P, Q, R, S, T, and U are six singers. U is a better singer than S. R cannot sing better than S. S is a better singer than P. Q is a better singer than T. Q cannot sing better than R or P. Who among these six is the worst singer?
P, Q, R, S, T, and U are six singers. U is a better singer than S. R cannot sing better than S. S is a better singer than P. Q is a better singer than T. Q cannot sing better than R or P. Who among these six is the worst singer?
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correct answer is: option d : T
Explanation: Let's analyze the given information to determine the singing order from best to worst.
U > S (U is a better singer than S)
S ≥ R (R cannot sing better than S) which means S is better or equal to R
S > P (S is a better singer than P)
Q > T (Q is a better singer than T)
R ≥ Q and P ≥ Q (Q cannot sing better than R or P) which means R and P are better than or equal to Q.
Combining these:
U > S > P ≥ Q > T
U > S ≥ R ≥ Q > T
From the above relationships, we can deduce that T is the worst singer since Q is better than T, and Q is at best better than T.
- Option a: P is better than Q and T, and S is better than P, so P cannot be the worst singer.
- Option b: R is better than or equal to Q and Q is better than T, and S is better or equal to R, so R cannot be the worst singer.
- Option c: Q is better than T, so Q cannot be the worst singer.
- Option d: T is the worst singer since all others are better than T.
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