Quantitative Aptitude - Arithmetic Ability Questions

What is the area (in sq cm) of a rhombus if the lengths of the diagonals are 12 cm and 14 cm?

Two pipes of length 1.5 m and 1.2 m are to be cut into equal pieces without leaving any extra length of pipes. The greatest length of the pipe pieces of same size which can be cut from these two lengths will be

The ratio of two numbers is 2 : 3. If the sum of both the numbers is 75, then what is the larger number among both the numbers?

What number should be added to each of the numbers 55, 100, 65 and 116, so that the resulting numbers are in continued proportion?

Expand and simplify (3x + 2)2*(4x -­ 3) -­ (2x3 - 9x2 + 12x -­ 24)

The price of an article is cut by 31%, to restore to its original value, the new price must be increased by

If 2x + 5 > 2 + 3x and 2x -­ 3 ≤ 4x -­ 5, then x can take which of the following values?

AB is the diameter of a circle with center O and P be a point on its circumference. If ∡POA = 120°, then the value of ∡PBO is