Quantitative Aptitude - Arithmetic Ability Questions

√(1 + tan2A)/tanA is equal to

If tanA + tanB = X, then the value of X is

The average weight of 30 students in a class is 25 kgs. If the weight of the class teacher is added, the average weight increase by 2 kgs. The weight of the class teacher in kgs is

The sum of three numbers is 2, the 1st number is 1/2 times the 2nd number and the 3rd number is 1/4 times the 2nd number. The 2nd number is

Working together, pipes A and B can fill an empty tank in 10 hours. They worked together for 4 hours and then B stopped and A continued filling the tank till it was full. It took a total of 13 hours to fill the tank. How long would it take A to fill the empty tank alone?

If the diameter of a hemisphere is 21 cm, then what is the volume (in cub.cm) of hemisphere?

A sum of money invested for 2 yrs and 9 months at the rate of 8% simple interest per annum became Rs.732 at the end of the period. What was the sum that was initially invested?

If a+1a2 = 3, then the value of a18+ a12+a6 + 1 is