Five students - P, Q, R, S, and T - are ranked based on their scores. If P is ranked higher than Q but lower than R, and S is ranked lower than T but higher than Q, who is ranked second?
Practice Questions
1 question
Q1
Five students - P, Q, R, S, and T - are ranked based on their scores. If P is ranked higher than Q but lower than R, and S is ranked lower than T but higher than Q, who is ranked second?
P
Q
R
S
The ranking is R > P > Q > S > T, making P the second highest.
Questions & Step-by-step Solutions
1 item
Q
Q: Five students - P, Q, R, S, and T - are ranked based on their scores. If P is ranked higher than Q but lower than R, and S is ranked lower than T but higher than Q, who is ranked second?
Solution: The ranking is R > P > Q > S > T, making P the second highest.
Steps: 6
Step 1: Identify the relationships given in the question. P is ranked higher than Q but lower than R, which means R > P > Q.
Step 2: Next, we know that S is ranked lower than T but higher than Q, which means T > S > Q.
Step 3: Now we combine the two pieces of information. From Step 1, we have R > P > Q, and from Step 2, we have T > S > Q.
Step 4: Since S is higher than Q and lower than T, we can place S in the ranking: R > P > Q < S < T.
Step 5: Now we need to determine the overall ranking. Since S is higher than Q and lower than T, we can place T at the top: R > P > S > Q > T.
Step 6: From the final ranking, we see that P is the second highest.
