Question:medium

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.
For how many students can we be definite about which examinations they missed? [This Question was asked as TITA]

Updated On: Jan 15, 2026
  • 4
  • 5
  • 3
  • 2
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The Correct Option is A

Solution and Explanation

  1. Four students sat for examinations in English, Hindi, Science, and Social Science.
  2. The student who did not take the Mathematics exam did not miss any other subject exams.
  3. One student who did not take the Hindi exam did not miss any other subject exams. Another student who did not take the Hindi exam also did not take the Science exam.

From these statements, the following can be concluded:

  • Four students (Alva, Bithi, Carl, and Foni) took all exams except Mathematics.
  • One student (Esha) missed only the Hindi examination.
  • One student (Deep) missed both the Hindi and Science examinations.

Consequently, the missed examinations for each student are definitively known:

  • Alva, Bithi, Carl, and Foni missed only the Mathematics examination.
  • Esha missed exclusively the Hindi examination.
  • Deep missed both the Hindi and Science examinations.

Four students missed examinations: Alva, Bithi, Carl, and Foni.
The correct answer is option 1, 4 students

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