Question:easy

Statement One: All girls are students.
Statement Two: All doctors are students.
Conclusions:
I. All girls are students.
II. Some students are girls.
III. Some students are doctors.
IV. All doctors are girls.

Show Hint

Both girls and doctors sit inside the students group. Ask what each premise gives when read backwards, and ask whether girls and doctors are linked to each other at all.
Updated On: Jul 17, 2026
  • Only I follows.
  • Only I and II follows.
  • Only II and IV follow.
  • Only I and II and III follows.
Show Solution

The Correct Option is D

Solution and Explanation

Start by drawing the picture. Statement One puts the whole girls circle inside the students circle. Statement Two puts the whole doctors circle inside the students circle as well. Nothing is said about how girls and doctors sit relative to each other, so they are free to overlap or stay apart. Now test each conclusion against this diagram.

  1. Only I follows: Conclusion I is Statement One copied out, so it is safe. But this option throws away II and III, and both of them survive the diagram, so the option is too narrow.
  2. Only I and II follows: I and II are fine, but III is left out. Since the doctors circle lies inside students, part of the students region is certainly made of doctors, which is exactly what III says. Leaving it out makes this option wrong.
  3. Only II and IV follow: II is fine. IV claims the doctors circle sits inside the girls circle. Slide the two circles apart inside students and both premises still hold while IV collapses, so IV is not forced. This option fails.
  4. Only I and II and III follows: I is the premise restated. II is the girls circle seen from the students side. III is the doctors circle seen from the students side. All three hold in every diagram that respects the premises.

The point that decides the question is the difference between what is forced and what is merely possible. Girls being doctors is possible, so it can never be a conclusion. A part of students being girls, and a part of students being doctors, are forced the moment each group is placed wholly inside students.

Let's summarize:

  • A conclusion that repeats a premise word for word is accepted here, which is why I counts.
  • "All A are B" always yields "Some B are A", which gives II and III.
  • Two groups sitting inside a common third group are not linked to each other, which kills IV.

So I, II and III follow and the answer is option (D).

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