Quantitative Aptitude - Arithmetic Ability Questions

There is a circular garden of radius 21 metres. A path of width 3.5 metres is constructed just outside the garden. What is the area (in metres2) of the path?

If the selling price of an item is Rs 9750 after getting a discount of 25%, then what was its marked price (in Rs)?

What is the simplified value of sec4θ – sec2θ tan2θ?

What is the value of (cos45° + 1/3) ?

The ratio of two numbers is 2 : 3. If the sum of both the numbers is 75, then what is the larger number among both the numbers?

Expand and simplify (3x + 2)2*(4x -­ 3) -­ (2x3 - 9x2 + 12x -­ 24)

What number should be added to each of the numbers 55, 100, 65 and 116, so that the resulting numbers are in continued proportion?

Two pipes of length 1.5 m and 1.2 m are to be cut into equal pieces without leaving any extra length of pipes. The greatest length of the pipe pieces of same size which can be cut from these two lengths will be