Quantitative Aptitude - Arithmetic Ability Questions

Two spheres of equal radius are taken out by cutting from a solid cube of side (12 + 4√3) cm. What is the maximum volume (in cm3) of each sphere?

If a, b and c are positive integers such that 1a+1b+1c+12 = 1623, then what is the mean of a, b and c?

Expand and simplify (2x + 5)2 *(4x ­- 1) -­ (3x3 - 16x2 + 25x -­ 21)

70% of the cost price of a article is equal to the 40% of its selling price. What is the profit or loss percentage?

Divide 150 into two parts such that the sum of their reciprocals is 3/112. Calculate both the parts.

The sum of money that will yield Rs. 60 as simple interest at 6% per annum in 5 years is

If 2 T-shirts are offered free on purchase of 5 T-shirts, what is the effective discount (in %) on each T-shirt?

∆PQR is right angled at Q. If sinP = 12/13, then what is the value of tanR?