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.

94. If exactly one film buff sees the Ritwik Ghatak film, then which one of the following must be true?

Show Hint

An Ritwik Ghatak count of exactly 1 only fits one group-size split; work out where Vyomkesha and Yogi end up in that split.
Updated On: Jul 13, 2026
  • Vyomkesha sees the Satyajit Ray film.
  • Gangadhar sees the Guru Dutt film.
  • Maheshwar sees the Guru Dutt film.
  • Indra sees the Guru Dutt film.
Show Solution

The Correct Option is A

Solution and Explanation

We are told exactly one film buff sees the Ritwik Ghatak film, and need to find what must always be true. A count of 1 for Ritwik Ghatak only fits the split Guru Dutt 2, Satyajit Ray 4, Ritwik Ghatak 1, since the other valid split gives Ritwik Ghatak 4 people.

  1. Option 1 (Vyomkesha sees Satyajit Ray): with only 1 Ritwik Ghatak seat, Vyomkesha and Yogi (always together) cannot sit there. Putting them in the 2 Guru Dutt seats forces Gangadhar into the single Ritwik Ghatak seat, which then forces Indra, Maheshwar, and Rudra to all share the 3 leftover Satyajit Ray seats, putting Indra and Maheshwar in the same film, which the rules forbid. So Vyomkesha and Yogi have nowhere to go except Satyajit Ray. This must be true.
  2. Option 2 (Gangadhar sees Guru Dutt): a valid seating exists with Gangadhar in Ritwik Ghatak instead (Gangadhar = Ritwik Ghatak, Indra and Rudra = Guru Dutt, Maheshwar joins Lalatakshaya, Vyomkesha, Yogi in Satyajit Ray). So Gangadhar does not always sit in Guru Dutt.
  3. Option 3 (Maheshwar sees Guru Dutt): a valid seating has Maheshwar in Satyajit Ray instead (Gangadhar and Indra = Guru Dutt, Rudra = Ritwik Ghatak, Maheshwar joins Lalatakshaya, Vyomkesha, Yogi in Satyajit Ray). So this is not forced.
  4. Option 4 (Indra sees Guru Dutt): a valid seating has Indra in Ritwik Ghatak instead (Gangadhar and Maheshwar = Guru Dutt, Indra = Ritwik Ghatak, Rudra joins Lalatakshaya, Vyomkesha, Yogi in Satyajit Ray). So this is not forced either.

Only option 1 holds in every seating that has exactly one Ritwik Ghatak viewer.

Let's summarize:

  • Exactly one Ritwik Ghatak viewer only happens in the Guru Dutt 2 / Satyajit Ray 4 / Ritwik Ghatak 1 split.
  • In that split, Vyomkesha and Yogi are squeezed out of both Guru Dutt and Ritwik Ghatak, leaving Satyajit Ray as their only option.

So Vyomkesha seeing the Satyajit Ray film is the statement that must be true, matching option 1.

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