In a group of friends, P, Q, R, S, and T, P is taller than Q but shorter than R. S is shorter than T but taller than Q. Who is the tallest? (2023)
Practice Questions
1 question
Q1
In a group of friends, P, Q, R, S, and T, P is taller than Q but shorter than R. S is shorter than T but taller than Q. Who is the tallest? (2023)
P
Q
R
T
R is taller than P, who is taller than Q, and since S is shorter than T but taller than Q, T must be the tallest.
Questions & Step-by-step Solutions
1 item
Q
Q: In a group of friends, P, Q, R, S, and T, P is taller than Q but shorter than R. S is shorter than T but taller than Q. Who is the tallest? (2023)
Solution: R is taller than P, who is taller than Q, and since S is shorter than T but taller than Q, T must be the tallest.
Steps: 8
Step 1: Identify the relationships between the heights of P, Q, R, S, and T based on the information given.
Step 2: From the question, we know that P is taller than Q but shorter than R. This means R > P > Q.
Step 3: Next, we know that S is shorter than T but taller than Q. This means T > S > Q.
Step 4: Now we combine the information: R is taller than P, and P is taller than Q. So, R is taller than Q.
Step 5: Since S is taller than Q and T is taller than S, we can conclude that T is taller than S and S is shorter than T.
Step 6: Now we compare R and T. We know R > P > Q and T > S > Q. Since T is taller than S and S is shorter than R, we need to determine if T is taller than R.
Step 7: Since T is taller than S and S is shorter than R, we can conclude that T must be taller than R.
Step 8: Therefore, the tallest person in the group is T.
