Quantitative Aptitude - Arithmetic Ability Questions

In an army selection process, the ratio of selected to unselected was 3:1. If 80 less had applied and 40 less selected, the ratio of selected to unselected would have been 4:1. How many candidates had applied for the process?

What is the value of  4cos90-A sin390+A - 4sin90+A cos390-Acos180+8A2 ?

A man buys 3 type-I cakes and 6 type-II cakes for Rs. 900. He sells type-I cakes at a profit of 15% and type-II cakes at a loss of 10%. If his overall profit is Rs.30, the cost price (in Rs.) of a type-I and of a type-II cakes is

Surbhi invested Rs.6000 for 5 months and Urba invested Rs.5000 for 6 months in a venture. The ratio in which they will share the profits is

3rd January 2018 was a Wednesday. Which of the following years will also have 3rd January on a Wednesday?

If a merchant offers a discount of 10% on the list price, then she makes a loss of 25%. What % profit or % loss will she make if she sells at a discount of 20% of the list price?

Prabhat has done 1/2 of a job in 12 days. Santosh completes the rest of the job in 6 days. In how many days can they together do the job?

How many job applicants had applied if the ratio of selected to unselected was 19:17. If 1,200 less had applied and 800 less selected, then the ratio of selected to unselected would have been 1:1.