Aptitude and Reasoning Questions

Two circles touch each other at point X. Two common tangents of the circles meet at point P and none of the tangents passes through X. These tangents touch the larger circle at points B and C. If the radius of the larger circle is 15 cm and CP = 20 cm, then what is the radius (in cm) of the smaller circle?

The following Bar-diagram shows total number of males and females in 5 different organisations. Study it carefully to answer the questions.

What is the ratio of the number of females from the organisations B and C to the number of males from the organisations D and E?

The co-ordinates of the centroid of a triangle ABC are (2 , 2). What are the co-ordinates of vertex C if co-ordinates of A and B are (7 , -1) and (1 , 2) respectively?

An angle is smaller than its supplementary by 30°. What is the measure of the angle?

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 I: Some rugs are carpets

Statement II: No mats are rugs

Conclusion I: All carpets are mats

Conclusion II: Some carpets are rugs

The product of two numbers is 0.324. One of the numbers is 1.2. What is the other number?

The below figure is embedded in one of the four answer figures. The correct figure containing the above problem figure is

97 x 97 = ?