Quantitative Aptitude - Arithmetic Ability Questions

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

If x = 313- 3-13, then 3x2 + 9xis equal to

If 3x -­ 7 = 5x ­- 1, then the numerical value of (x ­- 4)2 is 

If P travelled the first half of a journey at 40 kmph and the the remaining distance at 50 kmph, what is the average speed of his travel?

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

A sum of Rs 8000 is divided into two parts. The simple interest on first part at the rate of 21% per annum is equal to the simple interest on second part at the rate of 35% per annum. What is the interest (in Rs) of each part?

A sum fetched a total simple interest of Rs 5320 at the rate of 7% per year in 5 years. What is the sum?

The ratio of spirit and water in the two vessels is 5 : 1 and 3 : 7 respectively. In what ratio the liquid of both the vessels should be mixed such that a new mixture containing half spirit and half water is obtained?