Quantitative Aptitude - Arithmetic Ability Questions

What is the area (in sq cm) of a rhombus if the lengths of the diagonals are 12 cm and 14 cm?

The ratio of three numbers is 5 : 6 : 8. If the sum of the three numbers is 380, then what is the smallest among the three numbers?

If sin (3x ­ 20°) = cos (3y + 20°), then find the value of (x + y).

If p = 99, then the value of p(p2+3p+3) will be

If α + β = 90° and α:β = 2:1, then the ratio of cosα to cosβ 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?

The ratio of the number of marbles that Joyee and Minati had was 5 : 8 while the ratio of the number of marbles that Jacob and Minati had was 7 : 12. What is the ratio of the number of marbles that Joyee and Jacob had?

The ratio between the area of a square and that of a circle, when the length of a side of the square is equal to that of the diameter of the circle, is (take π=22/7)