Question

Which of the following numbers represents the set of persons who play all the three game?

• A. 2
• B. 3
• C. 6
• D. 7
• E. None of these
• A. 6
• B. 5
• C. 3
• D. 2
• J. 7
• A. 1
• B. 2
• C. 3
• D. 4
• O. None of these
• A. 2
• B. 3
• C. 4
• D. 6
• T. None of these

Answer 1

The Correct Option is C

Step 1: Understand the problem.
We are asked to find the number representing the set of persons who play all three games: cricket, hockey, and football.

Step 2: Analyze the Venn diagram.
From the Venn diagram, the number in the center where all three circles intersect represents the set of persons who play all three games. The number in the center is 3.

Step 3: Conclusion.
The number representing the set of persons who play all three games is 3, but since the answer choices provided indicate "None of these," it appears there may be a discrepancy.

Final Answer:
The correct answer is None of these.

Answer 2

Step 1: Understand the problem.
We are asked to find the number representing the set of persons who play both cricket and football but not hockey.

Step 2: Analyze the Venn diagram.
From the Venn diagram:
- The number 3 represents persons who play all three games: cricket, football, and hockey.
- The number 1 represents persons who play both cricket and football but not hockey.

Step 3: Conclusion.
The number representing the set of persons who play both cricket and football but not hockey is 3.

Final Answer:
The correct option is (C): 3.

Answer 3

Step 1: Understand the problem.
We are asked to find the number representing the set of people who play cricket but neither hockey nor football.

Step 2: Analyze the Venn diagram.
From the Venn diagram:
- The number 4 represents people who play cricket but neither hockey nor football. These are the people who are only in the cricket circle, without overlapping with the other two circles (hockey and football).

Step 3: Conclusion.
The number representing the set of people who play cricket but neither hockey nor football is 4.

Final Answer:
The correct option is (D): 4.

Answer 4

Step 1: Understand the problem.
We are asked to find the number representing the set of persons who play cricket and hockey but not football.

Step 2: Analyze the Venn diagram.
From the Venn diagram: - The number 2 represents persons who play both cricket and hockey but do not play football. This is the intersection of the cricket and hockey circles, excluding the football circle.

Step 3: Conclusion.
The number representing the set of persons who play cricket and hockey but not football is 2.

Final Answer:
The correct option is (A): 2.