Quantitative Aptitude - Arithmetic Ability Questions

In a triangle ABC, the length of in-radius and circum-radius is 2 units and 6 units respectively. Find the distance (in units) between the in-centre and circum-centre.

Which of the following quadratic equations has real roots?

The sum of the cubes of two numbers in the ratio 3 : 4 is 5824. The sum of the numbers is:

The radius of a hemisphere is 7 cm, find its volume?

Find the perimeter (in cm) of a semicircle of radius 14 cm.

A tent is to be built in the form of a cylinder of radius 5 m surmounted by a cone of the same radius. If the height of the cylindrical part is 6 m and slant height of the conical part is 10 m, how much canvas will be required to build the tent? Allow 20% extra canvas for folding and stitching. (Take π = 22/7)

What is the simplified value of (cosec A + sin A)(cosec A – sin A)?

Some masons promised to do a work in 10 days but 8 of them were absent and remaining did the work in 18 days. What was the original number of masons?