Aptitude and Reasoning Questions

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?

B is thrice as efficient as A and C is 0.75 times as efficient as A. What is the ratio of number of days taken by A, B and C when they work individually?

If cosAcotA/(1 -­ sinA) = x, then the value of x is

One diagonal of a rhombus is half the other. If the length of the side of the rhombus is 20 cm, what is the area of the rhombus?

What is the reflection of the point (2, -3.5) in the y-axis?

Select the odd letters from the given alternatives.

If a mirror is placed on the line MN, then which figure is the right image of the given figure?

A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.
NM, PK, SI, ?