Quantitative Aptitude - Arithmetic Ability Questions

If y=2secθ and x=3tanθ then x29-y24 is

X can do a piece of work in 'p' days and Y can do the same work in 'q' days . Then the number of days in which X and Y can together do that work is

The sum of three consecutive even numbers is 42. Find the middle number.

The lengths of diagonals of a rhombus are 24cm and 10cm the perimeter of the rhombus (in cm ) is :

What is the perimeter of the sector whose central angle is 60° and radius of the circle is 21 cm?

What is the value of [(cos 3θ + 2cos 5θ + cos 7θ)÷(cos θ + 2cos 3θ + cos 5θ)] + sin 2θ tan 3θ?

What is the simplest form of (1 + cosA)(cosecA ­ cotA)?

Divide 20 into two parts such that the sum of the square of the parts is 232. What is the value of the two parts?