Question

Statement:
In a village there are 1200 voters. The number of female voters is more than 50%.
Conclusions:
I. The village has 600 female voters.
II. Female voters are the majority in the village.

• A. Only conclusion I follows
• B. Only conclusion II follows
• C. Both conclusions I and II follow
• D. Neither conclusion I nor conclusion II follows

Hint:

“More than” and “equal to” are logically different — avoid exact-value assumptions.

Answer 1

The Correct Option is B

To solve this logical reasoning question, we need to evaluate the given conclusions based on the statement provided.

Statement: In a village, there are 1200 voters. The number of female voters is more than 50%.

Conclusions:

1. The village has 600 female voters.
2. Female voters are the majority in the village.

Let's analyze the conclusions one by one:

1. Conclusion I: "The village has 600 female voters."
   • The statement specifies that the number of female voters is more than 50%. This implies that the number of female voters is more than 600 (since 50% of 1200 is 600).
   • Since the number of female voters is more than 600, the conclusion that "the village has 600 female voters" is incorrect because the number cannot be exactly 600.
2. Conclusion II: "Female voters are the majority in the village."
   • The statement mentions that the number of female voters is more than 50%. Thus, female voters exceed half of the voter population of the village, indicating they are indeed in the majority.
   • Therefore, this conclusion is correct.

Conclusion: Based on the analysis above, only Conclusion II follows from the given statement. The correct answer is: Only conclusion II follows.