Which of the following combinations is correct?

Read the following information carefully and answer the questions.

Six persons – A, B, C, D, E and F were born in six different months of the same year – January, March, May, July, September and November (not necessarily in the same order). Each of them also likes a different adventure activity – Trekking, Paragliding, Scuba Diving, Rafting, Skydiving and Bungee Jumping (not necessarily in the same order).

The one who likes skydiving was born four months after E. The number of persons born before E is one more than the number persons born after D. D was born immediate after the one who lives scuba diving. Two persons were born between the ones who like scuba diving and rafting A was born two months after the one who likes rafting. Three persons were born between A and the one who likes Paragliding. Two persons were born between C and the one who likes bungee Jumping. B was born after E.

The correct option is E – May – Bungee Jumping.

Let us analyze the given information step-by-step to determine the birth month and adventure activity of each person. The six months in chronological order are:

1. January (31 days)
2. March (31 days)
3. May (31 days)
4. July (31 days)
5. September (30 days)
6. November (30 days)

Step 1: Determine the positions of E, Skydiving, and D.
The clue states: "The one who likes skydiving was born four months after E."
Let's check the gap in months between our list:
- If E is born in January, 4 months after January is May. So the one who likes skydiving is born in May. This is a valid scenario.
- If E is born in March, 4 months after March is July. So the one who likes skydiving is born in July. This is also valid.
- If E is born in May, 4 months after May is September. So the one who likes skydiving is born in September. This is valid.
- If E is born in July, 4 months after July is November. So the one who likes skydiving is born in November. This is valid.
- E cannot be born in September or November as there are no months 4 months later in the same year.

Another clue: "B was born after E."
Another clue: "The number of persons born before E is one more than the number of persons born after D."
Let $N$_before(E) be the number of persons born before E, and $N$_after(D) be the number of persons born after D. The relationship is:
$N$_before(E) = N_after(D) + 1

Let's test the possible positions for E (from 1st to 6th birth order):
- Case 1: E is 1st (January)
Then $N$_before(E) = 0.
This gives $0\; =\; N$_after(D) + 1 ⇒ N_after(D) = -1, which is impossible.
- Case 2: E is 2nd (March)
Then $N$_before(E) = 1.
This gives $1\; =\; N$_after(D) + 1 ⇒ N_after(D) = 0. Thus, D must be the last person (6th, November).
If E is in March, the one who likes skydiving is in July (4 months after March).
- Case 3: E is 3rd (May)
Then $N$_before(E) = 2.
This gives $2\; =\; N$_after(D) + 1 ⇒ N_after(D) = 1. Thus, D must be the 5th person (September).
If E is in May, the one who likes skydiving is in September (4 months after May). But D is in September, so D would have to like skydiving.
- Case 4: E is 4th (July)
Then $N$_before(E) = 3.
This gives $3\; =\; N$_after(D) + 1 ⇒ N_after(D) = 2. Thus, D must be the 4th person (July). But E is in July, so this is a conflict.

Thus, E must be born in March (2nd position) and D must be born in November (6th position). Since B was born after E, B can be born in May, July, September, or November (but D is in November, so B can be in May, July, or September).

Step 2: Determine the placement of Scuba Diving and Rafting.
Clue: "D was born immediate after the one who likes scuba diving."
Since D is born in November (6th), the person born immediately before D is in September (5th). Therefore, the person born in September likes Scuba Diving.
Clue: "Two persons were born between the ones who like scuba diving and rafting."
The person who likes Scuba Diving is 5th (September). Since two persons are born between them, the one who likes Rafting must be 2nd (March). Thus, E (born in March) likes Rafting.

Step 3: Determine the position of A.
Clue: "A was born two months after the one who likes rafting."
The one who likes rafting is E, born in March. Two months after March is May. Therefore, A was born in May (3rd position).

Step 4: Determine the positions of Paragliding, B, C, and F.
Clue: "Three persons were born between A and the one who likes Paragliding."
A is in May (3rd). The person who likes Paragliding must be born either 3 positions before or after. In our order, three persons between 3rd (May) and another position means:
- If before: there are not enough positions.
- If after: three persons between 3rd and 7th. But there are only 6 positions. Wait, "three persons were born between A and the one who likes Paragliding" means:
If A is 3rd, the one who likes Paragliding must be 1st or 2nd or 4th or 5th or 6th. Specifically, the number of persons between them is exactly 3. So the positions would be: A (3rd), then three persons (4th, 5th, 6th), then the other person must be 7th, which is impossible.
Let us re-evaluate the clues, as there might be a difference between "months after" and "persons born between/after".
Let's check the wording:
- "The one who likes skydiving was born four months after E." (Month gap: March + 4 months = July. So E is March, Skydiving is July).
- "A was born two months after the one who likes rafting." (Rafting is in March, so A is in May).
- "Three persons were born between A and the one who likes Paragliding." If A is 3rd (May), and there are three persons between A and Paragliding, then Paragliding must be 1st or 2nd? No, if Paragliding is 1st (January), the persons between them are 2nd (March). That is only 1 person. If Paragliding is 6th (November) or if the order is different, let's re-verify.
Let's check if the correct option "E – May – Bungee Jumping" matches our derivation. In this option, E is born in May and likes Bungee Jumping. Let's trace if E = May works:
If E is born in May:
- "The one who likes skydiving was born four months after E" ⇒ September (since May is 5th month, September is 9th month, 9 - 5 = 4). So Skydiving = September.
- "The number of persons born before E is one more than the number persons born after D."
Months: Jan, Mar, May, July, Sept, Nov. E is in May (3rd month in list). So 2 persons (Jan, Mar) are born before E.
Thus, the number of persons born after D is 1 ($2\; -\; 1\; =\; 1$). So D must be born in September (5th month in list). This matches our Case 3 above, where we previously thought D cannot be September because D would have to like skydiving. Let's re-read carefully: "D was born immediate after the one who likes scuba diving." If D is in September, the one who likes scuba diving is born in July (4th month in list). This is perfectly fine!
- "Two persons were born between the ones who like scuba diving and rafting."
Scuba diving is in July (4th). Two persons between July and another month means the other is either 1st (January) or 6th (November). Let's say Rafting is in January (1st).
- "A was born two months after the one who likes rafting."
Rafting is in January. Two months after January is March. So A is born in March (2nd).
- "Three persons were born between A and the one who likes Paragliding."
A is in March (2nd). Three persons between A and the other person means the other person is in November (6th). So the one who likes Paragliding is born in November (6th). Since D is born in September, the person in November (6th) is not D. Let's check who is in November.
- "Two persons were born between C and the one who likes bungee Jumping."
- "B was born after E." Since E is in May (3rd), B must be born in July, September, or November.
Let's construct the table based on E = May:
1. January: Rafting
2. March: A
3. May: E (likes Bungee Jumping, from the correct option)
4. July: Scuba Diving (since D is in September and born immediate after July)
5. September: D (likes Skydiving, since Skydiving is 4 months after E/May)
6. November: Paragliding (three persons between A in March and Paragliding in November)
Let's check the remaining clues:
- "Two persons were born between C and the one who likes bungee Jumping."
The one who likes Bungee Jumping is E (May, 3rd). Two persons between 3rd and another means the other is either 6th (November) or there is no position before. So C must be born in November (6th) or January? No, two persons between 3rd and 6th is correct (4th and 5th are between them). So C is in November (6th).
- "B was born after E." E is 3rd. B can be 4th (July).
- The remaining person is F, who must be born in January (1st).
Let's verify the adventure activities:
- January: F – Rafting
- March: A – Trekking (remaining activity)
- May: E – Bungee Jumping
- July: B – Scuba Diving
- September: D – Skydiving
- November: C – Paragliding

This layout satisfies all conditions perfectly. Thus, the combination E – May – Bungee Jumping is correct.