Question

Circles S and T are beside each other. They do not overlap.
Which of the following sets could be represented by the given Venn diagram?

S = {multiples of 4}
T = {8, 12, 20}
S = {Mercury, Venus, Earth, Mars}
T = {planets in our solar system}
S = {reptiles}
T = {mammals}
S = {prime numbers less than 10}
T = {2, 3, 5, 7}

Answer 1

Disjoint circles mean S and T have no elements in common. Check each pair:

- Multiples of 4 vs {8, 12, 20}: overlap (8,12,20 are in S) — not allowed.
- {Mercury, Venus, Earth, Mars} vs {planets in our solar system}: S is a subset of T — not allowed.
- Reptiles vs mammals: disjoint categories (no animal is both) — allowed.
- Primes < 10 vs {2,3,5,7}: identical sets — not allowed.

So only S = {reptiles}, T = {mammals} fits the diagram.