Quantitative Aptitude - Arithmetic Ability Questions

The least number which when divides 37044, gives the result a perfect cube, is:

Determine the value of a2+b2a3+b3 when a = 2+√3 and b = 2-√3.

If x/y = 2/3, then what is the ratio of (3x + 2y) and (3x – y)?

A dealer is selling an article at a discount of 5% on the Marked price. If the Marked price is 12% above the cost price and the article was sold for Rs. 532 then the cost price is (in Rs.)

The average cost of 4 items in a shopping list is Rs 1,250. If one more item whose cost is Rs 2,000 is added to the list what will be the new average (in
Rs)?

A can do a work in 20 days and B in 10 days. If they work on it together for 5 days, then what fraction of work is left.

In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QTis 25 cm, then what is the distance (in cm) between the centers O1 and O2 of the two circles?

Keerthana takes 9 hrs 20 min in walking a distance and riding back to same place where she started. She could walk both ways in 11 hrs 15 min. The time taken by her to ride back both ways is