Quantitative Aptitude - Arithmetic Ability Questions

If PA and PB are tangents to the circle with centre O such that ∠APB=50°, then the ∠OAB=

A cone of radius 7 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 3.5 cm. What will be the height of water in this vessel?

Working together P, Q and R reap a field in 6 days. If P can do it alone in 10 days and Q in 24 days, in how many days will R alone be able to reap the field?

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)?

Two chords AB and CD of a circle with centre O intersect at P. If ∠APC = 40°. Then the value of ∠AOC + ∠BOD is

Rs. x invested at 9% simple interest per annum for 5 years yields the same interest as that on Rs. y invested at 6.25% simple interest per annum for 8 years. Find x:y.

If 3x + 2 < 2x + 1 and x ­- 4 ≤ 2x -­ 1; then x can take which of the following values?

The simplified form of (x + 3)2 + (x - 1)2 is