CAT 2025 Lesson : Interpretative Tables - Case 2

Directions for questions 5 to 9: Answer questions on the basis of 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.
[CAT 2006]

5) How much did Dipan get in English Paper II?

(1) 94
(2) 96.5
(3) 97
(4) 98
(5) 99

6) Among the top ten students, how many boys scored at least 95 in at least one paper from each of the groups?

(1) 1
(2) 2
(3) 3
(4) 4
(5) 5

7) 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:

(1) Pritam, Joseph, Tirna, Agni
(2) Joseph, Tirna, Agni, Pritam
(3) Pritam, Agni, Tirna, Joseph
(4) Joseph, Tirna, Pritam, Agni
(5) Pritam, Tirna, Agni, Joseph

8) Students who obtained Group Scores of at least 95 in every group are eligible to apply for a prize. Among those who are eligible, the student obtaining the highest Group Score in Social Science Group is awarded this prize. The prize was awarded to:

(1) Shreya
(2) Ram
(3) Ayesha
(4) Dipan
(5) No one from the top ten

9) Each of the ten students was allowed to improve his/her score in exactly one paper of choice with the objective of maximizing his/her final score. Everyone scored 100 in the paper in which he or she chose to improve. After that, the topper among the ten students was:

(1) Ram
(2) Agni
(3) Pritam
(4) Ayesha
(5) Dipan

Solution

5)
Dipan's scores

So, the correct choice is option (3).

Answer: (3) 97

6)
By observation, most of the scores in Vernacular group are less than 95. Dipan and Sagnik are the only boys whose scores are at least 95 in at least one of the subjects in Vernacular group.

Sagnik's scores in both the subjects in English group is less than 95. Dipan's score is at least 95 in at least one subject in each group. So Dipan is the only boy who scored at least 95 in at least one paper from each of the group.

Answer: (1) 1

7)


⇒ So Pritam > Joseph > Tirna > Agni based on the table

⇒ Hence, option (1) is the correct choice.

Answer: (1) Pritam, Joseph, Tirna, Agni

8)
Group Scores are obtained by averaging the marks in the papers within the Group.

By observation, most of the scores in Vernacular group are less than 95. Only Ayesha, Dipan and Sagnik have an average of at least 95 in Vernacular group.

Average score of Ayesha in Social Science group and average score of Sagnik in English group is less than 95.

Dipan’s average in all the groups is at least 95. Therefore, Dipan is awarded the prize.

Answer: (4) Dipan

9)
⇒ To maximise the final score, the students will try to maximise their marks in the paper which they scored low so that their final score will have greater impact.

Let us consider the final scores



Therefore the topper is Dipan.

Answer: (5) Dipan

Answer:
5) (3) 97
6) (1) 1
7) (1) Pritam, Joseph, Tirna, Agni
8) (4) Dipan
9) (5) Dipan