Quantitative Aptitude - Arithmetic Ability Questions

What is the value of sin 5π/3?

Two students appeared for an examination. One of them secured 13 marks more than the other and his marks were 76% of the sum of their marks. The marks obtained by them are

Given that tan(θ + 15°) = √3. Then the value of θ 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?

In a Rhombus ABCD, measure of angle CAB is 25°, what is the measure of angle ABC?

If a + b = 1 and ab = -6, then what is the value of a3+ b3?

If cos 45° - ­ sec 30° = x, then value of x is

What is the equation of line whose slope is -1/2 and passes through the intersection of the lines x - y = -1 and 3x - 2y = 0?