Question

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.

93. Which one of the following could be a complete and accurate list of the film buffs who DO NOT see the Satyajit Ray film?

• A. Gangadhar, Maheshwar
• B. Gangadhar, Rudra
• C. Gangadhar, Indra, Rudra
• D. Gangadhar, Vyomkesha, Yogi

Hint:

Gangadhar never watches the Satyajit Ray film, and Vyomkesha and Yogi always watch the same film as each other. Since the Satyajit Ray audience must be exactly twice the Guru Dutt audience out of 7 people, work out the only group sizes that fit, then see which trio consistently stays out of the Satyajit Ray screening.

Answer 1

The Correct Option is D

This question is a grouping puzzle: seven film buffs split across three films (Guru Dutt, Satyajit Ray, Ritwik Ghatak), with the Satyajit Ray audience always exactly twice the size of the Guru Dutt audience. We need the one answer choice that could be the full and exact list of buffs who skip the Satyajit Ray film.

Since the Satyajit Ray audience is twice the Guru Dutt audience, and all seven buffs are split across the three films, the only whole-number splits are (Guru Dutt, Satyajit Ray, Ritwik Ghatak) = (1, 2, 4) or (2, 4, 1). So the group that skips the Satyajit Ray film is always sized 3 or 5, never 2.

1. Gangadhar, Maheshwar: only two names. Since the non-Satyajit Ray group must have 3 or 5 members, a two-person list can never be complete.
2. Gangadhar, Rudra: also only two names, ruled out for the same reason.
3. Gangadhar, Indra, Rudra: three names, so the size fits the smaller split. But Vyomkesha and Yogi always watch the same film as each other, and once Lalatakshaya's fixed Satyajit Ray seat is accounted for, this pair settles most consistently outside the Satyajit Ray screening alongside Gangadhar, not inside it. Leaving Vyomkesha and Yogi out of the "does not see SR" list here does not hold up as the guaranteed complete set.
4. Gangadhar, Vyomkesha, Yogi: three names, matching the smaller non-Satyajit Ray group. Gangadhar never watches the Satyajit Ray film by the given restriction, and Vyomkesha and Yogi, moving together as a pair, settle outside the Satyajit Ray screening together with him. This gives a complete, self-consistent group of exactly three.

The list that holds up as complete and accurate is Gangadhar, Vyomkesha and Yogi.

Let's summarize:

• The Satyajit Ray audience is always exactly twice the Guru Dutt audience, so the non-Satyajit Ray group is always sized 3 or 5, never 2.
• Gangadhar is fixed outside the Satyajit Ray screening by the given restriction.
• Vyomkesha and Yogi move together and settle alongside Gangadhar outside that screening.

So the correct and complete list of buffs who do not see the Satyajit Ray film is Gangadhar, Vyomkesha and Yogi.