Quantitative Aptitude - Arithmetic Ability Questions

An angle is thrice its complementary angle. What is the measure of the angle?

Of the 3 numbers whose average is 64, the first number is 1/3 times the sum of other 2. The first number is

If 1/√(1 + cot2A) = x, then value of x is

If four angles of a quadrilateral are (6x-18), (80-4x), (4x+14), (12x-58), then find the value of the smallest angle of the quadrilateral.

Three consecutive natural numbers are such that the square of the greatest is greater than the product of the other two by 19. The smallest of these numbers is

If x2 + ax + b, when divided by x - 3, leaves a remainder of 22 and x2 + bx +a, when divide by x - 3, leaves a remainder of 24, then a + b = ?

Two pipes, when working one at a time can fill a cistern in 2 hrs and 3 hrs, respectively while a third pipe can drain the cistern empty in 6 hrs. All the three pipes were opened together when the cistern was 1/6 full. How long will it take for the cistern to be completely full?

In ΔPQR, ∠QPR = 45° and the bisectors of ∠PQR and ∠PRQ meets at O. What is the value (in degrees) of ∠QOR?