Quantitative Aptitude - Arithmetic Ability Questions

The value of 1+tan2∅(1-sin2∅) is

A train travelling at 76 kmph crosses a 450 m long platform in 27 seconds. What is the length of the train?

If cosec π/4 - ­ sin π/3 = x, then the value of x is

A sphere of radius 5 cm is melted to form a cone with base of same radius. The height (in cm) of the cone is

The compound interest earned in two years at 12% per annum is Rs 10176. What is the sum (in Rs) invested?

Raghavendra sells a machine for Rs 43 lakhs at a loss. Had he sold it for Rs 52 lakh, his gain would have been 5 times the former loss. Find the cost price of the machine.

One of the two inlet pipes works twice as efficiently as the other. The two, working alongside a drain pipe that can empty a cistern all by itself in 8 hours, can fill the empty cistern in 8 hours. How many hours will the less efficient inlet pipe take to fill the empty cistern by itself?

In a mixture, water and milk are in the ratio of 3 : 5. In the second mixture, the ratio of water and milk is 9 : 11. If these two mixtures be mixed to form anew mixture in which water and milk are in ratio 5 : 7, then what is the ratio of these two mixtures in the new mixture?