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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)
    1
  • b)
    2
  • c)
    3
  • d)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A, B, C, D, E and F are cousins. No two cousins are of the same age, b...
Possible Orders of Cousins by Age:

1. A, C, D, B, F, E
2. C, A, D, B, F, E

Explanation:

Given that all six cousins have birthdays on the same day of the same month, we can assume that they are born in the same year. Therefore, the age difference between them is the only factor that determines their order.

We are given that the youngest cousin is 17 years old and the oldest cousin E is 22 years old. So, the age of the cousins can be arranged in the following order:

17 < b="" />< f="" />< d="" />< c="" />< a="" />< e="" />< />

We are also given that F is somewhere between B and D in age. So, the possible positions of F are:

- F is older than B and younger than D
- F is younger than B and older than D

We are given that A is older than B and C is older than D. A is also one year older than C. So, the possible positions of A, B, C, and D are:

- A is older than C and both are older than B and D
- C is older than A and both are older than B and D

Based on the above conditions, we can come up with the two possible orders of the cousins by age as mentioned above. Therefore, the answer is option (B) 2.
Community Answer
A, B, C, D, E and F are cousins. No two cousins are of the same age, b...
The two orders could be B F D C A E or D F B 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)1b)2c)3d)4Correct answer is option 'B'. 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)1b)2c)3d)4Correct answer is option 'B'. 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)1b)2c)3d)4Correct answer is option 'B'. 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)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?.
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