Height of 6 girls P, Q, R, S, T and U is compared. Height of no two girls is same. R is taller than only four girls. U is taller than both S and P. S and P both are taller than both Q and T. Which of the following is a possible sequence of their heights?
I. U > R > S > P > T > Q
II. U > R > P > S > Q > T
Show answer & explanation
Correct answer: C
Explanation
Sequence I: U > R > S > P > T > Q
Here, R is in the second position (taller than the 4 girls S, P, T, and Q).
U is taller than S and P.
S and P are taller than Q and T.
This satisfies all the conditions.
Sequence II: U > R > P > S > Q > T
Here too, R is in the second position (taller than the 4 girls P, S, Q, and T).
U is taller than S and P.
S and P are taller than Q and T.
This also satisfies all the conditions.
(Note: In the question, the relative relationship between S, P and Q, T is not explicitly defined; therefore, both sequences are possible.)
Conclusion:
Since both Sequence I and Sequence II fulfill all the given conditions, the correct option is C.
Correct Answer: C) Both I and II