Quantitative Aptitude - Arithmetic Ability Questions

In triangle DEF measure of angle E is 90 deg. If cotD = 5/12 and DE = 1 cm, then what is the length (in cm) of side EF?

The 3rd and 6th term of an arithmetic progression are 19 and 37 respectively. What is the 13th term?

Compute : (50 + 0.5 x 20) / 0.7

If in-radius of an equilateral triangle is 3 cm. Calculate the perimeter (in m) of the equilateral triangle.

From a solid cube of side 7 cm, a conical cavity of height 7 cm and radius 3 cm is hollowed out. Find the volume of remaining solid?

The lengths of two parallel sides of a trapezium are 21 cm and 9 cm. If its height is 10 cm, then what is the area (in cm2) of the trapezium?

What is the slope of the line perpendicular to the line passing through the points (­6,3) and (2,7)?

A cylindrical vessel of radius 4 cm contains water . A solid sphere of radius 3 cm is dipped into the water until it is completely immersed . The water level in the vessel will rise by