CAT 2024 Slot 1 — DILR Question 17
Answer the following questions based on the information given below.
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).
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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 Europe were visited by exactly one of Dheeraj, Samantha and Nitesh?
Answer & solution
12
- B
14
- C
5
- D
10
Hard
Europe values: Dheeraj 7, Samantha 9, Nitesh 6. In Europe the “exactly two” countries are France (D&S) and the 4 S&N countries; there is no “exactly three” in Europe (USA is ROW).
Use slots = once + 2·(twice) + 3·(thrice):