Quantitative Aptitude - Arithmetic Ability Questions

What will be the value of a3+b3, if a2+b2=32 and a+b=8 ?

In the following question, select the odd letter/letters from the given alternatives.

If the angles of a triangle are in the ratio of 2 : 3 : 7, then find the ratio of the greatest angle to the smallest angle.

If a = 5, b = 4, c = 8 then find the value of (a3 + b3 + c3 - 3abc)/(ab + bc + ca - a2 - b2 - c2)

If 2x -3(x + 2) < 5 - 2x < -x + 2, then find the value of x.

The measures of the three angles of a triangle are in the ratio 1:2:3. What is the measure of the biggest angle?

What is the distance between the points (4,­-8) and (­-2,0)?

The point P(3,­-2) divides the segment joining the points (x,0) and (0,y) in the ratio 1:3. Find x and y?