In this question three statements are given and three conclusions are given. You have to decide which of the given conclusions is logically true, assuming that the statements are true.

Statements: All boxes are games. All drugs are boxes. Some cups are boxes.

Conclusions:

i. Some games are cups

ii. All drugs are games

iii. Some boxes are drugs

This question was previously asked in
RPF SI (2018) Official Paper (Held On: 24 Dec, 2018 Shift 1)
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  1. All conclusions are logical
  2. none of the conclusions are logical
  3. Only conclusion i and ii are logical
  4. Only conclusions ii and iii are logical

Answer (Detailed Solution Below)

Option 1 : All conclusions are logical
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Detailed Solution

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

qImage66e2ed6c019491c9bd82b351

Conclusions:

I. Some games are cups → Follow (As all boxes are games and some cups are boxes. As some part of cups is common with boxes which whole comes in games, therefore some games are cups is true.)

II. All drugs are games → Follow (As all drugs are boxes and all boxes are games. As whole drugs comes in boxes which whole comes in games, therefore all drugs are games is true.)

III. Some boxes are drugs → Follow (As all drugs are boxes. As whole drugs comes in boxes, therefore some boxes are drugs is true.)

∴ Here, All conclusions are logical.

Hence, the correct answer is "Option 1"

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