In a group of friends, M is older than N but younger than O. P is older than M b

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Question: In a group of friends, M is older than N but younger than O. P is older than M but younger than Q. Who is the youngest? (2023)

Options:

Correct Answer: N

Exam Year: 2023

Solution:

The order can be deduced as O > M > N and Q > P > M. Thus, the complete order is O > M > N > P > Q, making N the youngest.

In a group of friends, M is older than N but younger than O. P is older than M but younger than Q. Who is the youngest? (2023)

In a group of friends, M is older than N but younger than O. P is older than M but younger than Q. Who is the youngest? (2023)

Step 1: Identify the relationships given in the question. M is older than N but younger than O. This means O is the oldest among M and N.
Step 2: Write down the order from the first relationship: O > M > N.
Step 3: Now look at the second part: P is older than M but younger than Q. This means Q is the oldest among P and M.
Step 4: Write down the order from the second relationship: Q > P > M.
Step 5: Combine the two orders: From the first, we have O > M > N, and from the second, we have Q > P > M.
Step 6: Since M is in both orders, we can place them together: O > M > N and Q > P > M.
Step 7: To combine these, we can see that O is older than M, M is older than N, and P is older than M but younger than Q. This gives us the complete order: O > M > N > P > Q.
Step 8: Now, look for the youngest person in the order. N is the last in the order, which means N is the youngest.

Inequalities and Order Relations – Understanding and deducing relationships based on comparative statements about age.
Logical Reasoning – Using logical deduction to arrange individuals based on given conditions.