Quantitative Aptitude - Arithmetic Ability Questions

cot2A + cos2A is equal to

The point of intersection of all the three medians of a triangle is called its

Simplify: (213 x 213 + 187 x 187)

ABC is a triangle. AB = 5 cm, AC = √41 cm and BC = 8 cm. AD is perpendicular to BC. What is the area (in cm2) of triangle ABD?

The sum of the ages of Ram and Shyam is 49. The difference between the age of Shyam and twice the age of Ram is 8. What is the age (in years) of Ram?

Akash is 3 times as good a workman as Baldev and therefore is able to finish a job in 40 days less than Baldev. Working together, they can finish it in _____.

A can do a work in 21 days and B in 42 days. If they work on it together for 7 days, then what fraction of work is left?

The sum of the ages of father and a son presently is 70 years. After 10 years, the son's age is exactly half that of the father. What are their ages now?