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.

92. Each of the following must be false EXCEPT:

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Check the group-size limits (Guru Dutt is 1 or 2, Satyajit Ray is 2 or 4, Ritwik Ghatak is 4 or 1) before testing the individual claims; most of these options fail on size alone.
Updated On: Jul 13, 2026
  • Rudra is the only film buff to see the Guru Dutt film.
  • Rudra is the only film buff to see the Satyajit Ray film.
  • Yogi is the only film buff to see the Ritwik Ghatak film.
  • Exactly two film buffs see the Ritwik Ghatak film.
Show Solution

The Correct Option is A

Solution and Explanation

This question flips the usual pattern: most of the listed statements are always false, and we need the one that CAN be true. The fastest route is to check what the group sizes are allowed to be, since several of the losing options are really just disguised claims about group size.

  1. Option 1 (Rudra alone in Guru Dutt): Guru Dutt can legally have exactly 1 person (the split Guru Dutt 1, Satyajit Ray 2, Ritwik Ghatak 4 is valid). Building out that split with Rudra as the sole Guru Dutt viewer, Gangadhar and the Vyomkesha-Yogi pair in Ritwik Ghatak, and Indra joining Lalatakshaya in Satyajit Ray, satisfies every listed condition. So this can be true.
  2. Option 2 (Rudra alone in Satyajit Ray): Satyajit Ray always contains Lalatakshaya, so Rudra could never be the ONLY person there. It is always false.
  3. Option 3 (Yogi alone in Ritwik Ghatak): Vyomkesha and Yogi are locked together in the same film by the rules, so Yogi can never be alone anywhere. Always false.
  4. Option 4 (exactly two see Ritwik Ghatak): Ritwik Ghatak's size is fixed by the same 2-to-1 relationship that fixes Guru Dutt and Satyajit Ray; it can only be 4 (when Guru Dutt is 1) or 1 (when Guru Dutt is 2). It can never be exactly 2. Always false.

A fifth original claim, that exactly three see Satyajit Ray, is also always false, since Satyajit Ray must equal twice the Guru Dutt count and can only be 2 or 4, never an odd number like 3; this claim was dropped when the five choices were folded to four.

Four of the five original options are ruled out by the arithmetic of the group sizes alone, before even worrying about the individual restrictions. Only option 1 survives, and a full seating (Rudra in Guru Dutt; Lalatakshaya and Indra in Satyajit Ray; Gangadhar, Maheshwar, Vyomkesha, Yogi in Ritwik Ghatak) shows it is genuinely achievable.

Let's summarize:

  • Satyajit Ray can only be size 2 or 4; Ritwik Ghatak can only be size 4 or 1; Guru Dutt can only be size 1 or 2.
  • Vyomkesha and Yogi are always together, so neither can ever be the "only" viewer of a film.

The one statement that is not automatically false is option 1, so that is the answer.

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