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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: Some pencils are pens. All pens are papers. All pencils are colours. Conclusions: I. All colours are pens. II. Some colours are pencils. III. Some papers are pens.

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: Some pencils are pens. All pens are papers. All pencils are colours. Conclusions: I. All colours are pens. II. Some colours are pencils. III. Some papers are pens. Correct Answer Only conclusions II and III follow.

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

[ alt="F1 Savita SSC 22-6-22 D2" src="//storage.googleapis.com/tb-img/production/22/06/F1_Savita_SSC_22-6-22_D2.png" style="width: 290px; height: 122px;">

Conclusions:

I. All colours are pens → False (As All pencils are colours and Some pencils are pens so, All colours are pens is false)

II. Some colours are pencils → True (As All pencils are colours so, Some colours are pencils is true)

III. Some papers are pens → True (As All pens are papers so, Some papers are pens is true)

∴ Here, Only conclusion II and III are true.

Hence, the correct answer is "Only conclusions II and III follow".

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