Aptitude and Reasoning Questions

The tangents drawn at points A and B of a circle with centre O, meet at P. If ∠AOB = 120° and AP = 6 cm, then what is the area of triangle (in cm2) APB?

From the given answer figures, select the one in which the question figure is hidden/embedded. 

The area of a circle is 38.5 cm2. Find its circumference (in cm).

In the following question, select the odd word pair from the given alternatives

Two fractions are such that their product is ­2/5 and sum is 1/15. What are the two fractions.

A tent is to be built in the form of a cylinder of radius 5 m surmounted by a cone of the same radius. If the height of the cylindrical part is 6 m and slant height of the conical part is 10 m, how much canvas will be required to build the tent? Allow 20% extra canvas for folding and stitching. (Take π = 22/7)

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem 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) The DRDO has tested the Smart Anti Airfield Weapon from an Indian Air Force aircraft.
(II) The lightweight high­precision guided bomb is one of the world class weapons systems.

Conclusions:
(I) DRDO Chairman Dr. S. Christopher congratulated the DRDO and the IAF teams for the successful mission.
(II) The test was carried out by IAF's Aircraft and System Testing Establishment.

If the side AB of an equilateral triangle ABC is equal to 12 cm. Calculate the length( in cm) of the AO, if O is the centroid of the triangle.