Quantitative Aptitude - Arithmetic Ability Questions

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

There were 24 studentsina class. One of them, who was 18 years old, left the class and his place was filled up by a new comer.Ifthe average of the class was thereby lowered by 1 month, the age of new comer is-

Iftan 450=cot∅, then the value of ∅, in radians is 

Simplify (533bxaz)/(41ab)

If cot ­-4π/3 = x, then the value of x is

If x + 1x = 3, then x18 + x12 + x6 + 1 value is

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

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