Quantitative Aptitude - Arithmetic Ability Questions

The mean of marks secured by 50 students in division A of class X is 61, 25 students of division B is 57 and that of 50 students of division C is 55. What will be the mean of marks of the students of three divisions of Class X?

The sum of a non-zero number and 9 times its reciprocal is 10. What is the number?

Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 16000 for 2 years at 10% per annum. The sum placed on simple interest is:

Yayati sold an item at a loss of 13%. If he had sold it for Rs. 49 more, he would have made a profit of 22%. What should be the selling price of the item to gain a profit of 30%?

What is the area (in sq cm) of a rectangle if its diagonal is 25 cm and one of its sides is 24 cm?

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?

On walking 100 metres towards a building in a horizontal line, the angle of elevation of its top changes from 45 to 60 deg. What will be the height (in metres) of the building?