Question:
A, B and C are three students from Don School and P, Q and R are three students from Elite School. Q is brighter than R but duller than the Don School student who is brighter than A. The same Don School student is duller than P but is brighter than C.
Who is the dullest amongst the three students from Elite School?
A, B and C are three students from Don School and P, Q and R are three students from Elite School. Q is brighter than R but duller than the Don School student who is brighter than A. The same Don School student is duller than P but is brighter than C.
Who is the dullest amongst the three students from Elite School?
Who is the dullest amongst the three students from Elite School?
Show Hint
Work out the order among just P, Q and R using the two direct comparisons that link them.
Updated On: Jul 15, 2026
- P
- Q
- R
- Cannot be decided
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Identify B as the Don School student described in the clues.
A, B and C are the three Don School students. The unnamed student who is brighter than A and also brighter than C cannot be A or C, since neither can be brighter than themselves. So this student is B.
Step 2: List the comparisons that involve P, Q and R.
The clues give P is brighter than B, B is brighter than Q, and separately Q is brighter than R.
Step 3: Connect P, Q and R directly.
Since P is brighter than B and B is brighter than Q, it follows that P is brighter than Q. Combined with the direct clue Q is brighter than R, the order among the three Elite School students becomes P, then Q, then R.
Step 4: Read off the dullest of the three.
In the order P, Q, R, R sits at the bottom of this group, meaning R is duller than both P and Q.
Step 5: Verify against the options.
P cannot be the dullest since it is shown to be the brightest of the three. Q cannot be the dullest since Q is brighter than R. Cannot be decided does not apply because the clues fully fix the order P, Q, R. Therefore R is the dullest among the three Elite School students.
A, B and C are the three Don School students. The unnamed student who is brighter than A and also brighter than C cannot be A or C, since neither can be brighter than themselves. So this student is B.
Step 2: List the comparisons that involve P, Q and R.
The clues give P is brighter than B, B is brighter than Q, and separately Q is brighter than R.
Step 3: Connect P, Q and R directly.
Since P is brighter than B and B is brighter than Q, it follows that P is brighter than Q. Combined with the direct clue Q is brighter than R, the order among the three Elite School students becomes P, then Q, then R.
Step 4: Read off the dullest of the three.
In the order P, Q, R, R sits at the bottom of this group, meaning R is duller than both P and Q.
Step 5: Verify against the options.
P cannot be the dullest since it is shown to be the brightest of the three. Q cannot be the dullest since Q is brighter than R. Cannot be decided does not apply because the clues fully fix the order P, Q, R. Therefore R is the dullest among the three Elite School students.
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