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:

Some pens are black.

No black is blue.

Conclusions:

I. No pen is blue.

II. Some pens are not black.

This question was previously asked in
SSC MTS (2022) Official Paper (Held On: 18 May, 2023 Shift 3)
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  1. Only conclusion II follows
  2. Both conclusions I and II follow 
  3. Only conclusion I follows
  4. Neither conclusion I nor II follows

Answer (Detailed Solution Below)

Option 4 : Neither conclusion I nor II follows
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Detailed Solution

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Statements:

Some pens are black.

No black is blue.

The Venn diagram as per the given statements:

Conclusions:

I. No pen is blue. Not follow (Because there is no direct relation between pen and blue, so it can be possible only but not definitely true)

II. Some pens are not black. Not follow (some pens are black is given, which means some pens are not black can be possible but not definitely true)

Hence, the correct answer is "Neither conclusion I nor II follows".

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Last updated on Jun 30, 2025

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