Question

In each of the questions below, two statements are given followed by two conclusions numbered I and II. Consider the two given statements to be true even if they seem to be at variance with commonly known facts, and decide which of the given conclusions logically follow(s) from the statements.

Statements: No coin is a dollar. Red token is a coin.
Conclusions:
I. Red token is not a dollar.
II. Red token may not be a dollar.

• A. if only conclusion II follows
• B. if only conclusion I follows
• C. if either conclusion I or II follows
• D. if neither conclusion I nor II follows

Hint:

If red token is entirely inside coin, and coin has zero overlap with dollar, what must be true about red token and dollar?

Answer 1

The Correct Option is B

Step 1: Draw the relationship.
Picture two separate, non-touching circles for Coin and Dollar, since "no coin is a dollar" means zero overlap. Inside the Coin circle, draw a smaller circle for Red Token, since "red token is a coin" means every red token is a coin.

Step 2: Check where Red Token sits relative to Dollar.
Because the Red Token circle is completely inside the Coin circle, and the Coin circle does not touch the Dollar circle anywhere, the Red Token circle also cannot touch the Dollar circle. There is no way to draw this diagram, while staying true to both statements, so that any red token falls inside the Dollar circle.

Step 3: Match this to the conclusions.
"Red token is not a dollar" is exactly what the diagram shows in every valid case, so conclusion I definitely follows.
"Red token may not be a dollar" describes only a possibility, a weaker claim that becomes redundant once conclusion I is already certain, so it is not counted as an additional following conclusion.

Final Answer:
Only conclusion I follows. \[ \boxed{\text{Option B}} \]