Quantitative Aptitude - Arithmetic Ability Questions

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 = ?

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

A man buys 10 oranges for Rs. 3 and sells 8 for Rs. 3. Calculate his gain percent.

If sinθ+ cosecθ=2, then the value of sin-7∅+cosec7∅ is

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

In what ratio must a mixture of 11% sugar strength be mixed with that of 25% sugar strength so as to get a new mixture of 13% sugar strength?

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

If x - √x = 20; Find the value of √x.