Quantitative Aptitude - Arithmetic Ability Questions

A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.

What is the ratio of the volume of the sphere to that of cone?

In a triangle ABC, OB and OC are the bisectors of angles ∠ B and ∠C respectively. ∠BAC = 60°. Then the angle ∠BOC will be

What is the value of (tan45° + 1/√2) ?

The simple interest on a sum for 5 years is Rs 16800. The rate of interest for the first 3 years is 8% per annum and for the next 2 years is 12% per annum. What is the value (in Rs) of sum?

A defective piece of article which costs Rs. 1200 is being sold at a loss of 15%. If the price is further reduced by 5%, find the S.P?

In an army selection process, the ratio of selected to unselected was 3:1. If 60 less had applied and 30 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 12% per annum is Rs 900. What is the value of given sum (in Rs)?

One of four words is a class to which the other three belong. Identify the class.