Quantitative Aptitude - Arithmetic Ability Questions

On dividing a number by 47, we get 75 as quotient and 18 as remainder. What is the number?

Two chords AB and CD of a circle with centre O intersect at P. If ∠APC = 40°. Then the value of ∠AOC + ∠BOD is

Rs. x invested at 9% simple interest per annum for 5 years yields the same interest as that on Rs. y invested at 6.25% simple interest per annum for 8 years. Find x:y.

A cone of radius 7 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 3.5 cm. What will be the height of water in this vessel?

What is the least number that should be added to the product 11 x 12 x 13 x 14 to make it a perfect square?

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

If x + 3 ≤ 4x + 4 and 5(4 -­ x) ­- 4 ≥ 5x - ­2; then

What is the value of cos 4π/3?