Quantitative Aptitude - Arithmetic Ability Questions

What is the value of tan 6° tan 36° tan 84° tan 54° tan 45°?

A money lender lends Rs. 400 for 3 years to a person and lends Rs. 500 for 4 years to the other person at the same rate of simple interest. If altogether he receives Rs. 160 as interest, what is the rate of interest per annum ?

One-third of Poojitha's age three years ago plus one-half of her age two years from now is twenty years. How old is she now?

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?

If a - b = 3 and a2+b2=25, then the value of ab is

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

Select the odd number from the given alternatives.

If tanθ = 815, then 1-sinθ1+sinθ is