Question

Observe the given figure and read the statements (I), (II) and (III).

Statements:
(I) All teachers are doctors
(II) Some doctors are teachers
(III) All surgeons are doctors
Which of the following statement(s) is/are correct:

• A. (I), (II) and (III)
• B. (I) and (III)
• C. (I) and (II)
• D. (II) and (III)

Answer 1

The Correct Option is D

To determine which statements are correct, let's analyze the Venn diagram and each statement:

1. Statement (I): "All teachers are doctors."
   This statement implies that the entire set of teachers is within the set of doctors. However, according to the Venn diagram, the triangle representing teachers is not entirely within the circle representing doctors, so this statement is incorrect.
2. Statement (II): "Some doctors are teachers."
   This implies that there is an overlap between doctors and teachers. The Venn diagram shows part of the triangle (teachers) intersecting with the circle (doctors), confirming that some doctors are indeed teachers. Thus, this statement is correct.
3. Statement (III): "All surgeons are doctors."
   The square representing surgeons is completely within the circle representing doctors, indicating that all surgeons are indeed doctors. This statement is correct.

After analyzing the statements in conjunction with the diagram:

• Correct Statements: (II) and (III)

The correct option, therefore, is: (II) and (III).