Shyam prepares and sells piping hot puri and sabji (gravy) from 7:00 am to 9:00 am (both inclusive) through a stall at XLRI campus. Presently, he has just a single oven, which can do only one job at a time. It takes 30 minutes to cook one handi (a large bowl) of sabji, su cient for 12 customers. It takes him 10 minutes to prepare 2 plates of puri at a time. While the cost of a plate of puri-sabji is ₹ 10, the price is ₹ 25. Puri stays hot for only 5 minutes after preparation, while sabji stays hot for 30 minutes only. It takes 10 minutes to reheat the sabji which stays hot for another 30 minutes. If he brings a handi of hot sabji from home, the transport would cost him ₹ 50. It can also stay hot for 30 minutes excluding the transportation time. Currently, every 20 minutes ve plates are ordered. All unsold quantities are distributed at cost after 9:30 am.
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
Mrs Biswas was to retire in one year after serving in the construction department of the Gujarat government for more than thirty years. After retirement, she wanted to spend her retired life along with Mr Biswas, a retired schoolteacher in a small town in Kerala. They had two children, both studying in Bengaluru. The Biswas’ wished to construct a house in Kerala with their life savings.
The couple gathered information about owning a house in Kerala. They had four options:
1.Buy a fully furnished house from a big developer.
2.Buy a semi-furnished house from big developer and furnish it.
3.Get a local unregistered contractor to construct a house and furnish it.
4.Mr Biswas with inputs from the family could supervise the construction of a house back in Kerala by employing the best material, engineers, masons and labourers
Mrs Biswas was to retire in one year after serving in the construction department of the Gujarat government for more than thirty years. After retirement, she wanted to spend her retired life along with Mr Biswas, a retired school teacher in a small town in Kerala. They had two children, both studying in Bengaluru. The Biswas’ wished to construct a house in Kerala with their life savings.
The couple gathered information about owning a house in Kerala. They had four options:
1.Buy a fully furnished house from a big developer.
2.Buy a semi-furnished house from big developer and furnish it.
3.Get a local unregistered contractor to construct a house and furnish it.
4.Mr Biswas with inputs from the family could supervise the construction of a house back in Kerala by employing the best material, engineers, masons and labourers
Match the following renowned Indian personalities with their respective awards.
Names | Award |
---|---|
1. Shri Ratan Naval Tata | A. Dadasaheb Phalke Award |
2. Manmohan Singh | B. Grammy Awards |
3. Zakir Hussain | C. Carnegie Medal of Philanthropy |
4. Shyam Benegal | D. World Statesman Award |
Match the following authors with their respective works.
Authors | Books |
---|---|
1. Andy Weir | A. Dune |
2. Cixin Liu | B. The Time Machine |
3. Stephen Hawking | C. The Brief History of Time |
4. HG Wells | D. The Martian |
5. Frank Herbert | E. The Three Body Problem |
Match the following airlines with the countries where they are headquartered.
Airlines | Countries |
---|---|
1. AirAsia | A. Singapore |
2. AZAL | B. South Korea |
3. Jeju Air | C. Azerbaijan |
4. Indigo | D. India |
5. Tigerair | E. Malaysia |
The diagram below represents a road network connecting five towns, namely Meeren, Lannisport, Winterfell, Oldtown, and Gulltown. The maximum speed limits along any stretch of road are as shown in the diagram. The straight road that connects Meeren to Gulltown passes through Oldtown. Another straight road, running west to east, connecting Meeren to Winterfell, passes through Lannisport. Further, two straight roads, one from Lannisport to Oldtown and another from Winterfell to Gulltown, are perpendicular to the road joining Meeren to Winterfell, and run from south to north.
Consider a car always travelling at the maximum permissible speed, and always taking the shortest route. It takes 1 hour to reach Oldtown from Meeren, 2 hours to reach Gulltown from Oldtown, and 45 minutes to reach Winterfell from Gulltown. (For this problem, always consider the shortest route in terms of distance.)
The plots below depict and compare the average monthly incomes (in Rs. ’000) of males and females in ten cities of India in the years 2005 and 2015. The ten cities, marked A-J in the records, are of different population sizes. For a fair comparison, to adjust for inflation, incomes for both the periods are scaled to 2025 prices. Each red dot represents the average monthly income of females in a particular city in a particular year, while each blue dot represents the average monthly income of males in a particular city in a particular year. The gender gap for a city, for a particular year, is defined as the absolute value of the average monthly income of males, minus the average monthly income of females, in that year.