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. Who scored 89?
  • a)
    B
  • b)
    D
  • c)
    E
  • d)
    F
Correct answer is option 'B'. Can you explain this answer?

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Answers

Deepti Jindal
Feb 01, 2022
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.
D scored 89.

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 - PhysicsC - ChemistryM - MathsB - BiologyCS - Computer ScienceE - EnglishWe 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, Ds 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.D scored 89.
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 - PhysicsC - ChemistryM - MathsB - BiologyCS - Computer ScienceE - EnglishWe 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, Ds 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.D scored 89.