Quantitative Aptitude - Arithmetic Ability Questions

If a cone is divided into two parts by drawing a plane through the midpoints of its axis, then the ratio of the volume of the 2 parts of the cone is

What is the value of (cos 45 - 1/3) ?

Find the value of  x3 - y3, if x - y = 4 and xy = 12.

Simple interest on a certain sum of money for 3 years at 14% per annum is half the compound interest on Rs. 10000 for 2 years at 10% per annum. The sum placed on simple interest is

When 0.363636.....is converted into a fraction, then the result is _____.

Ages of Lalu and Balu are in the ratio of 1 : 2. After 7 years their ages ratio changes to 3 : 5. The elder person age is

The distance between the tops of two building 38 metres and 58 metres high is 52 metres. What will be the distance (in metres) between two buildings?

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