Quantitative Aptitude - Arithmetic Ability Questions

Which of the following numbers is composite?

For real a, b and c if a2 + b2 + c2 = ab + bc + ca, then find the value of a+b+c2.

From the top of a building, the angles of elevation and depression of top and bottom of a tower are 60 deg and 30 deg respectively. If the height of the building is 5m, then the height of the tower is

The volume of a right circular cone, with a base radius the same as its altitude, and the volume of a hemisphere are equal. The ratio of the radii of the cone to the hemisphere is

 Find the volume (in cm3) of a hemisphere of diameter 42 cm.

What is the reflection of the point (-1 , 3) in the line x = -4?

ΔABC is similar to ΔDEF. Length of AB is 12 cm and length of the corresponding side DE is 8 cm. What is the ratio of Perimeter of ΔABC : Perimeter of ΔDEF?

The square root of which of the following numbers is irrational?