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

Statements:

All colours are paints.

Some colours are pencils.

Conclusions:

I. Some paints are colours.

II. Some paints are pencils.

This question was previously asked in
SSC JE Civil 16 Nov 2022 Shift 1 Official Paper
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  1. Only conclusion I follows
  2. Both conclusions I and II follow
  3. Only conclusion II follows
  4. Neither conclusion I nor II follows

Answer (Detailed Solution Below)

Option 2 : Both conclusions I and II follow
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Detailed Solution

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The least possible Venn Diagram is shown below;
F3 Madhuri Defence 16.12.2022 D82

Conclusions:
I. Some paints are colours → Follow (As all colours are paints, then the case is definite)
II. Some paints are pencils → Follow (As Some colours are pencils, then some paints are pencils is definite)

So, Both the conclusions will follow.
Hence, the correct answer is Option (2).

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