Quantitative Aptitude - Arithmetic Ability Questions

When a number is increased by 21, it becomes 114% of itself. What is the number?

If a:b = 3:8, find the value of (5a ­ 3b)/(2a + b).

A can do a work in 20 days and B in 10 days. If they work on it together for 5 days, then what fraction of work is left.

If Data Interpretation and Modern Maths were taught for a combined time of 96 hours, then for how much time (in hours) were Number system and Geometry
taught?

The percent profit made when an article is sold for Rs. 78 is twice as much as when it is sold for Rs. 69, the cost price of the article is?

If a2+b2c2 = b2+c2a2 = c2+a2b2 = 1k k≠0 then k =

If a + b = 5 and ab = 6, then what is the value of a3 + b3?

Lokesh starts a business with Rs 240000. After 3 months Vishal joins him with Rs 210000. At the end of the year what will be the ratio of their profit?