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Year

CAT 2020

Section

Data

Topic

DI Tables

Difficulty

Hard

Question

Slot-1

Read the passage and answer the questions below.

Passage:

In a certain board examination, students were to appear for examination in five subjects: English, Hindi, Mathematics, Science and Social Science. Due to a certain emergency situation, a few of the examinations could not be conducted for some students. Hence, some students missed one examination and some others missed two examinations. Nobody missed more than two examinations.

The board adopted the following policy for awarding marks to students. If a student appeared in all five examinations, then the marks awarded in each of the examinations were on the basis of the scores obtained by them in those examinations.

If a student missed only one examination, then the marks awarded in that examination was the average of the best three among the four scores in the examinations they appeared for.

If a student missed two examinations, then the marks awarded in each of these examinations was the average of the best two among the three scores in the examinations they appeared for.

The marks obtained by six students in the examination are given in the table below. Each of them missed either one or two examinations.

EnglishHindiMathematicsScienceSocial Science
Alva8075707560
Bithi9080558585
Carl75809010090
Deep70901009080
Esha8085956055
Foni8372788883

The following facts are also known.

I. Four of these students appeared in each of the English, Hindi, Science, and Social Science examinations.

II. The student who missed the Mathematics examination did not miss any other examination.

III. One of the students who missed the Hindi examination did not miss any other examination. The other student who missed the Hindi examination also missed the Science examination.

Question 1

Who among the following did not appear for the Mathematics examination?

Alva

Carl

Foni

Esha

Question 2

Which students did not appear for the English examination?

Carl and Deep

Cannot be determined

Alva and Bithi

Esha and Foni

Question 3

What BEST can be concluded about the students who did not appear for the Hindi examination?

Deep and Esha

Alva and Deep

Alva and Esha

Two among Alva, Deep and Esha

Question 4

What BEST can be concluded about the students who missed the Science examination?

Bithi and one out of Alva and Deep

Alva and Bithi

Deep and Bithi

Alva and Deep

Question 5

How many out of these six students missed exactly one examination?

Question 6

For how many students can we be definite about which examinations they missed?

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