Question

Read the given statements and conclusions carefully. Assuming that the

information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follows) from the statements.

Statements:

All balms are ears.

All balms are legs.

Some legs are fingers.

Conclusions:

(1): Some fingers are balms.

(Il): Some legs are ears.

• A. Only conclusion (II) follows.
• B. Only conclusion (I) follows.
• C. Neither conclusion (I) nor (II) follows.
• D. Both conclusions (I) and (II) follow.

Answer 1

Answer:

A. Only conclusion (II) follows.

Let’s translate the statements into logical form

Statements:

1. All balms are ears.
   Balm ⊆ Ear

2. All balms are legs.
   Balm ⊆ Leg

3. Some legs are fingers.
   Some Leg ∩ Finger

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Diagram understanding:

Since all balms are ears and all balms are legs,
Balms lie in the common part of Ears and Legs.

But we are NOT told that:

• All legs are ears ❌

• All ears are legs ❌

Only balms are common to both.

Now check conclusions:

(I) Some fingers are balms.

We know:

• Some legs are fingers.

• All balms are legs.

But we do NOT know that those "some legs" (which are fingers) are balms.

So this does not necessarily follow.

❌ Conclusion I does not follow.

(II) Some legs are ears.

Since:

• All balms are legs.

• All balms are ears.

Balms are common to both legs and ears.

Therefore, at least those balms are both legs and ears.

So:

✔ Some legs are ears.

Final Answer:

Only conclusion (II) follows.