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 sin225°+ sin265°?

A student multiplied a number by 3/10 instead of 10/3. What is the percentage error in the calculation?

In an arithmetic progression if 13 is the 3rd term, -­47 is the 13th term, then ­-17 is which term?

Tapas, Avi and Rishi shared a cake. Tapa had 1/2 of it, Rishi had 1/3 of it, and Avi had the rest. What was Avi's share of the cake?

If 2x-y2+(3y-2z)2=0,then the ratio of x:y:z is

The sum of three numbers is 162. If the ratio of the first number to the second number is 5 : 7 and that of the second number to the third number is 5 :3, then what is the second number?

Two spheres of equal radius are taken out by cutting from a solid cube of side (12 + 4√3) cm. What is the maximum volume (in cm3) of each sphere?