Aptitude and Reasoning Questions

The radius of the circle circumscribing the three vertices of an equilateral triangle is 12 cm. Determine the height (in cm) of the equilateral triangle

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

If √x ­- √y = 1 , √x + √y = 17 then √xy = ?

A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.
1, 5, 30, 210, 1680, ?

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 cups are plates.
II. All spoons are blue.
III. No plates are spoon.

Conclusions:
I. Some cups are not spoon.
II. Some plates are not blue.
III. Some cups are not blue.
IV. Some blue are not plates.

Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 396, then what is the difference between the first and the third number?

A right circular cylinder is partially filled with water. Two iron spherical balls are completely immersed in the water so that the height of the water in the cylinder rises by 4 cm. If the radius of one ball is half of the other and the diameter of the cylinder is 18 cm, then the radii of the spherical balls are

4*(-­0.1(5.5 + 8.5)) of 0.5 = ?