Quantitative Aptitude - Arithmetic Ability Questions

If a - b = 2 and ab = 15, then what is the value of a3- b3?

If the number 583_437 is completely divisible by 9, then the smallest whole number in the place of the blank digit will be

Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevation of the top of the building from points P and Q are complementary, then what is the height of the building?

The perimeter and the length of one of the diagonals of a rhombus is 34 cm and 8 cm respectively. Find the length of its other diagonal (in cm).

Dalajit lent Rs 10800 to Jaabir for 3 years and Rs 7500 to Kabir for 2 years on simple interest at the same rate of interest and received Rs 1422 in all from both of them as interest. The rate of interest per annum is

Meghnad can do a piece of work in 45 hours. If he is joined by Jayshri, who is 50% more efficient, in what time will they together finish the work?

Which of the following is correct?

What is the value of sin 75°+ sin 15°?