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.

The number of persons born between C and F is ______ than the number of persons born between A and G.

To find the correct relation, let us first list the chronological order of the eight birth dates based on the months and dates given. The months are January (31 days), March (31 days), April (30 days), and June (30 days), and the dates are the 5th and 12th of each month:

1. January 5th
2. January 12th
3. March 5th
4. March 12th
5. April 5th
6. April 12th
7. June 5th
8. June 12th

Now, let us step-by-step place the persons A, B, C, D, E, F, G, and H on these positions using the clues:

Step 1: Locate C and F
We are told that C was born on an odd date (5th) in a month having an even number of days. The months with an even number of days are April and June. Therefore, C must be born on either April 5th or June 5th.
Let's check the two cases:

• Case 1: C is born on April 5th (Position 5)
  Since three persons were born between C and F, F must be born on January 5th (Position 1).
• Case 2: C is born on June 5th (Position 7)
  Since three persons were born between C and F, F must be born on March 5th (Position 3).

Step 2: Check F and B relation
We are told that "As many persons were born before F as after B."

• In Case 1 (F is at Position 1): There are 0 persons born before F. Thus, there must be 0 persons born after B, which places B on June 12th (Position 8).
• In Case 2 (F is at Position 3): There are 2 persons born before F (Jan 5th and Jan 12th). Thus, there must be 2 persons born after B, placing B on April 12th (Position 6).

Step 3: Locate D and G
We are told that "Four persons were born between D and B" and "G was born immediately before D."

• In Case 1 (B is at Position 8): To have four persons between D and B, D must be born on March 5th (Position 3). Since G was born immediately before D, G must be born on January 12th (Position 2). This is valid.
• In Case 2 (B is at Position 6): To have four persons between D and B, D must be born on January 5th (Position 1). However, G was born immediately before D, which is impossible since Position 1 is the first date. Thus, Case 2 is eliminated.

Step 4: Locate A, E, and H
Following Case 1, the remaining vacant dates are March 12th (Position 4), April 12th (Position 6), and June 5th (Position 7).
We are told that "A was born on an odd date." The only remaining odd date is June 5th (Position 7), so A is born on June 5th.
We are also told that "E was born before H." The remaining dates for them are March 12th (Position 4) and April 12th (Position 6). Therefore, E is born on March 12th, and H is 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

Conclusion:
- The number of persons born between C (Position 5) and F (Position 1) is 3 (namely G, D, and E).
- The number of persons born between A (Position 7) and G (Position 2) is 4 (namely D, E, C, and H).
Comparing the two, the number of persons born between C and F (3) is one less than the number of persons born between A and G (4).