Read the following information carefully and answer the questions given below:

Eight persons — A, B, C, D, E, F, G and H — were born on two different dates i.e. 11th and 20th of four different months viz. August, October, November and December of the same year. No two persons were born on the same day.

G was born four persons before B. B was born in the month having even number of days. E was born two persons after G. A was born three persons before E. F was born in the month having even number of days. F was born after C. D was born on an odd number date.

Four of the following five are alike in a certain way and thus form a group. Find the one who doesn’t belong to the group?

The correct option is B.

Step-by-Step Explanation:

First, let's list the available 8 dates in chronological order based on the 4 months provided:

1. August 11 (31 days)
2. August 20 (31 days)
3. October 11 (31 days)
4. October 20 (31 days)
5. November 11 (30 days)
6. November 20 (30 days)
7. December 11 (31 days)
8. December 20 (31 days)

Now, let's analyze the given clues to determine the exact birth date of each person:

1. "B was born in the month having even number of days."
The month with an even number of days (30 days) is November. So, B was born on either November 11 or November 20.

2. "G was born four persons before B."
This means there are 3 persons between G and B.
- If B was born on November 20 (position 6), then G was born on August 20 (position 2).
- If B was born on November 11 (position 5), then G was born on August 11 (position 1).

3. "E was born two persons after G."
This means there is 1 person between G and E (E is 2 positions after G).
- Case 1: If G is on August 20 (pos 2), E must be on October 11 (pos 4).
- Case 2: If G is on August 11 (pos 1), E must be on August 20 (pos 3) — wait, position 3 is October 11. Let's check:

Let's map positions 1 to 8 carefully:
Pos 1: August 11
Pos 2: August 20
Pos 3: October 11
Pos 4: October 20
Pos 5: November 11
Pos 6: November 20
Pos 7: December 11
Pos 8: December 20

4. "A was born three persons before E."
This means A is 3 positions before E.
- If E is at Position 4 (October 20), then A must be at Position 1 (August 11).
Let's verify this setup:
Pos 1 (Aug 11): A
Pos 2 (Aug 20): G
Pos 3 (Oct 11): ?
Pos 4 (Oct 20): E (E is 2 persons after G: Pos 2 + 2 = Pos 4)
Pos 5 (Nov 11): ?
Pos 6 (Nov 20): B (G is 4 persons before B: Pos 6 - 4 = Pos 2)

5. "D was born on an odd number date."
The remaining empty positions are Pos 3 (Oct 11), Pos 5 (Nov 11), Pos 7 (Dec 11), Pos 8 (Dec 20).
The odd-numbered dates are 11th. Pos 3, Pos 5, and Pos 7 are all 11th.
Let's check the remaining clues for F and C:

6. "F was born in the month having even number of days."
The month with even number of days is November (Pos 5 or Pos 6). Since B is at Pos 6 (Nov 20), F MUST be at Pos 5 (Nov 11).

7. "F was born after C." and "D was born on an odd number date."
Since Pos 5 is F, the remaining odd date positions for D and C are Pos 3 (Oct 11) and Pos 7 (Dec 11).
Since F (Nov 11) was born after C, C must be born before F. Thus, C was born on October 11 (Pos 3).
This leaves D to be born on December 11 (Pos 7), which is an odd date.
Finally, H takes the remaining position, Pos 8 (Dec 20).

Let's summarize the final arrangement:

• August 11: A
• August 20: G
• October 11: C
• October 20: E
• November 11: F
• November 20: B
• December 11: D
• December 20: H

Now let's check the given options: E, C, G, B, A.

Look at the birth dates of each person in the options:
• E was born on October 20 (Even date: 20)
• C was born on October 11 (Odd date: 11)
• G was born on August 20 (Even date: 20)
• B was born on November 20 (Even date: 20)
• A was born on August 11 (Wait, let's look at another pattern: birth month or date position):

Alternatively, look at the date of birth:
• E: born on 20th
• C: born on 11th (Wait, let's check all options date types):
E (20th), C (11th), G (20th), B (20th), A (11th)?
Let's look at the months:
• E: 31 days month (October)
• C: 31 days month (October)
• G: 31 days month (August)
• B: 30 days month (November)
• A: 31 days month (August)

All four of E, C, G, and A were born in months having 31 days (August and October), whereas B was born in a month having 30 days (November). Therefore, B does not belong to the group.