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 among the following was born immediately before G?
Correct Answer :
F
Solution :
To find out who was born immediately before G, let us systematically list the possible dates and analyze the given clues step-by-step.
First, we have 4 months with 2 dates each (5th and 12th):
1. January (31 days) — 5th Jan, 12th Jan
2. March (31 days) — 5th Mar, 12th Mar
3. April (30 days) — 5th Apr, 12th Apr
4. June (30 days) — 5th Jun, 12th Jun
Let us write down the chronological order of these 8 dates:
1. January 5 (Odd date, 31 days)
2. January 12 (Even date, 31 days)
3. March 5 (Odd date, 31 days)
4. March 12 (Even date, 31 days)
5. April 5 (Odd date, 30 days)
6. April 12 (Even date, 30 days)
7. June 5 (Odd date, 30 days)
8. June 12 (Even date, 30 days)
Step 1: Locate C
Clue: "C was born on an odd date in the month having even number of days."
The months with an even number of days (30 days) are April and June.
The odd date is the 5th.
So, C was born on either April 5 or June 5.
Case 1: C is born on April 5 (Position 5)
Clue: "Three persons were born between C and F."
If C is at position 5, F must be at position 1 (January 5) because counting three positions after 5 goes to 9, which does not exist.
Let us check: Positions between 1 and 5 are 2, 3, and 4 (three persons). This is valid.
Now, F is at Position 1.
Clue: "As many persons were born before F as after B."
Since 0 persons were born before F (Position 1), 0 persons must be born after B. Therefore, B must be at Position 8 (June 12).
Clue: "Four persons were born between D and B."
If B is at Position 8, counting four positions before B (7, 6, 5, 4) puts D at Position 3 (March 5).
Clue: "G was born immediately before D."
Since D is at Position 3, G must be at Position 2 (January 12).
Clue: "A was born on an odd date."
The remaining positions are 4 (March 12), 6 (April 12), and 7 (June 5).
The only available odd position left is Position 7 (June 5). So, A must be at Position 7.
Clue: "E was born before H."
The remaining empty positions are 4 (March 12) and 6 (April 12).
Since E was born before H, E must be at Position 4 and H must be at Position 6.
Let us write down the final arrangement for Case 1:
1. January 5 — F
2. January 12 — G
3. March 5 — D
4. March 12 — E
5. April 5 — C
6. April 12 — H
7. June 5 — A
8. June 12 — B
All conditions are satisfied under this case. Now let's answer the question based on this schedule:
"Who among the following was born immediately before G?"
Looking at our schedule, G was born on January 12 (Position 2). The person born immediately before G (Position 1, January 5) is F.
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