Quantitative Aptitude - Arithmetic Ability Questions

The ratio of spirit and water in the two vessels is 5 : 1 and 3 : 7 respectively. In what ratio the liquid of both the vessels should be mixed such that a new mixture containing half spirit and half water is obtained?

If a + a2 + a3 – 1 = 0, then what is the value ofa3 + (1/a)?

The ten's digit of a 2­digit number is greater than the units digit by 4. If we subtract 36 from the number, the new number obtained is a number formed by interchange of the digits. Find the number.

Veer spends 15% of his monthly income on the house rent and 60% of the rest on household expenditure. If he saves Rs. 2210, what is his monthly income?

If sinθ+cosθsinθ-cosθ=3,then the value of sin4θ-cos4θ is

If (X/4) = (Y/5) = (Z/9), then what is X : Y : Z?

A triangular prism has 9 edges. How many vertices does it have?

If 4(2x - ­4) -­ 2 > 3x -­ 1 ≥ 4x - ­7, then x can take which of the following values?