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Question

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 conclusion(s) logically follow(s) from the statements.
Statements:
Some lipsticks are tabs.
No tab is a kite.
Conclusions:
(I): Some lipsticks are kites.
(II): Some tabs are lipsticks.

This question was previously asked in
RRB NTPC 2024 CBT 1 Question Paper (28-Aug-2025) (Shift 3)
The correct answer is
Only conclusion (II) follows.

Analyzing Statements on Lipsticks, Tabs, and Kites

We are given two statements:

  • Statement 1: Some lipsticks are tabs.
  • Statement 2: No tab is a kite.

We need to determine if Conclusions (I) and (II) logically follow from these statements.

Evaluating Conclusion (II): Some tabs are lipsticks

Statement 1 says "Some lipsticks are tabs". This means there is at least one lipstick that is also a tab. This directly implies that there must be at least one tab that is also a lipstick. Therefore, Conclusion (II) logically follows from Statement 1.

Evaluating Conclusion (I): Some lipsticks are kites

Statement 2 clearly states that the categories 'tab' and 'kite' are mutually exclusive. No item belonging to the 'tab' category can belong to the 'kite' category.

Statement 1 establishes an overlap between 'lipsticks' and 'tabs'. Let's call the items in this overlap 'lipstick-tabs'.

Since no 'tab' can be a 'kite' (from Statement 2), none of the 'lipstick-tabs' can be 'kites'.

However, Statement 1 only talks about *some* lipsticks being tabs. It does not provide information about the lipsticks that are *not* tabs. These non-tab lipsticks could potentially be kites, or they might not be. The given statements do not offer enough information to conclude whether any lipsticks are kites.

Therefore, Conclusion (I) does not necessarily follow from the given statements.

Final Deduction

Based on the analysis:

  • Conclusion (I) does not follow.
  • Conclusion (II) follows.

Thus, only Conclusion (II) logically follows from the given statements.

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Similar Questions

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Important Questions from Syllogism

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