in Analytical Aptitude recategorized by
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Given below are two statements $1$ and $2$, and two conclusions $\text{I}$ and $\text{II}$.

  • $\text{Statement 1}:$ All entrepreneurs are wealthy.
  • $\text{Statement 2}:$ All wealthy are risk seekers.
  • $\text{Conclusion I}:$ All risk seekers are wealthy.
  • $\text{Conclusion II}:$ Only some entrepreneurs are risk seekers.

Based on the above statements and conclusions, which one of the following options is $\text{CORRECT}$?

  1. Only conclusion $\text{I}$ is correct
  2. Only conclusion $\text{II}$ is correct
  3. Neither conclusion $\text{I}$ nor $\text{II}$ is correct
  4. Both conclusions $\text{I}$ and $\text{II}$ are correct
in Analytical Aptitude recategorized by
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Migrated from GO Mechanical 2 years ago by gatecse

1 Answer

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Best answer

Given statements are,

  • $\text{Statement 1}:$ All entrepreneurs are wealthy.

  • $\text{Statement 2}:$ All wealthy are risk seekers.

  • $\text{Conclusion I}:$ All risk seekers are wealthy.

From the above Venn diagram, not all risk seekers are wealthy. So, $\text{conclusion I}$ is false.

  • $\text{Conclusion II}:$ Only some entrepreneurs are risk seekers.

From the above Venn diagram, all entrepreneurs are risk seekers. So, $\text{conclusion II}$ is also false.

So, the correct answer is $(C).$

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2 Comments

To prove a conclusion false, one Venn diagram is fine. But to prove a conclusion True you should say no contradicting Venn diagram is possible.
1
1
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Yes sir. But in conclusion II, they said only some, and using the $3^{\text{rd}}$ Venn diagram we are able to contradict.
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