Aptitude and Reasoning Questions

A cylindrical vessel of radius 7 cm is partially filled with water. By how much will the water level rise if a sphere of radius 6 cm is completely immersed in this water?

A piece of paper is folded and punched as shown in the figure. Indicate how it will appear when it is opened?

A woman in a shopping complex walks 250 m East, then she turns North and walks 100 m, then she turns West and walks 120 m, then she turns to her left and walks 100 m. Where is she now with reference to her starting position?

Consider the given statement to be true even if they seem to be at variance with the commonly known facts and decide which of the given conclusions logically follows from the given statement.

Statement :

Some tigers are cats. All the cats are rats.

Conclusions :

1. All the rats are cats.

2. Some of the tigers are rats.

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 square root of which of the following numbers is irrational?

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statement to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement:
(I) Government is taking measures for safety of women in multi-dimensional aspects.
(II) Sensitization programmes for awareness are up through various modes of promotion.

Conclusions:
(I) Women helpline has been introduced for 24x7 for helping the females.
(II) The number of rape and extortion cases have reduced in last six months.

A marketing executive goes on his field work and walks 2 km North, then he turns West and walks 6 km, then he turns North and walks 7 km, and then he turns to his right and walks 6 km. Where is he now with respect to his starting position