Quantitative Aptitude - Arithmetic Ability Questions

What is the value of Cot 45° - (1/√3)Cosec 60°?

The 3rd and 9th term of an arithmetic progression are -8 and 10 respectively. What is the 16th term?

On dividing a number by 47, we get 75 as quotient and 18 as remainder. What is the number?

A pipe, working at full speed, can fill an empty cistern in 1 hour. However, during the first hour it worked at one-twelfth of its capacity, during the second hour at one-ninth of its capacity, during the third hour at one-sixth of its usual capacity and during the fifth hour it was only one -third as efficient as it was supposed to be. A second pipe also displayed similar performance, but if it worked at full speed would have filled the empty cistern in 2 hours. Together with a drain pipe that drained water out of the tank at a constant rate, the empty cistern could be filled in 5 hours, all the three pipes working concurrently. How many hours will it take the drain pipe to empty the filled cistern if no other pipe was functioning during the time?

The mean of the 5 smallest numbers from a group is 15 while the mean of all the 13 members of the group taken together is 17. What is the mean of the 8 largest numbers?

In a Rhombus ABCD, measure of angle CAB is 30°, what is the measure of angle ABC?

If x+1x = 4, then what is the value of x6+1x6 ?

The mean score in a test of the 12 boys in a class was 16 while the overall mean of the 30 students in the class was 18.1. What was the mean score of the girls?