Exams

A water tank has two holes. The 1st hole alone makes the tank empty in 3 min and 2nd hole alone makes the tank empty in 5 min. If water leaks out at a constant rate, how long in minutes does it take if both the holes together empty the tank?

A piece of cloth costs Rs. 35. If the piece were 4 m longer and each meter were to cost Rs. 1 lesser, then the total cost would remain unchanged. How long is the piece of cloth?

Two pipes A and B can fill an empty cistern in 18 and 27 hours, respectively. Pipe C can drain the entire cistern in 45 hours when no other pipe is in operation. Initially, when the cistern was empty Pipe A and Pipe C were turned on. After a few Pipe A was turned off and Pipe B was turned on instantly. In all, it took 55 hours to fill the cistern. For how many hours was Pipe B turned on?

The 3rd and 6th term of an arithmetic progression are 19 and 37 respectively. What is the 13th term?

In ΔDEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 3:2 and HF is 8 cm, then the length of DF is

The pie chart shows the results of an online survey which asked people about their favourite travel destination. Study the diagram and answer the following questions.

What is the total number of people who have responded to the survey?

In the following question, select the odd word from the given alternatives.

What is the slope of the line perpendicular to the line passing through the points (­-4,5) and (3,­-2)?