Question:
Statement 1: Some aeroplanes are balloons.
Statement 2: Some balloons are rockets.
Assuming these statements are true, which conclusions follow?
(a) Some aeroplanes are rockets
(b) Some rockets are tables
(c) All the rockets are balloons
(d) All the balloons are aeroplanes
Statement 1: Some aeroplanes are balloons.
Statement 2: Some balloons are rockets.
Assuming these statements are true, which conclusions follow? (a) Some aeroplanes are rockets
(b) Some rockets are tables
(c) All the rockets are balloons
(d) All the balloons are aeroplanes
Statement 2: Some balloons are rockets.
Assuming these statements are true, which conclusions follow? (a) Some aeroplanes are rockets
(b) Some rockets are tables
(c) All the rockets are balloons
(d) All the balloons are aeroplanes
Show Hint
“Some” does not imply “All.” Be cautious when converting partial statements into universal ones.
Updated On: Aug 11, 2025
- Only (b) and (d)
- Only (a) and (c)
- Only (d)
- None of the above.
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The Correct Option is C
Solution and Explanation
Step 1: Analyze the conclusions
(a) Some aeroplanes are rockets: Not logically valid. No direct or indirect link is established.
(b) Some rockets are tables: Irrelevant and unconnected to the premises.
(c) All the rockets are balloons: No such universal link provided.
(d) All the balloons are aeroplanes: This is also not logically valid — Statement 1 says “Some” aeroplanes are balloons, not “All.”
But wait! Option (c) says "Only (d)" — this is a logical inconsistency since (d) doesn't follow. Actually, none of the conclusions follow. % Final Answer \[ \boxed{\text{None of the above}} \]
(a) Some aeroplanes are rockets: Not logically valid. No direct or indirect link is established.
(b) Some rockets are tables: Irrelevant and unconnected to the premises.
(c) All the rockets are balloons: No such universal link provided.
(d) All the balloons are aeroplanes: This is also not logically valid — Statement 1 says “Some” aeroplanes are balloons, not “All.”
But wait! Option (c) says "Only (d)" — this is a logical inconsistency since (d) doesn't follow. Actually, none of the conclusions follow. % Final Answer \[ \boxed{\text{None of the above}} \]
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