Syllogism / Venn Diagram Analysis

CMAT 2021 · Logical Reasoning · Easy · Logical Reasoning

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

(A diagram showing a 'Teachers' triangle intersecting a 'Doctors' circle, inside of which sits a 'Surgeon' square)

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:

  1. A.

    (I), (II) and (III)

  2. B.

    (I) and (III)

  3. C.

    (I) and (II)

  4. D.

    (II) and (III)

Answer

D

Explanation

From the figure:

  • The triangle (Teachers) only partially overlaps the circle (Doctors), so only 'Some doctors are teachers' is true (Statement II).
  • The square (Surgeon) lies completely inside the circle (Doctors), so 'All surgeons are doctors' is true (Statement III). Therefore, (II) and (III) are correct.

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