Quantitative Aptitude - Arithmetic Ability Questions

Point P (8 , 5) is the midpoint of segment AB. Co-ordinates of A are (5, y) and B are (x, -3). What is the value of x?

If sin π/6 + sec π/6 = x, then x is

What is the value of Cot 60°- Sec 45°?

The average of 8 consecutive integers is 23/2. What is the average of first three integers?

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

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?

The incomes of S and T are in the ratio 3 : 4 and their expenditures are in the ratio 1 : 1. If S saves Rs 4000 and T saves Rs 22000, then what will be the income (in Rs) of S?

If x2+y2+z2-8x+6y-4z+29 = 0, then find the value of z(x+y).