Quantitative Aptitude - Arithmetic Ability Questions

If (cotAcotB - 1) / (cotB + cotA) = x, then the value of x is

What is the value of 13313 + 729 - 5123

If 4 + 3x ≤ 6 + x and 3x + 5 > 2 + 2x; then x can take which of the following values?

Select the odd number from the given alternatives.

How many natural numbers between 15 and 85 are divisible by 7?

Pipes A, B, and C are attached to an empty cistern. While the first two can fill the cistern in 4 and 10 hours, respectively, the third can drain the cistern, when filled, in 6 hours. If all the three pipes are opened simultaneously when the cistern is three-fifth full, how many hours will be needed to fill the cistern?

Rakshanth is twice as good as tradesman as Verma and together they finish a piece of work in 19 days. In how many dayswill Verma alone finish the work?

Neeraj's earning was decreased by 60% and after that subsequently increased by 60%. Find the final loss % on his earnings?