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Two statements are given followed by three conclusions numbered I, II and III. 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 jewels are metals No metal is a diamond. Conclusions: I. No jewel is a diamond. II. No diamond is a metal. III. Some metals are jewels.

Two statements are given followed by three conclusions numbered I, II and III. 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 jewels are metals No metal is a diamond. Conclusions: I. No jewel is a diamond. II. No diamond is a metal. III. Some metals are jewels. Correct Answer All of the conclusions follow

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

[ alt="F1 Madhuri SSC 14.05.2022 D68" src="//storage.googleapis.com/tb-img/production/22/05/F1_Madhuri_SSC_14.05.2022_D68.png" style="width: 239px; height: 87px;">

Conclusions:

I. No jewel is a diamond → True (As All jewels are metals and No metal is a diamond so, No jewel is a diamond is true)

II. No diamond is a metal → True (As All jewels are metals and No metal is a diamond so, No diamond is a metal is true)

III. Some metals are jewels → True (As All jewels are metals so, Some metals are jewels is true)

∴ Here, All conclusions are true.

Hence, the correct answer is "All of the conclusions follow".

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