Quantitative Aptitude - Arithmetic Ability Questions

In an army selection process, the ratio of selected to unselected candidates was 4:1. If 90 less had applied and 20 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?

If a-b=1 and a3-b3 = 61, then the value of ab will be

In the given figure, in a right angle triangle ABC, AB = 12 cm and AC = 15 cm. A square is inscribed in the triangle. One of the vertices of square coincides with the vertex of triangle. What is the maximum possible area (in cm.sq) of the square?

Find out the odd word/letters/number/number pair from the given alternatives.

Manish is four times as efficient as Puneet. Manish takes 90 days less than Puneet to complete a book. If both of them work together, then in how many days the book will be completed?

Bhanu takes a total of 6 hrs 50 min in walking a distance and running back to same place where she started. She could walk both ways in 8 hrs 30 min. The time taken by her to run both ways is :

In the given figure, PQR is an equilateral triangle with side as 12 cm. S and T are the mid points of the sides PQ and PR respectively. What is the area (in sq.cm) of the shaded region?

Rs 18200 is divided among X, Y and Z in the ratio of 1/3 : 1/4 : 1/2. What is the share (in Rs) of X ?