Directions: In the question below, statements are given followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read both conclusions and decide which of them logically follows from the given statements.
Statements:
Only a few invoices are receipts
Some receipts are vouchers
All vouchers are records
Conclusions:
I. Some receipts are records
II. No invoice is a voucher
Correct Answer :
Only conclusion I follows
Solution :
Correct Answer: Only conclusion I follows
Step-by-Step Explanation:
Let us analyze the given statements step-by-step using Venn diagrams / set relationships:
Given Statements:
1. Only a few invoices are receipts: This implies that some invoices are receipts, and some invoices are not receipts.
2. Some receipts are vouchers: This indicates a common intersection between the set of receipts and the set of vouchers.
3. All vouchers are records: This implies that the set of vouchers is entirely contained inside the set of records.
Evaluating Conclusions:
Conclusion I: Some receipts are records
From Statement 2, we know that some receipts are vouchers. From Statement 3, all vouchers are contained within records. Therefore, the portion of receipts that are vouchers must necessarily be records. Hence, Conclusion I logically follows.
Conclusion II: No invoice is a voucher
No direct negative restriction between invoices and vouchers is given in the statements. A possibility exists where invoices and vouchers overlap. Since a definite relation cannot be established, Conclusion II does not follow.
Conclusion:
Therefore, only conclusion I follows.
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