Question:
Directions for questions 41 to 44: Ghosh Babu's new interest is psychology. He has identified various personality patterns and given them names. These personality patterns are inter-related as follows:
- All Alessandras, Belissimas, Cassandras, Desdemonas, Elissimas and Firdauses are Queens.
- All Alessandras are Belissimas.
- No Belissima that is not an Alessandra is a Firdaus.
- Some Cassandras are Alessandras.
- All Desdemonas are Cassandras.
- Some Cassandras are not Belissimas.
- No Desdemona is an Alessandra.
- All Queens and only Queens that are neither Belissimas nor Cassandras are Elissimas.
Peter is not a Belissima, therefore,
Directions for questions 41 to 44: Ghosh Babu's new interest is psychology. He has identified various personality patterns and given them names. These personality patterns are inter-related as follows:
- All Alessandras, Belissimas, Cassandras, Desdemonas, Elissimas and Firdauses are Queens.
- All Alessandras are Belissimas.
- No Belissima that is not an Alessandra is a Firdaus.
- Some Cassandras are Alessandras.
- All Desdemonas are Cassandras.
- Some Cassandras are not Belissimas.
- No Desdemona is an Alessandra.
- All Queens and only Queens that are neither Belissimas nor Cassandras are Elissimas.
Peter is not a Belissima, therefore,
- All Alessandras, Belissimas, Cassandras, Desdemonas, Elissimas and Firdauses are Queens.
- All Alessandras are Belissimas.
- No Belissima that is not an Alessandra is a Firdaus.
- Some Cassandras are Alessandras.
- All Desdemonas are Cassandras.
- Some Cassandras are not Belissimas.
- No Desdemona is an Alessandra.
- All Queens and only Queens that are neither Belissimas nor Cassandras are Elissimas.
Peter is not a Belissima, therefore,
Show Hint
Not being a Belissima leaves only two doors open for a Queen, Cassandra or Elissima, but check whether Peter is even a Queen before concluding anything.
Updated On: Jul 13, 2026
- Peter is an Elissima.
- If Peter is a Queen, he is an Elissima or Cassandra.
- If Peter is not an Elissima, he is a Cassandra.
- None of the above
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Use the Elissima rule.
The last clue says a Queen is an Elissima exactly when it is neither a Belissima nor a Cassandra. Turn that around: if someone is a Queen and is not a Belissima, then they must be either a Cassandra, or, if not Cassandra either, an Elissima, because being a Queen and not a Belissima leaves only those two doors open.
Step 2: Apply it to Peter.
We are told Peter is not a Belissima. If Peter also happens to be a Queen, then by Step 1 he must be an Elissima or a Cassandra. This is exactly option (2).
Step 3: Check why option (1) fails.
Option (1) claims Peter must be an Elissima outright. But he could just as easily be a Cassandra instead, or not a Queen at all, so this is not guaranteed.
Step 4: Check why option (3) fails.
Option (3) says ‘if Peter is not an Elissima, he is a Cassandra’, without ever requiring Peter to be a Queen. If Peter is not a Queen at all, none of these labels, Belissima, Cassandra, Elissima, apply to him. Then ‘Peter is not an Elissima’ is true, since he is not a Queen and so certainly not an Elissima, but ‘Peter is a Cassandra’ is false, since he is not a Queen and so not a Cassandra either. That breaks option (3), so it is not something we can always say.
Final Answer:
Option (2) is the only statement that must follow, because it carefully adds the condition ‘if Peter is a Queen’ before drawing the conclusion. \[ \boxed{\text{Option 2}} \]
The last clue says a Queen is an Elissima exactly when it is neither a Belissima nor a Cassandra. Turn that around: if someone is a Queen and is not a Belissima, then they must be either a Cassandra, or, if not Cassandra either, an Elissima, because being a Queen and not a Belissima leaves only those two doors open.
Step 2: Apply it to Peter.
We are told Peter is not a Belissima. If Peter also happens to be a Queen, then by Step 1 he must be an Elissima or a Cassandra. This is exactly option (2).
Step 3: Check why option (1) fails.
Option (1) claims Peter must be an Elissima outright. But he could just as easily be a Cassandra instead, or not a Queen at all, so this is not guaranteed.
Step 4: Check why option (3) fails.
Option (3) says ‘if Peter is not an Elissima, he is a Cassandra’, without ever requiring Peter to be a Queen. If Peter is not a Queen at all, none of these labels, Belissima, Cassandra, Elissima, apply to him. Then ‘Peter is not an Elissima’ is true, since he is not a Queen and so certainly not an Elissima, but ‘Peter is a Cassandra’ is false, since he is not a Queen and so not a Cassandra either. That breaks option (3), so it is not something we can always say.
Final Answer:
Option (2) is the only statement that must follow, because it carefully adds the condition ‘if Peter is a Queen’ before drawing the conclusion. \[ \boxed{\text{Option 2}} \]
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- All Alessandras, Belissimas, Cassandras, Desdemonas, Elissimas and Firdauses are Queens.
- All Alessandras are Belissimas.
- No Belissima that is not an Alessandra is a Firdaus.
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- All Alessandras, Belissimas, Cassandras, Desdemonas, Elissimas and Firdauses are Queens.
- All Alessandras are Belissimas.
- No Belissima that is not an Alessandra is a Firdaus.
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- All Desdemonas are Cassandras.
- Some Cassandras are not Belissimas.
- No Desdemona is an Alessandra.
- All Queens and only Queens that are neither Belissimas nor Cassandras are Elissimas.
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- All Alessandras, Belissimas, Cassandras, Desdemonas, Elissimas and Firdauses are Queens.
- All Alessandras are Belissimas.
- No Belissima that is not an Alessandra is a Firdaus.
- Some Cassandras are Alessandras.
- All Desdemonas are Cassandras.
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- No Desdemona is an Alessandra.
- All Queens and only Queens that are neither Belissimas nor Cassandras are Elissimas.
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