Quantitative Aptitude - Arithmetic Ability Questions

In the given figure, ABCD is a square of side 14 cm. E and F are mid points of sides AB and DC respectively. EPF is a semicircle whose diameter is EF. LMNO is a square . What is the area (in sq.cm) of the shaded region?

In an army selection process, the ratio of selected to unselected was 3:1. If 60 less had applied and 30 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?

The value of x for which the expressions 15x + 4 and 13x - 2 become equal is ______

The mean of 12 observations is 15. One more observation is included and the new mean becomes 16. The 13th observation is

Of the 3 numbers whose average is 40, the first is 1/3 rd the sum of other 2. What is the first number?

Breadth of a rectangle is equal to the diagonal of the square whose side is 2.5√2 cm. Ratio between length and breadth of rectangle is 3 : 1. Find the area of the rectangle (in cm2).

Find the value of x if 1-x24 = 1318