Quantitative Aptitude - Arithmetic Ability Questions

If x3 + y3 + z3 = 3(1 + xyz), P = y + z – x, Q = z + x – y and R = x + y – z, then what is the value of P3 + Q3 + R3 – 3PQR?

If [√(a2 + b2 + ab)] + [√(a2 + b2 – ab)] = 1, then what is the value of (1 – a2 )(1 – b2 )?

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

If the shopkeeper sells an item at Rs 450 which is marked as Rs 600, then what is the discount he is offering?

Compute : 1112 / 139 - 5

A boat covers 143 km upstream in 13 hours and the same distance downstream in 11 hours. What is the speed (in km/hr) of the boat in still water?

Find the odd numbers/letters/numbers from the given alternatives.

Find the value of '?' in 512 × 125 ÷ 15625 = 3125 × 25?