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.
Who among the following likes Scuba Diving?
Correct Answer :
B
Solution :
To find out who likes Scuba Diving, let us analyze the given clues step-by-step and determine the birth month and adventure activity preference for each of the six persons: A, B, C, D, E, and F.
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)
Let us list the clues and build a table:
- Clue 1: The one who likes Skydiving was born 4 months after E.
Let's look at the gaps between the months:
- March is 2 months after January.
- May is 2 months after March, 4 months after January.
- July is 2 months after May, 4 months after March, 6 months after January.
- September is 2 months after July, 4 months after May.
- November is 2 months after September, 4 months after July.
Thus, for Skydiving to be 4 months after E, E must be born in one month and the Skydiving lover must be born 4 months later. The possible pairs (E, Skydiving) based on actual calendar month gaps are:
- If E is born in January, Skydiving is in May.
- If E is born in March, Skydiving is in July.
- If E is born in May, Skydiving is in September.
- If E is born in July, Skydiving is in November.
- Clue 2: The number of persons born before E is one more than the number of persons born after D.
Let's test the possible positions for E (from 1st to 6th in order: January, March, May, July, September, November):
- Case A: E is born in January (1st month). Number of persons before E = 0. But number of persons before E must be one more than those after D, which means persons after D = -1 (impossible). So E cannot be in January.
- Case B: E is born in March (2nd month). Number of persons before E = 1. Then persons after D = 0. This means D is born in the last month, November (6th month). Let's check: if E is in March, Skydiving is in July.
- Case C: E is born in May (3rd month). Number of persons before E = 2. Then persons after D = 1. This means D is born in September (5th month). If E is in May, Skydiving is in September (which conflicts with D being in September since D cannot be the one who likes Skydiving because Clue 3 says D was born immediately after the one who likes Scuba Diving, meaning D cannot be born in the same month as Skydiving if someone else is in that month; wait, let's verify if D can like Skydiving. There is only one person per month. If E is in May, the person born in September likes Skydiving. Since D is born in September, D would have to like Skydiving. Let's see if this is allowed. D was born immediately after the one who likes Scuba Diving. The month immediately before September is July. So the person born in July likes Scuba Diving. This is possible).
- Case D: E is born in July (4th month). Number of persons before E = 3. Then persons after D = 2. This means D is born in July (4th month). But E and D cannot both be born in July. So this is invalid.
Let us analyze Case B and Case C further:
Case B: E is born in March, D is born in November.
- Since E is in March, the person born in July likes Skydiving (from Clue 1: Skydiving is 4 months after E, i.e., March + 4 months = July).
- D is born in November. Clue 3: D was born immediately after the one who likes Scuba Diving. Since D is in November (6th month), the person born immediately before D is in September (5th month). Therefore, the person born in September likes Scuba Diving.
- Clue 4: Two persons were born between the ones who like Scuba Diving and Rafting. Since Scuba Diving is in September (5th month), the person who likes Rafting must be born in March (2nd month) (since 5 - 3 = 2, i.e., March, July, September has July and May in between? Wait, the months are January, March, May, July, September, November. The persons born between them refers to the order of persons, i.e., positions. The positions are:
1. January
2. March
3. May
4. July
5. September
6. November
If Scuba Diving is at position 5 (September), and there are two persons between Scuba Diving and Rafting, then Rafting must be at position 2 (March) (since positions 3 and 4 are between 2 and 5).
So, March likes Rafting. But E was born in March. Thus, E likes Rafting.
- Clue 5: 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. Thus, A was born in May (position 3).
- Clue 6: Three persons were born between A (May, position 3) and the one who likes Paragliding. Since A is at position 3, the only way to have three persons between them is if the other is at position 3 - 4 = -1 (impossible) or 3 + 4 = 7 (impossible, since there are only 6 positions). Therefore, Case B leads to a contradiction.
Case C: E is born in May (position 3), D is born in September (position 5).
- E is in May (position 3). The person born 4 months after E (May + 4 months = September) likes Skydiving. Since D is born in September (position 5), D likes Skydiving.
- D (September, position 5) was born immediately after the one who likes Scuba Diving. The position immediately before September is July (position 4). Thus, the person born in July likes Scuba Diving.
- Two persons were born between the ones who like Scuba Diving (July, position 4) and Rafting. Since Scuba Diving is at position 4, Rafting must be at position 1 (January) (with positions 2 and 3 in between). Therefore, the person born in January (position 1) likes Rafting.
- A was born two months after the one who likes Rafting. The one who likes Rafting is born in January (position 1). Two months after January is March (position 2). Thus, A was born in March (position 2).
- Three persons were born between A (March, position 2) and the one who likes Paragliding. With A at position 2, the one who likes Paragliding must be at position 2 + 4 = 6 (November) (with positions 3, 4, and 5 in between). Thus, the person born in November (position 6) likes Paragliding.
- Two persons were born between C and the one who likes Bungee Jumping.
- B was born after E. Since E is in May (position 3), B must be born in July, September, or November. But D is in September, so B can be in July (position 4) or November (position 6). Let's check:
- Let's place C: The remaining positions for persons are 1 (January), 4 (July), and 6 (November).
- If C is in January (position 1), then the one who likes Bungee Jumping must be at position 1 + 3 = 4 (July) (since two persons are between them, positions 2 and 3). This is possible.
- Let's check the placements if C is in January (position 1):
- January (position 1): C (likes Rafting)
- March (position 2): A
- May (position 3): E
- July (position 4): Likes Scuba Diving and Bungee Jumping (Contradiction! A person can only like one activity).
- Therefore, C cannot be in January (position 1).
- Let's try C in November (position 6): the one who likes Bungee Jumping must be at position 6 - 3 = 3 (May) (with positions 4 and 5 in between). This works! Thus, E (May, position 3) likes Bungee Jumping.
- This leaves position 1 (January) and position 4 (July) for B and F.
- Since B was born after E (May, position 3), B must be in July (position 4) or November (position 6). Since C is in November (position 6), B must be born in July (position 4).
- Consequently, F must be born in January (position 1).
- Let's determine the remaining activity for A (March): Trekking (since Rafting, Bungee Jumping, Scuba Diving, Skydiving, and Paragliding are taken).
Let's summarize the final schedule:
1. January: F (Rafting)
2. March: A (Trekking)
3. May: E (Bungee Jumping)
4. July: B (Scuba Diving)
5. September: D (Skydiving)
6. November: C (Paragliding)
We are asked: "Who among the following likes Scuba Diving?"
Based on our derivation, B is born in July and likes Scuba Diving.
Therefore, the correct answer is B.
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