Aptitude and Reasoning Questions

What is the value of [(cos 7A + cos 5A)÷(sin 7A – sin 5A)]?

X and Y start from the same point. X walks 40 m north, then turns West and walks 80 m, then turns to his right and walks 50 m. At the same time, Y walks 90 m North. Where is Y now with respect to the position of X?

A series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series.
49, 64, ?, 100, 121

What number should come in place of ?

In the question below are given three statements followed by two conclusions which are numbered as I, and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements, disregarding commonly known facts.

Statements:
Some pages are papers.
No page is a book.
All books are pencils.

Conclusions:
I. All books can never be papers.
II. All pencils are papers is a possibility.

A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series. 12, 60, 240, 720, ?

The radius of base of a solid cylinder is 7 cm and its height is 21 cm. It is melted and converted into small bullets. Each bullet is of same size. Each bullet consisted of two parts viz. a cylinder and a hemisphere on one of its base. The total height of bullet is 3.5 cm and radius of base is 2.1 cm. Approximately how many complete bullets can be obtained?

A kite is flying in the sky. The length of string between a point on the ground and kite is 420 m. The angle of elevation of string with the ground is 30 deg. Assuming that there is no slack in the string, then what is the height (in metres) of the kite?