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Six students A, B, C, D, E and F appeared in several tests. Either C or F scores the highest. Whenever C scores the highest, then E scores the least, Whenever F scores the highest, B scores the least.
In all the tests they got different marks; D scores higher than A, but they are close competitors; A scores higher than B; C scores higher than A.
Q. If B scores the least, the rank of C will be
[2019]
  • a)
    Second
  • b)
    Third
  • c)
    Fourth
  • d)
    Second or third
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Six students A, B, C, D, E and F appeared in several tests. Either C o...
To determine the rank of C, we need to consider the given rules and information. Let's analyze the given conditions step by step:

1. Either C or F scores the highest:
- This means that in every test, either C or F will have the highest score. It implies that both C and F are top performers.

2. Whenever C scores the highest, E scores the least:
- Whenever C performs the best, E will have the lowest score among all the students.

3. Whenever F scores the highest, B scores the least:
- Whenever F performs the best, B will have the lowest score among all the students.

4. D scores higher than A, but they are close competitors:
- This indicates that D and A are both good performers, but D consistently scores higher than A.

5. A scores higher than B:
- A is a better performer than B.

6. C scores higher than A:
- C performs better than A.

Based on these conditions, we can infer the following:

- C and F are top performers, and whenever one of them scores the highest, the other one scores the least.
- D scores higher than A, indicating that D is a better performer than A.
- A scores higher than B, implying that B is the weakest performer among the six students.

Now, let's consider the different scenarios:

1. If F scores the highest:
- In this case, B will score the least.
- Since C is a top performer and scores higher than A, and A scores higher than B, the rank of C will be second.

2. If C scores the highest:
- In this case, E will score the least.
- Since C is a top performer and scores higher than A, and A scores higher than B, the rank of C will be second.

Therefore, regardless of whether F or C scores the highest, the rank of C will be second. Hence, the correct answer is option 'D' - second or third.
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Community Answer
Six students A, B, C, D, E and F appeared in several tests. Either C o...
Case - I: When C gets highest marks,
(i) E < F < B < A < D < C   or,
(ii) E < B < F < A < D < C   or,
(iii) E < B < A < D < F < C.
Case - II: When F Scores highest,
(i) B < A < D < C < E < F.  or,
(ii) B < A < D < E < C < F.
From Case II, When B score the least then C stand either second or third.
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Six students A, B, C, D, E and F appeared in several tests. Either C or F scores the highest. Whenever C scores the highest, then Escores the least, Whenever F scores the highest, B scores the least.In all the tests they got different marks; D scores higher than A, but they are close competitors; A scores higher than B; C scores higher than A.Q.If B scores the least, the rank of C will be[2019]a)Secondb)Thirdc)Fourthd)Second or thirdCorrect answer is option 'D'. Can you explain this answer?
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Six students A, B, C, D, E and F appeared in several tests. Either C or F scores the highest. Whenever C scores the highest, then Escores the least, Whenever F scores the highest, B scores the least.In all the tests they got different marks; D scores higher than A, but they are close competitors; A scores higher than B; C scores higher than A.Q.If B scores the least, the rank of C will be[2019]a)Secondb)Thirdc)Fourthd)Second or thirdCorrect answer is option 'D'. 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 Six students A, B, C, D, E and F appeared in several tests. Either C or F scores the highest. Whenever C scores the highest, then Escores the least, Whenever F scores the highest, B scores the least.In all the tests they got different marks; D scores higher than A, but they are close competitors; A scores higher than B; C scores higher than A.Q.If B scores the least, the rank of C will be[2019]a)Secondb)Thirdc)Fourthd)Second or thirdCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Six students A, B, C, D, E and F appeared in several tests. Either C or F scores the highest. Whenever C scores the highest, then Escores the least, Whenever F scores the highest, B scores the least.In all the tests they got different marks; D scores higher than A, but they are close competitors; A scores higher than B; C scores higher than A.Q.If B scores the least, the rank of C will be[2019]a)Secondb)Thirdc)Fourthd)Second or thirdCorrect answer is option 'D'. Can you explain this answer?.
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