The statements below are followed by two conclusions labelled I and II . Assuming that the information in the statements is true, even if it appears to be at variance with reality, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements. Statements: All pencils are pens. Some erasers are pencils. Conclusions: I. Some erasers are pens. II. Some pens are erasers.

The statements below are followed by two conclusions labelled I and II . Assuming that the information in the statements is true, even if it appears to be at variance with reality, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements. Statements: All pencils are pens. Some erasers are pencils. Conclusions: I. Some erasers are pens. II. Some pens are erasers. Correct Answer Both conclusions I and II follow.

The least possible Venn diagram is:          

[ alt="F1 Chitranshi Madhu 15.07.21 D6" src="//storage.googleapis.com/tb-img/production/21/07/F1_Chitranshi_Madhu_15.07.21_D6.png" style="width: 208px; height: 102px;">

Conclusions:

I. Some erasers are pens. → True (As, All pencils are pens and Some erasers are pencils → Some erasers are pens)

II. Some pens are erasers. → True (As, All pencils are pens and Some erasers are pencils → Some pens are erasers)

Hence, Both conclusions I and II follow.

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