Quantitative Aptitude - Arithmetic Ability Questions

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

The average cost of 5 items in a shopping list is Rs 650. If one more item whose cost is Rs 1400 is added to the list what will be the new average (in Rs)?

What is the simplified value of (cos A + sin A)(cot A + tan A)?

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

A solid cube is cut into 27 identical cubes. What is the percentage increase in the total surface area?

A work can be completed by 18 boys in 24 days. If 6 boys leave after working for 12 days, then how many days will be needed to complete the remaining work?

If 2x - 2(3 + 4x) < -1 - 2x > -5/3 - x/3; then x can take which of the following values?

The top of a broken tree touches the ground at a distance of 15 m from its base. If the tree is broken at a height of 8 m from the ground, then the actual height of the tree is