Two guns were fired from the same place at an interval of 13 minutes but a person in a train approaching the place hears the second shot 12 minutes 30 seconds after the first. Find the speed of train if sound travels at 330 metres per second.

A and B together can complete a piece of work in 3 days. They start together. But, after 2 days, B left the work, if the work is completed after 2 next days. B alone could do the work in

If x cos²30⁰. sin60⁰=$${tan^2{45}^0.sec60^0}\over cosec\ 60^0$$ then the value of x : 

Rahul, Shyam and Rohan invested capital in the ratio of 2:3:4 for the time period of 6:4:3. Find the ratio of profit distributed?

In what time will ₹ 64,000 amount to ₹ 68,921 at 5 % per annum interest being compounded half yearly? 

Directions-Study the following diagram and answer the four questions.

The range of marks obtained by maximum no. of students is

If a+b=2c, find $${a\over a-c}+{c\over b-c}?$$

The average weight of three men is increased by 4 kg when one of them, whose weight is 100 kg, is replaced by another man. What is the weight of the new man?