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.

Neither conclusion (I) nor (II) follows.

Only conclusion (I) follows.

Only conclusion (II) follows.

Both conclusions (I) and (II) follow.

APEDIA

RRB NTPC Graduate Tier 1

2025 • 09 Jun, 2025 • Shift-1

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.

Correct Answer

Both conclusions (I) and (II) follow.

Venn Diagram Analysis: The category of 'jams' is fully encompassed within 'bands', and 'bands' is fully encompassed within 'sacks'. Consequently, all jams are s......

💡 Analysis & Explanation

Venn Diagram Analysis ▼

The category of 'jams' is fully encompassed within 'bands', and 'bands' is fully encompassed within 'sacks'. Consequently, all jams are sacks. The category of 'sacks' has a completely negative relationship (no overlap) with 'cans'.

Evaluating Conclusion I ▼

Since 'jams' sit inside 'sacks', and 'sacks' cannot interact with 'cans', 'jams' cannot interact with 'cans' either. Thus, 'No jam is a can' is completely valid.

Evaluating Conclusion II ▼

The 'jams' circle occupies a portion of the 'sacks' circle. Therefore, from the perspective of 'sacks', a portion of them are indeed 'jams'. Thus, 'Some sacks are jams' is completely valid.

Conclusion ▼

Both analytical deductions logically follow from the given premises.

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