CAT — Venn Diagram & Set Theory
4 questions, free to view. Click any question to see the answer and explanation.
The chart below provides complete information about the number of countries visited by Dheeraj, Samantha and Nitesh, in Asia, Europe and the rest of the world (ROW).
The following additional facts are known about the countries visited by them.
1. 32 countries were visited by at least one of them.
2. USA (in ROW) is the only country that was visited by all three of them.
3. China (in Asia) is the only country that was visited by both Dheeraj and Nitesh, but not by Samantha.
4. France (in Europe) is the only country outside Asia, which was visited by both Dheeraj and Samantha, but not by Nitesh.
5. Half of the countries visited by both Samantha and Nitesh are in Europe.
How many countries in Asia were visited by at least one of Dheeraj, Samantha and Nitesh?
How many countries in Europe were visited only by Nitesh?
How many countries in the ROW were visited by both Nitesh and Samantha?
How many countries in Europe were visited by exactly one of Dheeraj, Samantha and Nitesh?
14
12
5
10
12
The number of countries in Europe that were visited by exactly one of Dheeraj, Samantha, and Nitesh = 6 + 2 + 4 = 12.
Want this as a timed attempt?
Log in free to attempt this topic with a real timer, analytics, streaks and bookmarks.