Aptitude and Reasoning Questions

Breadth of a rectangle is equal to the diagonal of the square whose side is 2.5√2 cm. Ratio between length and breadth of rectangle is 3 : 1. Find the area of the rectangle (in cm2).

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 perimeter of a semicircle is 108 cm, then find its area (in cm²).

Simple interest on a sum for 18 months at 14% per annum is Rs 1365.What is the value (in Rs) of sum?

Both X and Y together can complete a work in 12 days and Y alone can complete the same work in 30 days. In how many days will X alone complete the work?

In the question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g., 'E' can be represented by 14, 31, etc. and 'R' can be represented by 78, 89 etc. You have to identify the set for the word 'LAND'.

The marked price of a door is Rs 1400. It is sold at a discount of 28%. If the cost price of the door is Rs 700, then what is the profit (in Rs)?

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