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?

In Δ ABC , if ∠BAC = 90° and AB = AC , then ∠ABC is

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?

If R019 is divisible by 11, find the value of the smallest natural number R?

In a fraction when 3 is added to its numerator and denominator it becomes 4/5. And it becomes 1/2 when 2 is subtracted from both the numerator and denominator. Find the fraction.

For triangle PQR, find equation of altitude PS if co-­ordinates of P, Q and R are (1,2), (2,­-1) and (0,5) respectively?

How many numbers divisible by 125 can be written by using all the digits 2,3,8,7,5 exactly once?

The length of one side and the diagonal of a rectangle are 7 cm and 25 cm respectively. Find its area (in cm²)