Quantitative Aptitude - Arithmetic Ability Questions

Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, then what is the area (in sq.cm) of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus?

If PA and PB are two tangents to a circle with centre O such that ∡APB = 80°. Then ∡AOP = 

The base of a prism is in the shape of an equilateral triangle. If the perimeter of the base is 18 cm and the height of the prism is 20 cm, then what is the volume (in cm3) of the prism?

Select the odd word/letters/number/number pair from the given alternatives.

$$\begin{gathered} If (x – 2)2 + (y + 3)2 + (z – 15)2 = 0, then what is the value of \\ x + y + z – 5? \end{gathered}$$

The area of a square is equal to its side, if the side is 1 unit.

What is the value of sec 4π/3?

Expand and simplify (x + 5)2 + (x - 3)2