Quantitative Aptitude - Arithmetic Ability Questions

In a rhombus _____.

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

What is the total surface area (in sq cm) of a hollow cylinder open at both ends, if its length is 22 cm, external radius is 7 cm and thickness is 1 cm? (Take π = 22/7)

A and B together can finish a work in 30 days. They worked for it for 20 days and then B left the work. The remaining work was done by A alone in 20 days more. In how many days can A alone finish the work?

Length of three line segments isgiven. Is construction of a triangle possible with the segments in the given cases?

If 3x + 2 ≥ x - ­1 and 2x -­ 4 ≤ 2 - ­x/3; then x can take which of the following values?

If 5x ­- 3 ≥ 3 + x/2 and 4x -­ 2 ≤ 6 + x; then x can take which of the following values?

Select the odd word/letters/number/number pair from the given alternatives.