Question:
Instructions (127 to 129): The following questions comprise of one or more statements. Answer the questions on the basis of the given statement(s). Accept the factual assumptions required by the question, even if you believe that the statement is false.
Statement:
"Where there is a cloud, there is a rain."
Which of the following statements, if true, would show that the above statement is false?
Instructions (127 to 129): The following questions comprise of one or more statements. Answer the questions on the basis of the given statement(s). Accept the factual assumptions required by the question, even if you believe that the statement is false.
Statement:
"Where there is a cloud, there is a rain."
Which of the following statements, if true, would show that the above statement is false?
Statement:
"Where there is a cloud, there is a rain."
Which of the following statements, if true, would show that the above statement is false?
Show Hint
The claim only promises what happens when a cloud is present. Look for the option where the cloud shows up but the rain does not.
Updated On: Jul 17, 2026
- Sometimes there is cloud, but there is no rain.
- Sometimes there is rain, but there is no cloud.
- There is no rain where there is no cloud.
- None of the above.
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Question.
The statement is a conditional claim. "Where there is a cloud, there is a rain" means that cloud is enough to guarantee rain. In symbols it is cloud implies rain, with cloud as the condition and rain as the promised result.
Step 2: Key Rule or Approach.
A conditional "if P then Q" is false in exactly one situation: P is true and Q is false. So the only way to break this claim is to find a place with cloud and no rain. Every other combination leaves the claim intact.
Step 3: Detailed Explanation.
Option (A) describes cloud present and rain absent. That is P true with Q false, which is precisely the falsifying case. So (A) is the answer.
Step 4: Checking the Wrong Options.
Option (B) describes rain without cloud. The claim only promises that cloud brings rain. It never promised that rain needs cloud. Rain arriving from some other source does not break the promise, because no cloud was present to trigger it.
Option (C) says there is no rain where there is no cloud. This is the inverse of the original claim and it actually sits happily with it. If anything it strengthens the tie between cloud and rain rather than cutting it.
Option (D) says none of the above, which is wrong because (A) does the job.
Step 5: Final Answer.
A cloud with no rain is the counter example, so the answer is (A).
The statement is a conditional claim. "Where there is a cloud, there is a rain" means that cloud is enough to guarantee rain. In symbols it is cloud implies rain, with cloud as the condition and rain as the promised result.
Step 2: Key Rule or Approach.
A conditional "if P then Q" is false in exactly one situation: P is true and Q is false. So the only way to break this claim is to find a place with cloud and no rain. Every other combination leaves the claim intact.
Step 3: Detailed Explanation.
Option (A) describes cloud present and rain absent. That is P true with Q false, which is precisely the falsifying case. So (A) is the answer.
Step 4: Checking the Wrong Options.
Option (B) describes rain without cloud. The claim only promises that cloud brings rain. It never promised that rain needs cloud. Rain arriving from some other source does not break the promise, because no cloud was present to trigger it.
Option (C) says there is no rain where there is no cloud. This is the inverse of the original claim and it actually sits happily with it. If anything it strengthens the tie between cloud and rain rather than cutting it.
Option (D) says none of the above, which is wrong because (A) does the job.
Step 5: Final Answer.
A cloud with no rain is the counter example, so the answer is (A).
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