Quantitative Aptitude - Arithmetic Ability Questions

α and β are the roots of quadratic equation. If α + β = 8 and α – β = 2√5, then which of the following equation will have roots α4 and β4?

If (7x -­ 13) ­ (12x + 3) = 14, then the value of x is ______ .

What is the total number of points in the plane of triangle ABC which is equidistant from the vertices of the triangle?

Find the volume (in cm3) of a right circular cylinder of diameter 21 cm and height 10 cm.

A box of 20 items was bought for Rs. 6,400 after a discount of 20%. Find the cost of each item.

If 3 dozen guavas cost Rs. 90, how many guavas can be bought for Rs. 240?

When [x + (1/x)] = 5, then what is the value of [x – (1/x)]?

A person goes from point N to P and comes back. His average speed for the whole journey is 60 km/hr. If his speed while going from N to P is 40 km/hr, then what will be the speed of the person (in km/hr) while coming back from P to N?