Quantitative Aptitude
If x + y + z = 7, xy + yz + zx = 8, then what is the value of x3+ y3 + z3 - 3xyz?
A sum of ₹18,000 becomes ₹21,780 after 2 years on compound interest compounded annually. What will be the compound interest (in ₹) on the same sum for the same period if the rate of interest increases by 5%?
A invested 30% more than B. B invested 40% less than C, who invested ₹8,000. The average of the total amount invested by all of them together (to the nearest ₹) is:
If a³ + b³ = 218 and a + b = 2, then the value of \(\sqrt{(1-ab)}\) is:
From the body of a solid cube of edge 7 cm, a solid sphere is removed. The volume of the remaining solid was found to be \(163\dfrac{1}{3}\) cm³. What is the diameter (in cm) of the sphere? (Take π = \(\dfrac{22}{7}\) )
In the following figure, MN is a tangent to a circle with centre O at point A. If BC is a diameter and ∠ABC = 42°, then find the measure of ∠MAB.