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persons A, B, C, D, E and F are 6, 8, 11, 16, 17 and 21 years old not necessarily in the same order. A is older than B but younger than F. C is 10 years older than B. F is not 17 years old. C is older than F. D is not the oldest person. What is the difference between the ages of A and E?
- a)5 years
- b)10 years
- c)13 years
- d)6 years
Correct answer is option 'C'. Can you explain this answer?
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persons A, B, C, D, E and F are 6, 8, 11, 16, 17 and 21 years old not ...
C is 10 years older than B. Therefore, the ages of C and B can be (16,6) or (21,11) in that order.
A is older than B but younger than F.
C is older than F.
A is older than B but younger than F.
C is older than F.
If the age of B is 11, then the age of A must be 16, the age of F must be 17 and age of C must be 21. However, it has been given that C is not 17 years old and hence, we can eliminate this condition.
Therefore, B must be 6 years old, A must be 8 years old, F must be 11 years old and C must be 16 years old. D is not the oldest person. Therefore, D must be 17 years old and E must be 21 years old.
Difference between the ages of A and E = 21 - 8 = 13 years. Therefore, option C is the right answer.
Most Upvoted Answer
persons A, B, C, D, E and F are 6, 8, 11, 16, 17 and 21 years old not ...
Understanding the Problem
We have six persons A, B, C, D, E, and F with ages 6, 8, 11, 16, 17, and 21 years. We need to determine the ages based on the clues provided.
Clue Analysis
- A is older than B but younger than F.
This indicates: B < a="" />< />
- C is 10 years older than B.
So, if B is x years old, then C is x + 10.
- F is not 17 years old.
F can only be 21, 16, or 11.
- C is older than F.
Therefore, C > F.
- D is not the oldest person.
This means D cannot be 21 years old.
Age Assignments
Let's examine the possible ages step-by-step:
1. If B is 6, C would be 16 (6 + 10), leaving F to be older than 16. But F cannot be 17, so F has to be 21. Hence, A is 11 (since A has to be older than 6 and younger than 21). This assignment works:
- A = 11
- B = 6
- C = 16
- F = 21
2. D must be 8 (the only age left), confirming D is not the oldest.
Now, we have:
- A = 11
- B = 6
- C = 16
- D = 8
- E = 17
- F = 21
Calculating the Age Difference
Now, we need to find the difference between the ages of A and E:
- A = 11
- E = 17
Difference:
The difference between A and E is 17 - 11 = 6 years.
Conclusion
The correct answer is not option 'C' (which states 13 years) based on the initial analysis. The actual difference is 6 years, which would align with the 6 years option if it was provided. Please verify the problem statement for any potential errors.
We have six persons A, B, C, D, E, and F with ages 6, 8, 11, 16, 17, and 21 years. We need to determine the ages based on the clues provided.
Clue Analysis
- A is older than B but younger than F.
This indicates: B < a="" />< />
- C is 10 years older than B.
So, if B is x years old, then C is x + 10.
- F is not 17 years old.
F can only be 21, 16, or 11.
- C is older than F.
Therefore, C > F.
- D is not the oldest person.
This means D cannot be 21 years old.
Age Assignments
Let's examine the possible ages step-by-step:
1. If B is 6, C would be 16 (6 + 10), leaving F to be older than 16. But F cannot be 17, so F has to be 21. Hence, A is 11 (since A has to be older than 6 and younger than 21). This assignment works:
- A = 11
- B = 6
- C = 16
- F = 21
2. D must be 8 (the only age left), confirming D is not the oldest.
Now, we have:
- A = 11
- B = 6
- C = 16
- D = 8
- E = 17
- F = 21
Calculating the Age Difference
Now, we need to find the difference between the ages of A and E:
- A = 11
- E = 17
Difference:
The difference between A and E is 17 - 11 = 6 years.
Conclusion
The correct answer is not option 'C' (which states 13 years) based on the initial analysis. The actual difference is 6 years, which would align with the 6 years option if it was provided. Please verify the problem statement for any potential errors.
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persons A, B, C, D, E and F are 6, 8, 11, 16, 17 and 21 years old not necessarily in the same order. A is older than B but younger than F. C is 10 years older than B. F is not 17 years old. C is older than F. D is not the oldest person. What is the difference between the ages of A and E?a)5 yearsb)10 yearsc)13 yearsd)6 yearsCorrect answer is option 'C'. Can you explain this answer?
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persons A, B, C, D, E and F are 6, 8, 11, 16, 17 and 21 years old not necessarily in the same order. A is older than B but younger than F. C is 10 years older than B. F is not 17 years old. C is older than F. D is not the oldest person. What is the difference between the ages of A and E?a)5 yearsb)10 yearsc)13 yearsd)6 yearsCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about persons A, B, C, D, E and F are 6, 8, 11, 16, 17 and 21 years old not necessarily in the same order. A is older than B but younger than F. C is 10 years older than B. F is not 17 years old. C is older than F. D is not the oldest person. What is the difference between the ages of A and E?a)5 yearsb)10 yearsc)13 yearsd)6 yearsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for persons A, B, C, D, E and F are 6, 8, 11, 16, 17 and 21 years old not necessarily in the same order. A is older than B but younger than F. C is 10 years older than B. F is not 17 years old. C is older than F. D is not the oldest person. What is the difference between the ages of A and E?a)5 yearsb)10 yearsc)13 yearsd)6 yearsCorrect answer is option 'C'. Can you explain this answer?.
persons A, B, C, D, E and F are 6, 8, 11, 16, 17 and 21 years old not necessarily in the same order. A is older than B but younger than F. C is 10 years older than B. F is not 17 years old. C is older than F. D is not the oldest person. What is the difference between the ages of A and E?a)5 yearsb)10 yearsc)13 yearsd)6 yearsCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about persons A, B, C, D, E and F are 6, 8, 11, 16, 17 and 21 years old not necessarily in the same order. A is older than B but younger than F. C is 10 years older than B. F is not 17 years old. C is older than F. D is not the oldest person. What is the difference between the ages of A and E?a)5 yearsb)10 yearsc)13 yearsd)6 yearsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for persons A, B, C, D, E and F are 6, 8, 11, 16, 17 and 21 years old not necessarily in the same order. A is older than B but younger than F. C is 10 years older than B. F is not 17 years old. C is older than F. D is not the oldest person. What is the difference between the ages of A and E?a)5 yearsb)10 yearsc)13 yearsd)6 yearsCorrect answer is option 'C'. Can you explain this answer?.
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