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.

Who among the following was born in 20th October?

The correct option is E.

Step-by-Step Logic Breakdown:

Step 1: Understand the Given Dates and Months
There are 8 positions across 4 months (August, October, November, and December) on two dates (11th and 20th):
1. August 11 (31-day month)
2. August 20 (31-day month)
3. October 11 (31-day month)
4. October 20 (31-day month)
5. November 11 (30-day month - Even number of days)
6. November 20 (30-day month - Even number of days)
7. December 11 (31-day month)
8. December 20 (31-day month)

Step 2: Place B, G, E, and A
• "B was born in the month having even number of days." November is the only month with an even number of days (30 days), so B is born in November (either Nov 11 or Nov 20).
• "G was born four persons before B." (Position of G = Position of B - 4).
• "E was born two persons after G." (Position of E = Position of G + 2).
• "A was born three persons before E." (Position of A = Position of E - 3).

Let me test the positions for B:
- If B is on Nov 20 (Position 6):
- G is at Position 6 - 4 = Position 2 (Aug 20)
- E is at Position 2 + 2 = Position 4 (Oct 20)
- A is at Position 4 - 3 = Position 1 (Aug 11). This arrangement is completely valid!

- If B is on Nov 11 (Position 5):
- G would be at Position 5 - 4 = Position 1 (Aug 11)
- E would be at Position 1 + 2 = Position 3 (Oct 11)
- A would be at Position 3 - 3 = Position 0, which is invalid since there is no Position 0.

Step 3: Place F, C, D, and H
• "F was born in the month having even number of days." F must be in November. Since Nov 20 is occupied by B, F must be born on Nov 11 (Position 5).
• "F was born after C." C must be born before Position 5. The only open slot before Position 5 is Oct 11 (Position 3), so C is born on Oct 11.
• "D was born on an odd number date." The remaining empty slots are Dec 11 and Dec 20. Since 11 is odd, D is born on Dec 11 (Position 7).
• Finally, H takes the last remaining position on Dec 20 (Position 8).

Final Arrangement Table:

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

Therefore, E was born on 20th October.