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

Step 1: Work out the possible group sizes.
Seven film buffs are split across three films, and exactly twice as many watch the Satyajit Ray (SR) film as watch the Guru Dutt (GD) film. If g people watch GD, then 2g watch SR, and the rest watch Ritwik Ghatak (RG). Since \(g + 2g + r = 7\), the only whole-number splits that work are \((GD, SR, RG) = (1, 2, 4)\) or \((2, 4, 1)\).
This means the number of people who do NOT see the SR film is either \(7 - 2 = 5\) or \(7 - 4 = 3\). Any answer choice with only two names can never be a complete list, since the non-SR group is always 3 or 5 people.

Step 2: Place Gangadhar using the given restriction.
Gangadhar sees either the Guru Dutt film or the Ritwik Ghatak film, so he never sees the SR film. Gangadhar always belongs to the "does not see SR" group, whichever split is in play.

Step 3: Place Vyomkesha and Yogi as a pair.
Vyomkesha and Yogi always watch the same film as each other, so they move as a block of two. Lalatakshaya is already fixed to the SR film. In the smaller split (SR = 2), Lalatakshaya already fills one of only two SR seats, leaving no clean room for the Vyomkesha-Yogi pair alongside all the other restrictions. The split that lets everything settle consistently is the one with SR = 4, where Vyomkesha and Yogi sit together with Gangadhar outside the SR screening, making the non-SR group exactly three people.

Step 4: Identify the complete list.
With the non-SR group fixed at three people, and Gangadhar, Vyomkesha and Yogi being the three who consistently fall outside the Satyajit Ray screening, this trio forms the complete and accurate list of buffs who do not see the SR film.

Final Answer:
The complete list is Gangadhar, Vyomkesha and Yogi. \[ \boxed{\text{Gangadhar, Vyomkesha, Yogi}} \]