Question Details

C, H, A, N, G and E, each have a different age. C’s age is 21 years, and C is younger than H and older than A. Four people have ages less than 21 years. Only one person is younger than N. G is not the youngest. G is younger than A. Who is the youngest?

Who is the youngest?

Options

A

N

B

G

C

E

D

A

Show Answer

Correct Answer :

Option C

E

Solution :

The correct answer is E.

Let's break down the given information step-by-step to find the age order of the six people: C, H, A, N, G, and E.

1. Analyze C's position:
We are told that C is 21 years old.
We are also told that "Four people have ages less than 21 years."
Since there are 6 people in total, and 4 people are younger than C (who is 21), C must be the 5th oldest person. This means there is only 1 person older than C, and C is older than the other 4 people.
Let's represent the positions from oldest (1st) to youngest (6th):
1st (Oldest) > 2nd (C) > 3rd > 4th > 5th > 6th (Youngest)

2. Determine the oldest person:
We are given that "C is younger than H".
Since H is older than C, and C has only one position above him, H must be the oldest person.
Our order now looks like this:
H > C (21) > _ > _ > _ > _

3. Position of N:
We are told that "Only one person is younger than N."
This means N is in the 5th position, with exactly one person (the 6th/youngest) below him:
H > C (21) > _ > _ > N > _

4. Relative ages of A, G, and E:
We are given:
- "C is ... older than A" (so A is younger than C).
- "G is younger than A" (so the order is A > G).
- "G is not the youngest."

Since A and G must fit into the remaining positions below C, and G is younger than A but not the youngest, G cannot be in the 6th position.
Let's look at the remaining vacant positions: 3rd, 4th, and 6th (youngest).
Since A is older than G, and G cannot be in the 6th position, the only way to arrange A and G such that A > G is to place A in the 3rd position and G in the 4th position.
This gives us:
H > C (21) > A > G > N > _

5. Find the youngest person:
The only person left to be placed is E.
E must occupy the final remaining spot, which is the 6th position (the youngest).
Therefore, the complete age order from oldest to youngest is:
H > C > A > G > N > E

Thus, E is the youngest.

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