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.

91. Which one of the following could be an accurate matching of film buffs to films?

Question

KindCare hospital, located in the small industrial town of Chinar, is one of the largest hospitals within 50 kilometers radius. It is well-regarded among the locals for emergency services.
However, for critical surgeries, they prefer to travel to the nearest city Shamili, which is 100 kilometers away. When KindCare was established 50 years ago, the town was still in its early stages of development.
Consequently, the hospital needed to incorporate several facilities within its premises, including a 24-hour cafeteria, to accommodate needs of the patients and their relatives who would come from nearby places. Another facility that KindCare built and takes pride in is its state-of-the-art testing lab. It is the most sought after testing lab in Chinar even today when many independent labs have come up around KindCare. Moreover, many other facilities have also come up in the surrounding area of the hospital such as pharmacies, food joints, hotels etc. Further, a standalone pharmacy chain has gained a strong foothold in Chinar as they expand their reach into Tier-3 cities.
When it comes to KindCare, a signi cant proportion of its patients are outpatients with a substantial number seeking emergency services. As the sole 600-bed hospital in the region, KindCare plays a crucial role in medical services, and receives generous funding from two major corporations operating locally, further enabling KindCare to cater to the growing medical needs of the community.
During the COVID-19 pandemic, KindCare made signi cant investment in enhancing internet connectivity, enabling many doctors, and the majority of administrative staff, to seamlessly work remotely. This investment also allowed KindCare to bring in doctors from other cities through remote care.
Further, COVID-19 was a wakeup call for KindCare to enhance their infrastructure. Though KindCare made signi cant improvements, they kept the major renovations on hold due to the constant ow of patients. KindCare believes that if the held renovations are not taken up on an urgent basis now, the operations at the hospital will get obstructed

Answer 1

This is a grouping puzzle. Seven people are split into three film groups, and the count rule (Satyajit Ray group is exactly twice the Guru Dutt group) only allows two possible group sizes: (Guru Dutt 1, Satyajit Ray 2, Ritwik Ghatak 4) or (Guru Dutt 2, Satyajit Ray 4, Ritwik Ghatak 1). Since Vyomkesha and Yogi always sit together, and neither Guru Dutt (size 1) nor Ritwik Ghatak (size 1, in the second family) can hold two people, working through both families shows Vyomkesha and Yogi always end up in Ritwik Ghatak (family one) or Satyajit Ray (family two, where putting them in Guru Dutt forces Indra and Maheshwar into the same film, which is not allowed). Let's check each answer choice against these two families.

Option 1 (Gangadhar in Satyajit Ray, Indra in Ritwik Ghatak, Maheshwar in Satyajit Ray): Gangadhar is only ever allowed in Guru Dutt or Ritwik Ghatak, never Satyajit Ray. This choice breaks that rule immediately, so it is out.
Option 2 (Gangadhar in Ritwik Ghatak, Indra in Guru Dutt, Vyomkesha in Guru Dutt): Vyomkesha can never be in the Guru Dutt group, since that group is too small (1 seat) to hold both Vyomkesha and Yogi. Out.
Option 3 (Indra in Satyajit Ray, Rudra in Ritwik Ghatak, Vyomkesha in Guru Dutt): same problem as option 2, Vyomkesha cannot be in Guru Dutt. Out.
Option 4 (Maheshwar, Rudra, and Vyomkesha all in Ritwik Ghatak): since Vyomkesha is here, Yogi joins too, giving Ritwik Ghatak 4 people (Maheshwar, Rudra, Vyomkesha, Yogi), matching the size-4 Ritwik Ghatak family exactly. The other 3 people, Gangadhar, Indra, Lalatakshaya, fill Guru Dutt (1) and Satyajit Ray (2). Put Gangadhar in Guru Dutt and Indra with Lalatakshaya in Satyajit Ray. Every rule checks out: the 2-to-1 count, Gangadhar different from Rudra, Indra different from Maheshwar, Vyomkesha same as Yogi, Lalatakshaya in Satyajit Ray, and Gangadhar not in Satyajit Ray. This works.

Option 4 survives every check, so it is the matching that could actually happen.

Let's summarize:

Only two group-size splits satisfy the "twice as many" rule: (1, 2, 4) or (2, 4, 1) for Guru Dutt, Satyajit Ray, Ritwik Ghatak.
Vyomkesha and Yogi need a group of size 2 or more, which rules out Guru Dutt in the first split and both Guru Dutt and Ritwik Ghatak in the second.

So the correct choice is option 4, Maheshwar, Rudra, and Vyomkesha (with Yogi) all seeing the Ritwik Ghatak film.

Answer 2

This is a grouping puzzle. Seven people are split into three film groups, and the count rule (Satyajit Ray group is exactly twice the Guru Dutt group) only allows two possible group sizes: (Guru Dutt 1, Satyajit Ray 2, Ritwik Ghatak 4) or (Guru Dutt 2, Satyajit Ray 4, Ritwik Ghatak 1). Since Vyomkesha and Yogi always sit together, and neither Guru Dutt (size 1) nor Ritwik Ghatak (size 1, in the second family) can hold two people, working through both families shows Vyomkesha and Yogi always end up in Ritwik Ghatak (family one) or Satyajit Ray (family two, where putting them in Guru Dutt forces Indra and Maheshwar into the same film, which is not allowed). Let's check each answer choice against these two families.

Option 1 (Gangadhar in Satyajit Ray, Indra in Ritwik Ghatak, Maheshwar in Satyajit Ray): Gangadhar is only ever allowed in Guru Dutt or Ritwik Ghatak, never Satyajit Ray. This choice breaks that rule immediately, so it is out.
Option 2 (Gangadhar in Ritwik Ghatak, Indra in Guru Dutt, Vyomkesha in Guru Dutt): Vyomkesha can never be in the Guru Dutt group, since that group is too small (1 seat) to hold both Vyomkesha and Yogi. Out.
Option 3 (Indra in Satyajit Ray, Rudra in Ritwik Ghatak, Vyomkesha in Guru Dutt): same problem as option 2, Vyomkesha cannot be in Guru Dutt. Out.
Option 4 (Maheshwar, Rudra, and Vyomkesha all in Ritwik Ghatak): since Vyomkesha is here, Yogi joins too, giving Ritwik Ghatak 4 people (Maheshwar, Rudra, Vyomkesha, Yogi), matching the size-4 Ritwik Ghatak family exactly. The other 3 people, Gangadhar, Indra, Lalatakshaya, fill Guru Dutt (1) and Satyajit Ray (2). Put Gangadhar in Guru Dutt and Indra with Lalatakshaya in Satyajit Ray. Every rule checks out: the 2-to-1 count, Gangadhar different from Rudra, Indra different from Maheshwar, Vyomkesha same as Yogi, Lalatakshaya in Satyajit Ray, and Gangadhar not in Satyajit Ray. This works.

Option 4 survives every check, so it is the matching that could actually happen.

Let's summarize:

Only two group-size splits satisfy the "twice as many" rule: (1, 2, 4) or (2, 4, 1) for Guru Dutt, Satyajit Ray, Ritwik Ghatak.
Vyomkesha and Yogi need a group of size 2 or more, which rules out Guru Dutt in the first split and both Guru Dutt and Ritwik Ghatak in the second.

So the correct choice is option 4, Maheshwar, Rudra, and Vyomkesha (with Yogi) all seeing the Ritwik Ghatak film.

Over Number	Run Rate
N-2	8.00
N	7.43
N+2	8.11
N+4	8.45
N+6	8.08

Show Hint

The Correct Option is D

Solution and Explanation

Top Questions on Grouping and Selections

Questions Asked in XAT exam