Quantitative Aptitude - Arithmetic Ability Questions

In ΔABC, ∠B is right angle, D is the mid point of the side AC. If AB = 6 cm, BC = 8cm, then the length of BD is

Δ DEF is right angled at E. If m∠F = 45°, then what is the value of 2 Sin F x Cot F?

What is the age of the eldest sister if, the sum of ages of 5 sisters born at the intervals of 3 years each is 50 years?

Present age of R and S are in the ratio of 3 : 2 respectively. If the present age of H is 117 years and R’s present age is 4/13 of H’s present age, then after how many years the ages of R and S would be in the ratio of 15 : 11?

The length of one side and the diagonal of a rectangle are 8 cm and 17 cm respectively. Find its area (in cm2).

A 25m long ladder is rested on a wall. The foot of the ladder is 7m away from the wall. If the end of the ladder (resting on the wall) slides down 4m, then how far will its foot move away?

The difference between simple and compound interest (compounded annually) on a sum of money for 3 years at 10% per annum is Rs. 93. The sum (in Rs.) is:

A sum becomes 1.69 times of itself in 2 years when invested at compound interest. What is the per annum rate of interest (in percentage)?