Quantitative Aptitude - Arithmetic Ability Questions

If cosθ1-sinθ+cosθ1+sinθ = 4, then the value of θ (0°<θ<90°)?

If a3 + b3 = 28 and a + b = 4, then what is the value of ab?

Find the greatest number that will divide 390, 495 and 300 without leaving a remainder

Asif is twice as good as workman as Bashir and together they finish a piece of work in 30 days. In how many days will Asif alone finish the work?

A mason can build a wall in 70 hours. After 7 hours he takes a break. What fraction of the wall is yet to be built?

The average of 6 consecutive integers is 15/2. What is the average of last three integers?

3/5 of my current age is the same as 5/6 of that of one of my cousin. My age ten ago will be his age four years hence. My current age is ___ years.

PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If ∠RPQ = 38°, then what is the value (in degrees) of ∠PSR?