Quantitative Aptitude - Arithmetic Ability Questions

Two fractions are such that their product is ­4 and sum is ­32/15. Find the two fractions.

X and Y are two alloys which are prepared by mixing zinc and aluminium in the ratio of 1 : 4 and 11 : 8 respectively. If equal quantities of alloys are melted to form a third alloy Z then what is the ratio of zinc and aluminium in alloy Z?

A person borrows some money for 8 years at a rate of simple interest. If the ratio of principal and total interest is 5 : 8, then what is the rate ( inpercentage) of interest?

If  tan2A / (secA -­ 1)2 = x, then the value of x is

Two equal circles intersect so that their centres, and the points at which they intersect form a square of side 1 cm. The area (in sq.cm) of the portion that is common to the circles is

By increasing the price of entry ticket to a fair in the ratio 7:17, the number of visitors to the fair has decreased in the ratio 9:5. In what ratio has the total collection increased or decreased?

What is the value of (3/5 + 7/9)?

If the standard deviation of a population is 6.5, what would be the population variance?