Quantitative Aptitude - Arithmetic Ability Questions

If cotA/√(1 + cot2A) = x, then the value of x is

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?

If a - b = 4 and ab = -3, then what is the value of a3- b3?

What is the value of (cos45° + 1/3) ?

In a company 2/3 of the workers are girls, 1/2 of the girls are married and 1/3 of the married girls live in hostel. If 3/4 of the boys are married and 2/3 of married boys live in hostel. Calculate the part of workers who don’t live in hostel.

Simplify : 132 - 142 + 172 - 250 = ?

A ladder 13 m long reaches a window which is 12 m above the ground on side of a street. Keeping its foot at the same point, the ladder is turned to the other side of the street to each a window 5m high, then the width of the street is :

If p3 - q3 = (p - q) ( (p - q)2 + x p q ) then value of x is