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A, B, C, D, E and F are cousins. No two cousins are of the same age, but all have birthdays on the same day of the same month. The youngest is 17 years old and the oldest E is 22 years old. F is somewhere between B and D in age. A is older than B. C is older than D. A is one year older than C. 
 
Q. What is the number of logically possible orders of all six cousins in terms of increasing age?  
  • a)
    2
  • b)
    1
  • c)
    3
  • d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A, B, C, D, E and F are cousins. No two cousins are of the same age, b...
E    A    C    B/D   F  D/B
22  21  20  19   18   17
Two orders is possible in increasing age
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Most Upvoted Answer
A, B, C, D, E and F are cousins. No two cousins are of the same age, b...
Given Information:
- Cousins: A, B, C, D, E, F
- No two cousins have the same age
- All cousins have birthdays on the same day of the same month
- Youngest cousin is 17 years old
- Oldest cousin E is 22 years old
- F is between B and D in age
- A is older than B
- C is older than D
- A is one year older than C

Analysis:
- We are given six cousins with different ages.
- The range of ages is from 17 to 22.
- From the given information, we can deduce some relationships between the cousins:
- F is between B and D in age.
- A is older than B.
- C is older than D.
- A is one year older than C.

Solution:
Step 1: Determine the Age Ranges
- The youngest cousin is 17 years old.
- The oldest cousin E is 22 years old.
- Therefore, the age range for cousins B, C, D, and F is 18 to 21.

Step 2: Determine the Position of A
- A is older than B and one year older than C.
- Since A is older than B, A cannot be the youngest cousin.
- Since A is one year older than C, A cannot be the oldest cousin.
- Therefore, A must be either the second youngest or the second oldest cousin.

Step 3: Determine the Position of E
- E is the oldest cousin and is 22 years old.
- Since A cannot be the oldest cousin, E must be the oldest cousin.
- Therefore, E is in the last position.

Step 4: Determine the Position of C
- C is older than D and A is one year older than C.
- Since A cannot be the oldest cousin, C cannot be the youngest cousin.
- Therefore, C must be the second youngest cousin.

Step 5: Determine the Position of B
- A is older than B.
- Since A cannot be the oldest cousin and C is the second youngest cousin, B must be the youngest cousin.

Step 6: Determine the Position of F
- F is between B and D in age.
- Since B is the youngest cousin and D is older than B, F must be older than B.
- Therefore, F must be in the third position.

Step 7: Determine the Position of D
- D is older than B and F is older than B.
- Since F is in the third position, D must be in the fourth position.

Step 8: Determine the Final Order
- Based on the above analysis, the final order of the cousins from youngest to oldest is:
- B, F, D, C, A, E

Conclusion:
- There is only one logically possible order of all six cousins in terms of increasing age, which is:
- B, F, D, C, A, E
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A, B, C, D, E and F are cousins. No two cousins are of the same age, but all have birthdays on the same day of the same month. The youngest is 17 years old and the oldest E is 22 years old. F is somewhere between B and D in age. A is older than B. C is older than D. A is one year older than C.Q. What is the number of logically possible orders of all six cousins in terms of increasing age? a)2b)1c)3d)4Correct answer is option 'A'. Can you explain this answer?
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A, B, C, D, E and F are cousins. No two cousins are of the same age, but all have birthdays on the same day of the same month. The youngest is 17 years old and the oldest E is 22 years old. F is somewhere between B and D in age. A is older than B. C is older than D. A is one year older than C.Q. What is the number of logically possible orders of all six cousins in terms of increasing age? a)2b)1c)3d)4Correct answer is option 'A'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A, B, C, D, E and F are cousins. No two cousins are of the same age, but all have birthdays on the same day of the same month. The youngest is 17 years old and the oldest E is 22 years old. F is somewhere between B and D in age. A is older than B. C is older than D. A is one year older than C.Q. What is the number of logically possible orders of all six cousins in terms of increasing age? a)2b)1c)3d)4Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B, C, D, E and F are cousins. No two cousins are of the same age, but all have birthdays on the same day of the same month. The youngest is 17 years old and the oldest E is 22 years old. F is somewhere between B and D in age. A is older than B. C is older than D. A is one year older than C.Q. What is the number of logically possible orders of all six cousins in terms of increasing age? a)2b)1c)3d)4Correct answer is option 'A'. Can you explain this answer?.
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