Quantitative Aptitude - Arithmetic Ability Questions

If cot 60° + cosec 60° = x, then the value of x is

A mixture contains spirit and water in the ratio of 3 : 2. If it contains 3 litres more spirit than water, the quantity of spirit in the mixture is

In a mixture, water and milk are in the ratio of 3 : 5. In the second mixture, the ratio of water and milk is 9 : 11. If these two mixtures be mixed to form anew mixture in which water and milk are in ratio 5 : 7, then what is the ratio of these two mixtures in the new mixture?

Find the greatest number among 213, 312, 1, 516

What is the value of [2 sin (45 + θ) sin (45 – θ)]/cos 2θ?

Find two numbers such that their mean proportion is 8 and third proportion is 64.

The co-ordinates of the centroid of a triangle ABC are (1 , -4). What are the co-ordinates of vertex C if co-ordinates of A and B are (3 , -4) and (0 , 5) respectively?

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