Quantitative Aptitude - Arithmetic Ability Questions

What is the value of Tan 45° - 1/√3 Sec 60°?

If Tan A = 15/8 and Tan B = 7/24, then Cos(A - B) = ?

What is the third proportional to 10 and 20?

In an army selection process, the ratio of selected to unselected was 5:1. If 100 less had applied and 20 less selected, the ratio of selected to unselected would have been 6:1. How many candidates had applied for the process?

How much does one need to add to 2/3 to obtain 3/2?

Among three numbers , second is twice the first and also thrice the third . If the average of the three numbers is 33 , then the largest number is

The average monthly salary of 19 members of a group is Rs. 16000. If one more members whose monthly salary is Rs. 20000 has joined the group, then the average salary of the group is

A train travelling at 76 kmph crosses a 450 m long platform in 27 seconds. What is the length of the train?