Quantitative Aptitude - Arithmetic Ability Questions

In the following question, select the missing number from the given series.
 
1912, 2012, 2133, 2277, 2446, ?

Two smaller circles touch a large circle internally and pass through the center O of the larger circle. If the diameter of the bigger circle is 28 cm, thenwhat is the area of the bigger circle which is not enclosed by the two smaller circles (in sq.cm)?

If the diameter of a sphere is 14 cm, then what is the surface area (in sq.cm) of the sphere?

What will be the value of xy, if x2+y2 = 45 and x-y=5 ?

An inverted conical shaped vessel is filled with water to its brim. The height of the vessel is 8 cm and radius of the open end is 5 cm . When a few solid spherical metallic balls each of radius 1⁄2 cm are dropped in the vessel , 25% water is overflowed. The number of balls is:

In the following question, select the odd letter/letters from the given alternatives.

Rs. x invested at 8% simple interest per annum for 5 years yields the same interest as that on Rs. y invested at 7.5% simple interest per annum for 6years. Find x : y.

A car can cover 350 km in 4 hrs. If its speed is decreased by 12.5 kmph. How much time does the car take to cover a distance of 450 kms.