Quantitative Aptitude - Arithmetic Ability Questions

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]?

If XY = a+23 and YX = 13, then find the value of X2 + Y2X2 - Y2.

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?

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

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the

Select the odd letters from the given alternatives.

Two numbers are 40% and 50% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?