Quantitative Aptitude - Arithmetic Ability Questions

The value of aa-b+bb-a is

In an army selection process, the ratio of selected to unselected was 5:1. If 100 less had applied and 20 less selected, the ratio of selected to unselected would have been 6:1. How many candidates had applied for the process?

Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of areas of triangle APQ: triangle ABC is 16:25. Then the ratio of AP:PB is?

Find out the odd word/letters/number/number pair from the given alternatives.

Find out the odd word/letters/number/number pair from the given alternatives.

What is the simplified value of (sin A – cosec A)(sec A – cos A) (tan A + cot A)?

If √(sec2A ­ 1) = x, then the value of x is

If tan π/3c + cosec π/6c = x, then x is