Choose the correct representation of the argument.
No students are illiterate
All animals are illiterate
No animals are students
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) →
In a Venn diagram, “All X are Y” puts circle X wholly inside circle Y, and “No X are Y” keeps the two circles apart. Each statement fixes one pair of circles:
All animals are illiterate: the Animals circle lies inside the Illiterate circle
No students are illiterate: the Students circle stays outside the Illiterate circle
No animals are students: the Animals and Students circles do not meet, which follows from the first two
Option (1) shows Animals inside Illiterate and Students standing apart, so it fits all three statements.
Why the other options are incorrect
Option (2) — Incorrect. Animals and Illiterate only overlap, so some animals would not be illiterate.
Option (3) — Incorrect. Students overlaps Illiterate, so some students would be illiterate.
Option (4) — Incorrect. Students overlaps Animals, and Animals only partly overlaps Illiterate.