Three 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:

Some colours are rainbows.

Some paints are rainbows.

All rainbows are drawings.

Conclusions:

I. Some drawings are colours.

II. All paints are drawings.

III. Some drawings are rainbows.

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 2)
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  1. Only conclusions I and II follow
  2. Only conclusions I and III follow
  3. Only conclusions II and III follow
  4. All conclusions follow

Answer (Detailed Solution Below)

Option 2 : Only conclusions I and III follow
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Detailed Solution

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The least possible Venn diagram for the given statement is:

F3 SSC Arbaz 23-1-24 D32

Conclusions:

I. Some drawings are colours → Follow (As, some colours are rainbows and all rainbows are drawings. So, as whole rainbows comes in drawings and have some part common with colours therefore it is definitely true.)

II. All paints are drawings → Does not Follow (As, some paints are rainbows and all rainbows are drawings. So, it is possible but not definitely true)

III. Some drawings are rainbows → Follow (As, all rainbows are drawings. So, as whole rainbows comes in drawings and have some part common with colours therefore it is definitely true.)

So, Only conclusions I and Ill follow.

Hence, the correct answer is "Only conclusions I and Ill follow".

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