Quantitative Aptitude - Arithmetic Ability Questions

The areas of a circle and square are equal. What is the square of the ratio of length of diameter to the length of diagonal?

If 3 tan θ = cot θ where 0 < θ < π/2, then what is the value of θ ?

If a - b = 1 and ab = 6, then what is the value of a3- b3?

In what ratio is the segment joining the points (2,5) and (­6,­10) divided by the y­axis?

A vendor buys 12 bananas for Rs 60 and sells 5 bananas for Rs 32. What will be his gain (in %)?

Selling price of a calculator is Rs 13924 and profit percentage is 18%. If selling price is Rs 10266, then what will be the loss percentage?

In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If lengths of PS, SQ and PR are 6 cm, 9 cm and 12.5 cm respectively, what is the length of TR?

Bipul is 16 years younger than Saibal. 12 years hence, Saibal's age will be 1.5 times that of Bipul. Saibal is now ___ years old.