Question:hard

Directions: Each group of questions in this section is based on a set of conditions. In answering some of the questions, it may help to draw a rough diagram. Choose the response that most accurately and completely answers each question.

Questions 91 to 96: Seven film buffs, Gangadhar, Indra, Lalatakshaya, Maheshwar, Rudra, Vyomkesha, and Yogi, attend a showing of classic films. Three films are shown, one each directed by Guru Dutt, Satyajit Ray, and Ritwik Ghatak. Each film buff sees exactly one of the three films. The films are shown only once, one film at a time. The following restrictions apply:

  • Exactly twice as many of the film buffs see the Satyajit Ray film as see the Guru Dutt film.
  • Gangadhar and Rudra do not see the same film as each other.
  • Indra and Maheshwar do not see the same film as each other.
  • Vyomkesha and Yogi see the same film as each other.
  • Lalatakshaya sees the Satyajit Ray film.
  • Gangadhar sees either the Guru Dutt film or the Ritwik Ghatak film.

96. Each of the following could be a complete and accurate list of the film buffs who see the Guru Dutt film EXCEPT:

Show Hint

Ask which two people can never sit in the small Guru Dutt group; the Vyomkesha-Yogi pair fails that test in every valid seating.
Updated On: Jul 13, 2026
  • Gangadhar, Indra
  • Gangadhar, Maheshwar
  • Indra, Rudra
  • Vyomkesha, Yogi
Show Solution

The Correct Option is D

Solution and Explanation

This question wants the one list of Guru Dutt viewers that CANNOT happen. The fastest check is to ask who is permanently barred from the Guru Dutt group. Working through both valid group-size splits shows Vyomkesha and Yogi never fit there. In the split where Guru Dutt has only 1 seat, two people obviously cannot both sit in it. In the split where Guru Dutt has 2 seats, seating Vyomkesha and Yogi there pushes Gangadhar into the single Ritwik Ghatak seat, which then forces Indra, Maheshwar, and Rudra to crowd into the remaining Satyajit Ray seats together, putting Indra and Maheshwar in the same film. That breaks their rule, so this path is dead too. Vyomkesha and Yogi are locked out of Guru Dutt in every case.

  1. Option 1 (Gangadhar, Indra): achievable, for example with Maheshwar in Ritwik Ghatak and Rudra in Satyajit Ray alongside Lalatakshaya, Vyomkesha, Yogi.
  2. Option 2 (Gangadhar, Maheshwar): achievable, swapping Indra into Ritwik Ghatak and keeping Rudra in Satyajit Ray with Lalatakshaya, Vyomkesha, Yogi.
  3. Option 3 (Indra, Rudra): achievable, with Gangadhar moved to Ritwik Ghatak instead, since he is not in this Guru Dutt list, and Maheshwar in Satyajit Ray with Lalatakshaya, Vyomkesha, Yogi.
  4. Option 4 (Vyomkesha, Yogi): impossible, since these two can never occupy the Guru Dutt group in any valid seating, as shown above.

Three of the four lists can be built into full, rule-following seatings. Only the Vyomkesha-Yogi list cannot.

Let's summarize:

  • Vyomkesha and Yogi are permanently excluded from the Guru Dutt group under every valid seating.
  • The other three lists each correspond to at least one working seating of all seven film buffs.

So option 4, Vyomkesha and Yogi as the complete Guru Dutt list, is the one that could NOT happen, making it the answer to this EXCEPT question.

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