Question:medium

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,

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

The Correct Option is B

Solution and Explanation

Peter is given as not a Belissima. Let's test each option to see which one is forced to be true no matter what.

  1. Peter is an Elissima: Not being a Belissima does not automatically make someone an Elissima, they could be a Cassandra instead. So this claim goes too far.
  2. If Peter is a Queen, he is an Elissima or Cassandra: The rule for Elissima says a Queen is an Elissima only when it avoids both Belissima and Cassandra. So a Queen who is not a Belissima has just two options left, Cassandra, or Elissima if Cassandra is also avoided. Adding 'if Peter is a Queen' up front makes this airtight.
  3. If Peter is not an Elissima, he is a Cassandra: This looks similar but skips the 'Peter is a Queen' condition. Imagine Peter is not a Queen at all, then he is automatically not an Elissima, which is true, but he is also automatically not a Cassandra, which is false for this claim, since neither label can apply outside the Queen group. That combination breaks the claim, so it cannot always hold.
  4. None of the above: Ruled out since option (2) does hold up.

The difference between options (2) and (3) comes down to one missing condition: option (2) protects itself by first requiring Peter to be a Queen, option (3) does not, and that gap is exactly where it can fail.

Let's summarize:

  • Not being a Belissima only rules out one label, it still leaves two doors open, Cassandra or Elissima.
  • Any conclusion about Peter needs to first check whether he is even a Queen, otherwise none of the personality labels apply to him.

So the statement that must be true is option (2).

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