Aptitude and Reasoning Questions

The curved surface area and the slant height of a right circular cone are 99 sq.cm and 9 cm respectively. Find its diameter (in cm)

In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is

A can do a piece of work in 10 days and B can do it in 12 days. They work together for 3 days. Then B leaves and A alone continues. 2 days after that C joins and the work is completed in 2 days more. In how many days can C do it, if he works alone ?

Two rugby players start running from the same place on the pitch. Player A runs 20 m South, then turns to his left and runs 26 m. In the mean while Player B runs 12 m West, then he runs 6 m South, the he turns to his left and runs 38 m. Where is Player A with respect to Player B?

In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion
logically follows the given statements.

Statements:
I. Some girls are clever.
II. All clever are hardworking.

Conclusions:
I. Some girls are not hardworking.
II. Some girls are hardworking.
III. Some hardworking are not girls.

In the given figure, PQ = 30, RS = 24 and OM = 12, then what is the value of ON?

What is the simplified value of cosec6A – cot6A – 3 cosec2A cot2A?

The circumferences of two circles are touching externally. The distance between their centres is 12 cm. The radius of one circle is 7 cm. Find the diameter(in cm) of the other circle.