Quantitative Aptitude - Arithmetic Ability Questions

A water tank has two holes. The 1st hole alone makes the tank empty in 3 min and 2nd hole alone makes the tank empty in 5 min. If water leaks out at a constant rate, how long in minutes does it take if both the holes together empty the tank?

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

In a triangle ABC, ∠A = 70°, ∠B = 80° and D is the incentre of ΔABC. ∠ACB = 2x° and ∠BDC = y°. The values of x and y, respectively are

What is the sum of the measures of all the interior angles of a regular polygon of 5 sides?

Point A (2, 1) divides segment BC in the ratio 2:3. Co-ordinates of B are (1, -3) and C are (4, y). What is the value of y?

What smallest number should be added to the sum of squares of 15 and 14, so that the resulting number is a perfect square?

How many prime numbers are there between the positive integers 60 and 100?

The two roots of an quadratic equation are given as x = 2/3 and x = -1/2. The equation can be written as