Question Details

In each question below, some statements are given followed by some conclusions. You have to assume everything in the statements to be true even if they seem to be at variance with commonly known facts. Now, decide which of the two given conclusions logically follow from the statements, disregarding commonly known facts.

Statements:
All manager are help.
Only a few help are free.
Some free is not rude.
Conclusions:
I. All help being rude is a possibility.
II. Some manager is help.

Options

A

Only I follows

B

Only II follows

C

Either I or II follows

D

Both I and II follow

Show Answer

Correct Answer :

Option D

Both I and II follow

Both I and II follow

Solution :

The correct option/answer is Both I and II follow.

To determine which conclusions logically follow, let us analyze the statements step-by-step using a Venn diagram approach and logical reasoning:

1. Analysis of the Statements:
- "All manager are help": This means the entire set of "Manager" is contained within the set of "Help".
- "Only a few help are free": This statement contains two parts: some "Help" is "Free" (HelpFree), and some "Help" is definitely not "Free" (Help\Free).
- "Some free is not rude": This means there is at least some portion of the "Free" set that does not intersect with the "Rude" set.

2. Evaluating Conclusion I: "All help being rude is a possibility"
- We need to check if we can construct a scenario where all "Help" is "Rude" without violating any statements.
- The only constraint on "Rude" is that some part of "Free" must not be "Rude".
- If we make the entire set of "Help" to be "Rude", we must ensure that the portion of "Free" that is not "Rude" lies completely outside of "Help". This is entirely possible, as the elements of "Free" that are not "Rude" can belong to the portion of "Free" that does not overlap with "Help".
- Therefore, there is no contradiction, and this possibility is valid. Conclusion I follows.

3. Evaluating Conclusion II: "Some manager is help"
- We are given the statement "All manager are help".
- Since the entire set of "Manager" lies inside the set of "Help", it logically guarantees that there is an intersection between "Manager" and "Help" (i.e., some manager is help).
- Therefore, Conclusion II definitely follows.

Since both Conclusion I and Conclusion II logically follow from the given statements, the correct option is "Both I and II follow".

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  • SSC
  • intermediate
  • 1 hour
  • english, general awareness, general intelligence and reasoning, logical reasoning, quant

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