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Year

CAT 2024

Section

Data

Topic

Venn Diagrams

Difficulty

Hard

Question

Slot-1

Read the passage and answer the questions below.

Passage:

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).

Number of countries visited

image

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.

Question 1

How many countries in Asia were visited by at least one of Dheeraj, Samantha and Nitesh?

Question 2

How many countries in Europe were visited only by Nitesh?

Question 3

How many countries in the ROW were visited by both Nitesh and Samantha?

Question 4

How many countries in Europe were visited by exactly one of Dheeraj, Samantha and Nitesh?

10

5

14

12

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