Aptitude and Reasoning Questions

In each of the following questions three statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given three statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.
Statements:

All books are novels.
No novel is a magazine.
All magazines are newspaper.
Conclusions: 

I.No book is a magazine.
II. Some newspaper are novels.

A solid sphere of radius 6 cm is melted and re-casted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder ?

If 2y cosθ = x sinθ and 2x secθ - y cosecθ = 3 then what is the value of x2+4y2

Rearrange the jumbled letters to make meaningful words and then select the one which is different.

If P = 5X and Q = X, then P is how much percentage more than Q?

A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.

730, 1001, 1332, 1729, ?

Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 396, then what is the difference between the first and the third number?

A girl is standing facing towards the south. She turns 135 degree in the anticlockwise direction and then again takes a 180 degree turn in the anticlockwise direction. Which direction is she facing now ?