Quantitative Aptitude - Arithmetic Ability Questions

In an army selection process, the ratio of selected to unselected was 3:1. If 60 less had applied and 30 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?

If sinC + sinD =X, then the value of X is?

Out of two numbers, 65% of the smaller number is equal to 45% of the larger number. If the sum of the numbers is 2574, then what is the value of larger number?.

If (36 - 16x) - (4x - 8) = 4, then the value of x is

If a3+1a3 = 2, then the value of a2+1a?

For triangle PQR, what is the equation of altitude PS if co­ordinates of P, Q and R are (5,1), (0,­4) and (­2,3) respectively?

If (1 - sinA)/(1 + sinA) = x, then x is

In the following question, select the odd number from the given alternatives.