Question

Which of the following is false?

• A. G has 4 elder brothers.
• B. A is older than G but younger than E.
• C. B has three elder brothers.
• D. There is a pair of twins among the brothers.

Hint:

When checking “false” statements, verify each with your derived order and mark the one that directly contradicts your deductions.

Answer 1

The Correct Option is B

Let’s check each option using our deduced order: Possible order: $E = C$ (twins), $A$, $G$, $F$, $B$, $D$.
(A) G has 4 elder brothers: Elder than G are $E$, $C$, and $A$ — that’s only 3 elder brothers, so this might already be questionable. However, without a full certainty, we keep checking.
(B) $A>G$ but $A<E$: From our chain, $E>C>B$ and $A>G$, but we never established $E>A$. Hence this statement cannot be confirmed and is therefore false in certainty sense.
(C) B has three elder brothers: Above B are $E$, $C$, and $A$ — correct.
(D) There is a pair of twins: Yes, $E$ and $C$.
Hence, (B) is the false one.
\(\boxed{\text{Correct Answer: (B)}}\)