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CAT 2006 — DILR Question 5

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Passage / Data

Answer the following question based on the information given below.

In a Class X Board examination, ten papers are distributed over five Groups – PCB, Mathematics, Social Science, Vernacular and English. Each of the ten papers is evaluated out of 100. The final score of a student is calculated in the following manner. First, the Group Scores are obtained by averaging marks in the papers within the Group. The final score is the simple average of the Group Scores. The data for the top ten students are presented below. (Dipan’s score in English Paper II has been intentionally removed in the table).

Note: B or G against the name of a student respectively indicates whether the student is a boy or a girl.

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Had Joseph, Agni, Pritam and Tirna each obtained Group Score of 100 in the Social Science Group, then their standing in decreasing order of final score would be:

Answer & solution

Correct answer: Pritam, Joseph, Tirna, Agni

  • Pritam, Joseph, Tirna, Agni 

  • B

    Joseph, Tirna, Agni, Pritam

  • C

    Pritam, Agni, Tirna, Joseph

  • D

    Joseph, Tirna, Pritam, Agni

  • E

    Pritam, Tirna, Agni, Joseph

Solution

Group scores of Joseph, Agni, Pritam and Tirna in Social Science Group are 95.5, 95.5, 89 and 89.5 respectively.

Their final scores are 95, 94.3, 93.9, 93.7 respectively.

If their group scores in social science change to hundred their final scores will be affected by 4.5/5, 4.5/5, 11/5 and 10.5/5 respectively.

Their new final scores would be 95.9, 95.2, 96.1 and 95.8 respectively.

Their standing in decreasing order of final score would be Pritam, Joseph, Tirna, Agni.

Hence, option (a).

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CAT 2006 DILR Q5: Had Joseph, Agni, Pritam and Tirna each obtained Group Score of 100 in the Social Science Group, then their st — Solution | TheCATExam