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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 F stands second in the ranking, then the position of B is
  • a)
    Third
  • b)
    Fourth
  • c)
    Fifth
  • d)
    Sixth
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Six students A, B, C, D, E and F appeared in several tests. Either C o...
Let’s first number the conditions given in question. There are eight conditions in all.
i. Six students A, B, C, D, E and F appeared in several tests.
ii. Either C or F scores the highest.
iii. Whenever C scores the highest, then E scores the least.
iv. Whenever F scores the highest, B scores the least.
v. In all the tests they got different marks;
vi. D scores higher than A, but they are close competitors;
vii. A scores higher than B;
viii. C scores higher than A
If F stands second, then by condition (ii), C will be first. If C is first (i.e., score highest) by condition (iii), E scores the least. And using conditions v, vi, vii and viii, we got the following order - C – F – D – A – B – E. Hence B stood fifth.
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Six students A, B, C, D, E and F appeared in several tests. Either C o...
Solution:

Given,

- 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.
- A scores higher than B.
- C scores higher than A.

Let us assume the rankings of the six students in the tests from highest to lowest.

- First place: C or F
- Second place: F or C
- Third place: D or A
- Fourth place: A or D
- Fifth place: B or E
- Sixth place: E or B

We know that if F stands second in the ranking, then B scores the least.

- If F stands second, then C will be first.
- As per the given conditions, B scores the least whenever F scores the highest.
- Therefore, F cannot score the highest and cannot be first.
- Hence, C must score the highest and be first.
- F will then be second.
- As per the given conditions, B scores the least whenever F scores the highest.
- Therefore, B must be the last or sixth.
- As per the rankings, E and B will be fifth and sixth.
- A scores higher than B. Therefore, A must be fourth and D must be third.
- Hence, the position of B is fifth or option (c).

Therefore, option (c) is the correct 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 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 F stands second in the ranking, then the position of B isa)Thirdb)Fourthc)Fifthd)SixthCorrect answer is option 'C'. 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 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 F stands second in the ranking, then the position of B isa)Thirdb)Fourthc)Fifthd)SixthCorrect answer is option 'C'. 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 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 F stands second in the ranking, then the position of B isa)Thirdb)Fourthc)Fifthd)SixthCorrect answer is option 'C'. 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 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 F stands second in the ranking, then the position of B isa)Thirdb)Fourthc)Fifthd)SixthCorrect answer is option 'C'. Can you explain this answer?.
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