Quantitative Aptitude - Arithmetic Ability Questions

If a3 + b3 = 28 and a + b = 4, then what is the value of ab?

If cot(A/2) = x, then the value of x is

A can do a work in 20 days and B in 50 days. If they work on it together for 5 days, then what fraction of work is left?

A vendor buys bananas at 12 for Rs 50 and sells at 5 for Rs 40. What will be the gain (in %)?

In the following question, select the odd number from the given alternatives.

In the given figure, PQRS is a quadrilateral. If QR = 18 cmand PS = 9 cm,then what is the area (in sq. cm) of quadrilateral PQRS?

Nine years later, age of B will be equal to the present age of A. Sum of A's age 3 years later and B's age 4 years ago is 76. If C is half of the present age of B, then what will be C's age (in years) after 10 years?

Sashi can do a piece of work in 20 days. Tanya is 25% more efficient than Sashi. The number of days taken by Tanya to do the same piece of work is: