Question:

Two statements followed by two conclusions are given. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follow from the statements.
Statements:
1. Some balls are red in colour
2. All boxes are empty
Conclusions:
I. Some balls are red in colour
II. Some boxes are not empty

Show Hint

In such logical reasoning questions, focus on what is directly stated and treat the given statements as absolute truth.
A conclusion that contradicts any of the given statements cannot be accepted.
Statements like "some", "all", and "none" must be interpreted precisely.
"All boxes are empty" leaves no room for "some boxes are not empty" to be true.
Updated On: July 22, 2025
  • only conclusion I follows
  • only conclusion II follows
  • neither conclusion I nor Conclusion II follow
  • both conclusions I and II follow
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The Correct Option is A

Solution and Explanation

We are given two statements and two conclusions. Let's evaluate the validity of each conclusion based on the statements alone.
Step 1: Analyze Conclusion I — “Some balls are red in colour”
This conclusion directly restates the first statement: “Some balls are red in colour.”
Since this is explicitly stated in the statements, Conclusion I logically follows.
Step 2: Analyze Conclusion II — “Some boxes are not empty”
This is the opposite of the second statement, which says “All boxes are empty.”
If all boxes are empty, then no box is non-empty.
So, the statement "Some boxes are not empty" contradicts the given information.
Therefore, Conclusion II does not logically follow.
Hence, only Conclusion I follows.
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