Aptitude and Reasoning Questions

Two positions of a cube are shown below. What will come opposite to face containing 'B'?

The length, breadth and height of a cuboid are in the ratio 19 : 11 : 13. If length is 30 cm more than height, then what is the volume (in cub.cm) of this cuboid?

In ∆ ABC, the height CD intersects AB at D. The midpoints of AB and BC are P and Q respectively. If AD = 8 cm and CD = 6 cm, then the length of PQ is?

A piece of paper is folded and cut as shown in the question figures. From the given answer figures, indicate how it will appear when opened.

The median of the numbers 14, 12, 12, 16, 13 and 18 is

R and S started a business by investing Rs 165000 and Rs 195000 respectively for the same period of time. If R’s share in the profit earned by them is Rs 11000, then what is the total profit (in Rs) earned by both of them together?

For triangle PQR, find equation of altitude PS if co­-ordinates of P, Q and R are (6,2), (0,3) and (­-4,5) respectively?

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems 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 1 : Some wild are carnivores.
Statement 2 : All wild are lions.

Conclusion I : All carnivores are lions.
Conclusion II : Some lions are carnivores.