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 notebooks are erasers.

All erasers are pens.

Conclusions:

I. All notebooks are pens.

II. Some pens are notebooks.

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SSC CPO 2024 Official Paper-I (Held On: 29 Jun, 2024 Shift 1)
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  1. Neither conclusion I nor II follows
  2. Only conclusion I follows
  3. Only conclusion II follows
  4. Both conclusions I and II follow

Answer (Detailed Solution Below)

Option 4 : Both conclusions I and II follow
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SSC CPO : General Intelligence & Reasoning Sectional Test 1
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Detailed Solution

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The least possible Venn diagram for the given statements is as follows:

qImage66f81fb897b2406d6af6ef4d

Conclusions:

I. All notebooks are pens - TRUE (Because all notebooks are erasers and all erasers are pen, so all notebooks are pen is definite true)

II. Some pens are notebooks - TRUE (Because all notebooks are erasers and all erasers are pens so some pens are notebooks is also true)

So, both conclusion I and II follows

Hence the correct answer is "Option 4".

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