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?
Correct Answer :
H
Solution :
To find out who was born on 12th April, let us arrange the information step-by-step in chronological order. First, let us list all the possible birth dates with the number of days in each month:
1. 5th January (31 days)
2. 12th January (31 days)
3. 5th March (31 days)
4. 12th March (31 days)
5. 5th April (30 days)
6. 12th April (30 days)
7. 5th June (30 days)
8. 12th June (30 days)
Step 1: Determine the position of 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 was born on either 5th April or 5th June.
Three persons were born between C and F. Let us analyze the two possible cases:
Case 1: C was born on 5th April (Position 5)
If C is at position 5, then F must be born on 5th January (Position 1) so that there are three persons (12th January, 5th March, and 12th March) between them.
Case 2: C was born on 5th June (Position 7)
If C is at position 7, then F must be born on 5th March (Position 3) so that there are three persons (12th March, 5th April, and 12th April) between them.
Step 2: Apply the next clues to eliminate the invalid case
Let us evaluate the statement: "As many persons were born before F as after B."
In Case 2:
F is at position 3, meaning 2 persons were born before F. Thus, 2 persons must be born after B, which places B on 12th April (Position 6).
Next, "Four persons were born between D and B." Since B is at position 6, D must be at position 1 (5th January) to have four persons between them.
However, the clue says "G was born immediately before D." Since D is at position 1, no one can be born before D. Thus, Case 2 is eliminated.
In Case 1:
F is at position 1, meaning 0 persons were born before F. Thus, 0 persons must be born after B, which places B on 12th June (Position 8).
Since B is at position 8, and four persons were born between D and B, D must be born on 5th March (Position 3).
Since G was born immediately before D, G must be born on 12th January (Position 2).
Step 3: Place the remaining persons (A, E, and H)
The remaining positions to fill are:
- Position 4: 12th March
- Position 6: 12th April
- Position 7: 5th June
We are given that "A was born on an odd date." The only remaining odd position is position 7 (5th June). Therefore, A was born on 5th June.
Finally, "E was born before H." The remaining positions are 12th March (position 4) and 12th April (position 6). Since E was born before H, E must be born on 12th March and H must be born on 12th April.
Final Arrangement:
- 5th January: F
- 12th January: G
- 5th March: D
- 12th March: E
- 5th April: C
- 12th April: H
- 5th June: A
- 12th June: B
Therefore, H was born on 12th April.
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