Quantitative Aptitude - Arithmetic Ability Questions

The volume of a right circular cone, whose radius of the base is same as one-third of its altitude, and the volume of a sphere are equal. The ratio of the radius of the cone to the radius of the sphere is :

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:  All bins are baskets

Statement II:  No buckets are bins

Conclusion I:  All baskets are buckets

Conclusion II:  All buckets are baskets

Find the total surface area (in cm2 ) of a hemisphere of diameter 42 cm.

The lengths of diagonals of a rhombus are 24cm and 10cm the perimeter of the rhombus (in cm ) is :

The areas of two similar triangles ΔABC and ΔPQR are 36 sq cms and 9 sq cms respectively. If PQ = 4 cm then what is the length of AB (in cm)?

If 2cosAsinB = x, then the value of x is?

A sphere of radius 5 cm is melted to form a cone with base of same radius. The height (in cm) of the cone is

The ratio of two positive numbers is 3:4. The sum of their squares is 400. What is the sum of the numbers?