/Indirect speech. Out of the four alternatives suggested, select the one which best expresses the same sentence in Indirect/Direct speech.

He said to the principal, "I have made a mistake."

A car covers the first 30 km at a speed of 60 kmph and the next 20 km at 80 kmph. Find the average speed.

The circumference of a circle is 110 cm. Find its radius (in cm).

A pipe, working at full speed, can fill an empty cistern in 1 hour. However, during the first hour it worked at one-twelfth of its capacity, during the second hour at one-ninth of its capacity, during the third hour at one-sixth of its usual capacity and during the fifth hour it was only one -third as efficient as it was supposed to be. A second pipe also displayed similar performance, but if it worked at full speed would have filled the empty cistern in 2 hours. Together with a drain pipe that drained water out of the tank at a constant rate, the empty cistern could be filled in 5 hours, all the three pipes working concurrently. How many hours will it take the drain pipe to empty the filled cistern if no other pipe was functioning during the time?

If the angles of a triangle are in the ratio of 1 : 4 : 7, then find the ratio of the greatest angle to the smallest angle.

The passenger reservation system of the Indian Railways is designed by

Find the acceleration (in m/s2) produced in a body of mass 10 kg when a force of 20 N is applied on it.