Quantitative Aptitude - Arithmetic Ability Questions

If a is positive and a2+1a2 = 7, then a3 + 1a3 = ?

Find the odd words/letters/number from the given alternatives.

In what ratio is the segment joining the points (2,5) and (­6,­10) divided by the y­axis?

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?

Sumit and Amit undertook a work for Rs 7200. Sumit alone can do the work in 5 days and Amit alone can do the work in 4 days. If they work together,then what will be the difference (in Rs.) in the amount they receive?

If (1 -­ cosA)/(1 + cosA) = x, then the value of x is

Triangle DEF is right angled at E. If cot D = 5/12, then what is the value of sin F?

If cosec π/4 - ­ sin π/3 = x, then the value of x is