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.

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

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

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.

Answer 1

The Correct Option is D

Step 1: Recall which two people can never be in the Guru Dutt group.
Vyomkesha and Yogi always sit together, and the Guru Dutt group is always too small (1 seat in one split, 2 seats in the other) to hold them without breaking another rule. If Vyomkesha and Yogi took the 2 Guru Dutt seats in the split where Guru Dutt = 2, Gangadhar would be forced into the single Ritwik Ghatak seat, and Indra, Maheshwar, Rudra would all have to share the remaining Satyajit Ray seats, putting Indra and Maheshwar in the same film, which is not allowed. So Vyomkesha and Yogi can never be Guru Dutt viewers, in any valid seating.

Step 2: Check option 4 against this.
Option 4 claims the complete Guru Dutt list is just Vyomkesha and Yogi. Since neither of them can ever be a Guru Dutt viewer, this list can never occur, not even partially. This is the impossible one.

Step 3: Confirm the other three lists are each achievable.
Option 1 (Gangadhar, Indra): take the split Guru Dutt 2, Satyajit Ray 4, Ritwik Ghatak 1, with Gangadhar and Indra in Guru Dutt, Maheshwar in Ritwik Ghatak, Rudra in Satyajit Ray along with Lalatakshaya, Vyomkesha, Yogi. All rules hold, and Guru Dutt is exactly Gangadhar and Indra.
Option 2 (Gangadhar, Maheshwar): same split, Gangadhar and Maheshwar in Guru Dutt, Indra in Ritwik Ghatak, Rudra in Satyajit Ray with Lalatakshaya, Vyomkesha, Yogi. Indra and Maheshwar differ (Ritwik Ghatak vs Guru Dutt), Gangadhar and Rudra differ (Guru Dutt vs Satyajit Ray). This works too.
Option 3 (Indra, Rudra): here Gangadhar is not in Guru Dutt, so he must be in Ritwik Ghatak. Take Indra and Rudra in Guru Dutt, Gangadhar in Ritwik Ghatak, Maheshwar in Satyajit Ray with Lalatakshaya, Vyomkesha, Yogi. Gangadhar and Rudra differ (Ritwik Ghatak vs Guru Dutt), Indra and Maheshwar differ (Guru Dutt vs Satyajit Ray). This also works.

Final Answer:
Options 1, 2, and 3 can each be built into a valid seating, but option 4 (Vyomkesha, Yogi) can never happen, since that pair is never allowed in the Guru Dutt group. Option 4 is the exception.