Eight persons — A, B, C, D, E, F, G and H — were born on two different dates i.e. 5th and 12th of four different months viz. January, March, April and June of the same year. No two persons were born on the same day. C was born on an odd date in the month having even number of days. Three persons were born between C and F. As many persons were born before F as after B. Four persons were born between D and B. G was born immediately before D. A was born on an odd date. E was born before H.

Who was born on 12th April?

The correct answer is H.

Let us analyze the given information step-by-step to determine the birthdates of all eight persons (A, B, C, D, E, F, G, and H).
The births occurred on two dates, the 5th and the 12th, across four months: January (31 days), March (31 days), April (30 days), and June (30 days).
We can set up the chronological order of the 8 slots as follows:
1. January 5th (Odd date, 31 days)
2. January 12th (Even date, 31 days)
3. March 5th (Odd date, 31 days)
4. March 12th (Even date, 31 days)
5. April 5th (Odd date, 30 days)
6. April 12th (Even date, 30 days)
7. June 5th (Odd date, 30 days)
8. June 12th (Even date, 30 days)

Step 1: Locate C and F
- C was born on an odd date (5th) in a month having an even number of days (April or June). Therefore, C could have been born on April 5th (Slot 5) or June 5th (Slot 7).
- Three persons were born between C and F.
• Case 1: If C is on April 5th (Slot 5), F must be on January 5th (Slot 1).
• Case 2: If C is on June 5th (Slot 7), F must be on March 5th (Slot 3).

Step 2: Locate B, D, and G
- As many persons were born before F as after B.
• In Case 1, F is in Slot 1 (0 people before F), so B must be in Slot 8 (June 12th).
• In Case 2, F is in Slot 3 (2 people before F), so B must be in Slot 6 (April 12th).
- Four persons were born between D and B.
• In Case 1, B is in Slot 8, so D must be in Slot 3 (March 5th).
• In Case 2, B is in Slot 6, so D must be in Slot 1 (January 5th).
- G was born immediately before D.
• In Case 1, D is in Slot 3 (March 5th), so G must be in Slot 2 (January 12th). This is valid.
• In Case 2, D is in Slot 1 (January 5th). Since there is no slot before January 5th, G cannot be placed. Thus, Case 2 is eliminated.

Step 3: Place the remaining persons (A, E, and H)
Following Case 1, the current arrangement is:
1. January 5th: F
2. January 12th: G
3. March 5th: D
4. March 12th: [Vacant]
5. April 5th: C
6. April 12th: [Vacant]
7. June 5th: [Vacant]
8. June 12th: B

- A was born on an odd date. The only remaining odd date slot is June 5th (Slot 7). Thus, A was born on June 5th.
- E was born before H. The remaining vacant slots are March 12th (Slot 4) and April 12th (Slot 6). Since E is born before H, E must be born on March 12th and H must be born on April 12th.

Final Arrangement:
1. January 5th: F
2. January 12th: G
3. March 5th: D
4. March 12th: E
5. April 5th: C
6. April 12th: H
7. June 5th: A
8. June 12th: B

Therefore, H was born on 12th April.