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:
All jams are bands.
All bands are sacks.
No sack is a can.
Conclusions:
(I) No jam is a can.
(II) Some sacks are jams.

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RRB NTPC Graduate Level CBT-I Official Paper (Held On: 09 Jun, 2025 Shift 1)
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  1. Only conclusion (II) follows.
  2. Both conclusions (I) and (II) follow.
  3. Only conclusion (I) follows.
  4. Neither conclusion (I) nor (II) follows.

Answer (Detailed Solution Below)

Option 2 : Both conclusions (I) and (II) follow.
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Detailed Solution

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

qImage6876604d2bff4ce844a92a95

Conclusions:

(I) No jam is a can → Follow (As all jams are bands, all bands are sacks and no sack is a can. As whole jams comes in bands which whole comes in snacks which cannot be can, therefore it is true.)

(II) Some sacks are jams → Follow (As most buildings are papers and all papers are frogs. As whole jams comes in bands which whole comes in snacks, therefore it is true.)

∴ Here, Both conclusions (I) and (II) follow.

Hence, the correct answer is "Option 2".

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