Quantitative Aptitude - Arithmetic Ability Questions

ΔPQR is right angled at Q. If cotP = 5/12, then what is the value of tanR ?

Find the value of p if ­-3x -­ 11, x + p and 5x + 7 are in arithmetic progression.

What number should be added to each of 4, 16, 18 and 58 so that the resulting numbers will be in proportion in the given order?

If cosθ = x2-y2x2+y2, then the value of cotθ is

If x2 – 12x + 33 = 0, then what is the value of (x – 4)2 + [1/(x – 4)2]?

What is the value of [tan (90 – A) + cot (90 – A)]2/[2 sec2(90 – 2A)]?

What should be the missing digit so that the number 275_476 becomes exactly divisible by 11?

If a + b = 1, then a4 + b4 - a3 - b3 - 2a2b2 + ab is equal to