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GATE 2022 EE – Question 4

General Aptitude · Analytical Aptitude: Logical Reasoning and Deduction · 1 mark · Multiple choice

Given below are two statements and four conclusions drawn based on the statements.

Statement 1: Some bottles are cups.

Statement 2: All cups are knives.

Conclusion I: Some bottles are knives.

Conclusion II: Some knives are cups.

Conclusion III: All cups are bottles.

Conclusion IV: All knives are cups.

Which one of the following options can be logically inferred?

  1. Only conclusion I and conclusion II are correct
  2. Only conclusion II and conclusion III are correct
  3. Only conclusion II and conclusion IV are correct
  4. Only conclusion III and conclusion IV are correct

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Show answer and explanation

Correct answer: (A) Only conclusion I and conclusion II are correct

Explanation

Some bottles are cups and every cup is a knife, so those bottles are knives (I). Since cups exist and all are knives, some knives are cups (II). Nothing says all cups are bottles (III) or all knives are cups (IV).