Quantitative Aptitude - Arithmetic Ability Questions

In a circle with centre O, AB is a diameter and CD is a chord which is equal to the radius OC. AC and BD are extended in such a way that they intersect each other at a point P, exterior to the circle. The measure of ∠APB is

Given: 5x -3(2x-7) > 3x - 1 < 7 + 4x; then x can take which of the following values?

What is the value of {sin (90 – x) cos [π – (x – y)]} + {cos (90 – x) sin [π – (y – x)]}?

What is the value of tan 6° tan 36° tan 84° tan 54° tan 45°?

Expand and simplify (x + 4)2 + (x -­ 2)2

If sin ­-330° = x, then the value of x is

Find the value of 'a' for which x+3x+a24 is a perfect square.

The sum of three consecutive natural numbers each divisible by 5, is 225. The largest among them is