CAT 2020 Slot 1 DILR Set 3 Q11–Q16

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2020 Slot 1, with 6 questions (Quant-based Puzzles). Answers are CAT's official key.

The set

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.
English Hindi Mathematics Science Social Science
Alva 80 75 70 75 60
Bithi 90 80 55 85 85
Carl 75 80 90 100 90
Deep 70 90 100 90 80
Esha 80 85 95 60 55
Foni 83 72 78 88 83

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.
Ill. 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 11

Who among the following did not appear for the Mathematics examination?
  1. A
    Carl
  2. B
    Alva
  3. C
    Esha
  4. D
    Foni

Answer: (A) Carl Quant-based Puzzles MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 12

Which students did not appear for the English examination?
  1. A
    Cannot be determined
  2. B
    Alva and Bithi
  3. C
    Carl and Deep
  4. D
    Esha and Foni

Answer: (D) Esha and Foni Quant-based Puzzles MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 13

What BEST can be concluded about the students who did not appear for the Hindi examination?
  1. A
    Two among Alva, Deep and Esha
  2. B
    Alva and Esha
  3. C
    Alva and Deep
  4. D
    Deep and Esha

Answer: (C) Alva and Deep Quant-based Puzzles MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 14

What BEST can be concluded about the students who missed the Science examination?
  1. A
    Deep and Bithi
  2. B
    Alva and Bithi
  3. C
    Alva and Deep
  4. D
    Bithi and one out of Alva and Deep

Answer: (D) Bithi and one out of Alva and Deep Quant-based Puzzles MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 15

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

TITA: type in the answer. There are no options and no negative marking.

Answer: 3 Quant-based Puzzles TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 16

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

TITA: type in the answer. There are no options and no negative marking.

Answer: 4 Quant-based Puzzles TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

More Quant-based Puzzles questions from CAT

All 127 Quant-based Puzzles questions asked since 2017.