Quantitative Aptitude - Arithmetic Ability Questions

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

What is the value of √[(1 + sinA)/(1 -­ sinA)]?

Find the fraction which bears the same ratio to 1/27 that 3/7 does to 5/9 .

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?

ΔXYZ is right angled at Y. If m∠X = 30 deg, then find the value of (sinZ + √3).

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

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

What is the slope of the line perpendicular to the line passing through the points (8,­2) and (3,­1)?