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There are 6 students A, B, C, D, E, F who appeared in 6 different subjects, Physics, Chemistry, Maths, Biology, Computer Science and English such that no two students appeared for the same subject. They got different marks from among 80, 82, 84, 86, 88, 89 and their ranks in the particular subjects are among 1, 2, 3, 4, 5, 6, such that no two people got the same rank. Also, the following information is known regarding these 6 students:
  1. The numerical sum of the ranks and the marks of C and D are the same.
  2. 88 was scored in Biology.
  3. 84 was scored in Computer Science and the one who scored it was the topper.
  4. The score in English was not 86.
  5. 82 was not scored in Maths.
  6. B was not second, the person who was second scored 82.
  7. Neither A nor E had scored 82, nor were their scores scored in Biology or Physics.
  8. C had scored 86, but not in Physics.
  9. A did not score 84 or 89.
  10. D's score was in Maths.
Based on the information given above, answer the questions that follow.
 
Q. For how many people can we uniquely identify both the marks scored and the subject in which they appeared?
    Correct answer is '6'. Can you explain this answer?
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    There are 6 students A, B, C, D, E, F who appeared in 6 different subj...
    In these questions, we represent all possible alternatives in a tabular representation. With the help of the hints, we put a tick or a cross in each cell of the table if that particular cell is definitely true or if it is definitely false. After this, we again go over the table and eliminate any choice which has been rendered impossible by the hint. We represent the information in the question as follows:

    In the above representation, we have used the following abbreviations:
    In subjects: P - Physics
    C - Chemistry
    M - Maths
    B - Biology
    CS - Computer Science
    E - English
    We will start with the hints that give us direct information first.
    Using hint 7, neither A nor E had scored 82, nor were their scores scored in Biology or Physics.

    Using hint 8, C had scored 86, but not in Physics.

    Using hint 10, D's score was in Maths.

    Using hint 5, 82 was not scored in Maths.

    C scored 86 from point 8, also, 88 was scored in Biology and 84 was scored in Computer Science, so C did not appear in Biology or Computer Science.

    Using hint 4, the score in English was not 86.

    Hence, C gave the Chemistry exam.

    Since B and F will score in Physics and Biology, A and E will score in Computer Science and English.

    Using hint 9, A did not score 84 or 89.

    Using hint 3, 84 was scored in Computer Science and the one who scored it was the topper.

    Hence, A scored in English.

    Using hint 6, B was not second, the person who was second scored 82.

    Using hint 2, 88 was scored in Biology.

    Filling the remaining places,

    Using hint 1, the numerical sum of the ranks and the marks of C and D are the same.
    Thus we can uniquely identify both the marks scored and the subject in which they appeared fro all 6 students.
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    Most Upvoted Answer
    There are 6 students A, B, C, D, E, F who appeared in 6 different subj...
    Analysis:

    • There are 6 students who appeared in 6 different subjects.

    • Each student got different marks from among 80, 82, 84, 86, 88, 89.

    • The ranks of the students in particular subjects are among 1, 2, 3, 4, 5, 6, such that no two people got the same rank.

    • The numerical sum of the ranks and the marks of C and D are the same.

    • 88 was scored in Biology.

    • 84 was scored in Computer Science and the one who scored it was the topper.

    • The score in English was not 86.

    • 82 was not scored in Maths.

    • B was not second, the person who was second scored 82.

    • Neither A nor E had scored 82, nor were their scores scored in Biology or Physics.

    • C had scored 86, but not in Physics.

    • A did not score 84 or 89.

    • D's score was in Maths.



    Solution:

    • The student who scored 88 is ranked 1 in Biology.

    • The student who scored 84 is ranked 1 in Computer Science.

    • The student who scored 86 is ranked 1 in a subject other than Physics.

    • D's score was in Maths, which means D is ranked 1 in Maths.

    • The person who scored 82 is ranked 2 in a subject other than Maths. So, B cannot be ranked 2.

    • Neither A nor E had scored 82, nor were their scores scored in Biology or Physics. So, the remaining subjects for them are Chemistry, Computer Science, English, and Maths.

    • A did not score 84 or 89. So, A scored either 80, 82 or 86.

    • The score in English was not 86. So, E scored 86 in a subject other than English.

    • The numerical sum of the ranks and the marks of C and D are the same. So, either C scored 84 or D scored 88.

    • Since no two people got the same rank, C cannot be ranked 1 in Physics (as D is ranked 1 in Maths). So, C must be ranked 1 in Chemistry or English.

    • Thus, we can uniquely identify both the marks scored and the subject in which they appeared for all 6 students.



    Hence, the correct answer is '6'.
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    There are 6 students A, B, C, D, E, F who appeared in 6 different subjects, Physics, Chemistry, Maths, Biology, Computer Science and English such that no two students appeared for the same subject. They got different marks from among 80, 82, 84, 86, 88, 89 and their ranks in the particular subjects are among 1, 2, 3, 4, 5, 6, such that no two people got the same rank. Also, the following information is known regarding these 6 students: The numerical sum of the ranks and the marks of C and D are the same. 88 was scored in Biology. 84 was scored in Computer Science and the one who scored it was the topper. The score in English was not 86. 82 was not scored in Maths. B was not second, the person who was second scored 82. Neither A nor E had scored 82, nor were their scores scored in Biology or Physics. C had scored 86, but not in Physics. A did not score 84 or 89. Ds score was in Maths.Based on the information given above, answer the questions that follow.Q. In which subject was 80 scored?

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    Question Description
    There are 6 students A, B, C, D, E, F who appeared in 6 different subjects, Physics, Chemistry, Maths, Biology, Computer Science and English such that no two students appeared for the same subject. They got different marks from among 80, 82, 84, 86, 88, 89 and their ranks in the particular subjects are among 1, 2, 3, 4, 5, 6, such that no two people got the same rank. Also, the following information is known regarding these 6 students: The numerical sum of the ranks and the marks of C and D are the same. 88 was scored in Biology. 84 was scored in Computer Science and the one who scored it was the topper. The score in English was not 86. 82 was not scored in Maths. B was not second, the person who was second scored 82. Neither A nor E had scored 82, nor were their scores scored in Biology or Physics. C had scored 86, but not in Physics. A did not score 84 or 89. Ds score was in Maths.Based on the information given above, answer the questions that follow.Q. For how many people can we uniquely identify both the marks scored and the subject in which they appeared?Correct answer is '6'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about There are 6 students A, B, C, D, E, F who appeared in 6 different subjects, Physics, Chemistry, Maths, Biology, Computer Science and English such that no two students appeared for the same subject. They got different marks from among 80, 82, 84, 86, 88, 89 and their ranks in the particular subjects are among 1, 2, 3, 4, 5, 6, such that no two people got the same rank. Also, the following information is known regarding these 6 students: The numerical sum of the ranks and the marks of C and D are the same. 88 was scored in Biology. 84 was scored in Computer Science and the one who scored it was the topper. The score in English was not 86. 82 was not scored in Maths. B was not second, the person who was second scored 82. Neither A nor E had scored 82, nor were their scores scored in Biology or Physics. C had scored 86, but not in Physics. A did not score 84 or 89. Ds score was in Maths.Based on the information given above, answer the questions that follow.Q. For how many people can we uniquely identify both the marks scored and the subject in which they appeared?Correct answer is '6'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 6 students A, B, C, D, E, F who appeared in 6 different subjects, Physics, Chemistry, Maths, Biology, Computer Science and English such that no two students appeared for the same subject. They got different marks from among 80, 82, 84, 86, 88, 89 and their ranks in the particular subjects are among 1, 2, 3, 4, 5, 6, such that no two people got the same rank. Also, the following information is known regarding these 6 students: The numerical sum of the ranks and the marks of C and D are the same. 88 was scored in Biology. 84 was scored in Computer Science and the one who scored it was the topper. The score in English was not 86. 82 was not scored in Maths. B was not second, the person who was second scored 82. Neither A nor E had scored 82, nor were their scores scored in Biology or Physics. C had scored 86, but not in Physics. A did not score 84 or 89. Ds score was in Maths.Based on the information given above, answer the questions that follow.Q. For how many people can we uniquely identify both the marks scored and the subject in which they appeared?Correct answer is '6'. Can you explain this answer?.
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Also, the following information is known regarding these 6 students: The numerical sum of the ranks and the marks of C and D are the same. 88 was scored in Biology. 84 was scored in Computer Science and the one who scored it was the topper. The score in English was not 86. 82 was not scored in Maths. B was not second, the person who was second scored 82. Neither A nor E had scored 82, nor were their scores scored in Biology or Physics. C had scored 86, but not in Physics. A did not score 84 or 89. Ds score was in Maths.Based on the information given above, answer the questions that follow.Q. For how many people can we uniquely identify both the marks scored and the subject in which they appeared?Correct answer is '6'. Can you explain this answer? has been provided alongside types of There are 6 students A, B, C, D, E, F who appeared in 6 different subjects, Physics, Chemistry, Maths, Biology, Computer Science and English such that no two students appeared for the same subject. They got different marks from among 80, 82, 84, 86, 88, 89 and their ranks in the particular subjects are among 1, 2, 3, 4, 5, 6, such that no two people got the same rank. Also, the following information is known regarding these 6 students: The numerical sum of the ranks and the marks of C and D are the same. 88 was scored in Biology. 84 was scored in Computer Science and the one who scored it was the topper. The score in English was not 86. 82 was not scored in Maths. B was not second, the person who was second scored 82. Neither A nor E had scored 82, nor were their scores scored in Biology or Physics. C had scored 86, but not in Physics. A did not score 84 or 89. Ds score was in Maths.Based on the information given above, answer the questions that follow.Q. For how many people can we uniquely identify both the marks scored and the subject in which they appeared?Correct answer is '6'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice There are 6 students A, B, C, D, E, F who appeared in 6 different subjects, Physics, Chemistry, Maths, Biology, Computer Science and English such that no two students appeared for the same subject. They got different marks from among 80, 82, 84, 86, 88, 89 and their ranks in the particular subjects are among 1, 2, 3, 4, 5, 6, such that no two people got the same rank. Also, the following information is known regarding these 6 students: The numerical sum of the ranks and the marks of C and D are the same. 88 was scored in Biology. 84 was scored in Computer Science and the one who scored it was the topper. The score in English was not 86. 82 was not scored in Maths. B was not second, the person who was second scored 82. Neither A nor E had scored 82, nor were their scores scored in Biology or Physics. C had scored 86, but not in Physics. A did not score 84 or 89. Ds score was in Maths.Based on the information given above, answer the questions that follow.Q. For how many people can we uniquely identify both the marks scored and the subject in which they appeared?Correct answer is '6'. Can you explain this answer? tests, examples and also practice CAT tests.
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