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 follow(s) from the statements.

Statements:

All colours are reds.

All colours are blacks.

All colours are paints.

Conclusions:

(I) All reds are paints.

(Il) Some paints are blacks.

• A. Only conclusion (II) follows
• B. Both conclusions (1) and (I1) follow
• C. Neither conclusion (I) nor (Il) follows
• D. Only conclusion (I) follows

Answer 1

Answer:

A. Only conclusion (II) follows

Let’s analyze the statements using basic set logic.

Statements:

1. All colours are reds → Colours ⊆ Reds

2. All colours are blacks → Colours ⊆ Blacks

3. All colours are paints → Colours ⊆ Paints

So the relationship is:
Colours are a subset of Reds, Blacks, and Paints simultaneously

This means:

• Colours lie inside all three sets.

• So the three sets overlap at least in the “Colours” part.

  Conclusion I: All reds are paints

We only know:

• Colours ⊆ Reds

• Colours ⊆ Paints

But we do NOT know:

• Reds ⊆ Paints

So this conclusion does NOT follow.

Conclusion I is false.

Conclusion II: Some paints are blacks

We know:

• Colours ⊆ Paints

• Colours ⊆ Blacks

So there is at least one common group (Colours) inside both Paints and Blacks.

That means:
Some Paints are Blacks (at least the Colours part)

Conclusion II follows.

Final Answer:

Only Conclusion II follows