Operations, Social Initiatives and Process Optimization Previous Year Questions (PYQs) for XAT: 6+ Solved Questions with Step-by-Step Solutions

Solve 6+ Operations, Social Initiatives and Process Optimization previous year questions for XAT with answers and detailed solutions. Free sample questions below.

Chapter Roadmap: Operations and Social Initiatives

Chapter Roadmap

1. NGO Operations and Community Kitchens

Macro-level setup, resource allocation, supply chain, and managing social constraints.

2. Kitchen Process Optimization and Scheduling

Micro-level task sequencing, simultaneous activities, bottleneck identification, and time management.

The Core Intuition: Operations for Social Impact

The Core Intuition

A community kitchen is an operations system where the objective function shifts from profit to social impact.

Input

Raw ingredients, volunteer labor, donated funds, kitchen space.

Process

Procurement, storage, preparation, cooking, packaging, distribution.

Output

Meals served, nutritional value delivered, hunger alleviated.

The Fundamental Challenge

Apply rigorous operational logic (capacity, bottlenecks) to a scenario where constraints are social, unpredictable, or reliant on human goodwill.

Operations, Social Initiatives and Process Optimization: Solved Questions with Step-by-Step Explanations (5 Problems)

Question 1 · Decision Making (DM) MCQ

Common Description: To prepare a dish(e.g., Dosa- Sambhar, Idli-chutney, Rajma-Chawal, Mawa-Bati), the chef has to nish nine activities, some of which could be done simultaneously, while others could not be done simultaneously(see diagram). One of the challenges faced by the chef was to precisely calculate the preparation time of a dish and communicate the waiting time to the customers.
However, based on the past data, the chef had an idea about approximate time taken to complete each activity.
He had noted down the best(optimistic), worst(pessimistic) and most likely(most commonly observed) time to nish each of the nine activities. Further, the chef realised that frequency of occurrence of most likely time was 66.666%, and the frequency of occurrence of pessimistic and optimistic times were 16.666% each. The diagram below shows the activities involved and the table shows the optimistic, pessimistic, and most likely times for each activity. Time is indicated in minutes in the table below. The expected time to prepare the dish is the weighted average of optimistic, pessimistic and most likely time.
Which of the following is the expected wait time for the chef to communicate to the customers?

A.
Approx. 22.0
B.
Approx. 51.0
C.
Approx. 47.3
D.
Approx. 32.3
E.
Approx. 40.0

Correct Answer:

Step-by-Step Solution

Key idea: This is a PERT (Program Evaluation and Review Technique) and Critical Path Method (CPM) question, recognizable by the "optimistic, pessimistic, and most likely" times and the need to find the "expected wait time".

Step 1: Calculate the expected time (TE) for each activity using the PERT formula: $T E = \frac{O pt imi s t i c + 4 \times M os t L ik e l y + P ess imi s t i c}{6}$ .

A: $(1 + 4 (1) + 1) /6 = 1.0$
B: $(2 + 4 (3) + 3) /6 = 2.83$
C: $(10 + 4 (12) + 13) /6 = 11.83$
D: $(5 + 4 (5) + 5) /6 = 5.0$
E: $(3 + 4 (4) + 6) /6 = 4.17$
F: $(1 + 4 (1) + 1) /6 = 1.0$
G: $(5 + 4 (7) + 10) /6 = 7.17$
H: $(9 + 4 (10) + 13) /6 = 10.33$
I: $(5 + 4 (5) + 5) /6 = 5.0$

Step 2: Map the dependencies to find the critical path (longest path).

Path 1: A $\to$ B $\to$ D $\to$ I = $1 + 2.83 + 5 + 5 = 13.83$
Path 2: A $\to$ B $\to$ F $\to$ I = $1 + 2.83 + 1 + 5 = 9.83$
Path 3: A $\to$ B $\to$ G $\to$ I = $1 + 2.83 + 7.17 + 5 = 16.0$
Path 4: A $\to$ C $\to$ E $\to$ I = $1 + 11.83 + 4.17 + 5 = 22.0$
Path 5: A $\to$ C $\to$ E $\to$ H $\to$ I = $1 + 11.83 + 4.17 + 10.33 + 5 = 32.33$

Step 3: The critical path is A $\to$ C $\to$ E $\to$ H $\to$ I, with a total expected time of 32.33 minutes.

Answer: Approx. 32.3

Question 2 · Decision Making (DM) MCQ

Common Description: During the oods of 2018-2019, a group of philanthropists led by Niyabuddin, wished to open free food centre for the needy. Their motto was that “no human should be hungry.” Nothing gives more satisfaction to the philanthropists than to see the hungry eat to the fullest.
Post Covid-19, the group started a food centre by the name Win Borne Life Care Food(WBLCF) in a small town called Palakkad. The centre started gaining popularity as the number of people enjoying free meals increased over time. Initially, WBLCF offered a standardized menu consisting of idli, upma, puttu for breakfast, curd rice for lunch, and idli or upma for supper. Six women were employed by WBLCF to prepare all the meals. As the number of diners increased, they started expecting a variety in the menu. At WBLCF, not all the diners eat"free": while two-thirds of diners get free food, one-third would donate some amount to a transparent charity box kept at the entrance. For example, a man donated Rs. 500 after consuming two idlis, and a woman approached Niyabuddin and inquired about donating 10 kilogrammes of rice. Those who could not afford to donate, were often seen prostrating worshipfully in front of the charity box. Some caring individuals made monetary donation while others donated rice, fruits and vegetables to WBLCF. Further, the centre received enquiries from many locals on how they could contribute to the cause.
As the centre was lauded for its philanthropic work by people of the town, Niyabuddin intended to replicate the initiative in the nearby districts. However, he is concerned about the cost that goes into running the centre.
Almost 75 percent of the donated amount goes into buying the cooking ingredients, while the rest goes into paying salaries, operations and maintenance costs. Niyabuddin realised that on some days the food was wasted while on other days diners went back hungry.
He sought advice from a consultant friend on how to reduce wastage. The consultant suggested the following:
1. Launch a mobile app so that diners can pre-inform their arrival to WBLCF.
2. Ask diners who enjoy free meal to distribute excess food to hungry on streets
3. Ask diners to eat less as it is good for health
4. Preach people to eat less
5. Ration amount of food to be served to the diners
Which of the above ideas will not be consistent with the core ethos of WBLCF?

A.
2, 3& 5
B.
3, 4& 5
C.
1, 3& 4
D.
2, 3& 4
E.
1, 2& 3

Correct Answer:

Step-by-Step Solution

Key idea: This is an ethos-alignment and constraint evaluation question, recognizable because it asks which ideas are "not consistent with the core ethos of WBLCF".

Step 1: Define the core ethos. The motto is "no human should be hungry," and the centre provides free food to the needy with dignity, letting them "eat to the fullest."

Step 2: Evaluate each suggestion against this ethos.

Suggestion 1 (mobile app): Consistent. It helps with planning and reduces waste without compromising dignity.
Suggestion 2 (distributing excess food): Consistent. It redirects waste to the hungry, perfectly aligning with the motto.
Suggestion 3 (ask diners to eat less): Inconsistent. It shifts the burden to the needy and contradicts the goal of letting them "eat to the fullest."
Suggestion 4 (preach people to eat less): Inconsistent. Same reason as 3; it is paternalistic and violates the core mission of alleviating hunger.
Suggestion 5 (ration amount of food): Inconsistent. Rationing directly conflicts with the promise that "no human should be hungry" and denies diners the satisfaction of eating to their fill.

Step 3: Identify the inconsistent options: 3, 4, and 5.

Answer: 3, 4 & 5

Question 3 · Decision Making (DM) MCQ

Common Description: To prepare a dish(e.g., Dosa- Sambhar, Idli-chutney, Rajma-Chawal, Mawa-Bati), the chef has to nish nine activities, some of which could be done simultaneously, while others could not be done simultaneously(see diagram). One of the challenges faced by the chef was to precisely calculate the preparation time of a dish and communicate the waiting time to the customers.
However, based on the past data, the chef had an idea about approximate time taken to complete each activity.
He had noted down the best(optimistic), worst(pessimistic) and most likely(most commonly observed) time to nish each of the nine activities. Further, the chef realised that frequency of occurrence of most likely time was 66.666%, and the frequency of occurrence of pessimistic and optimistic times were 16.666% each. The diagram below shows the activities involved and the table shows the optimistic, pessimistic, and most likely times for each activity. Time is indicated in minutes in the table below. Customer dissatisfaction is the difference of actual waiting time(AWT) and expected waiting time(EWT).
AWT is the actual time spent by customer before being served the dish. EWT of the customer is the time communicated by the chef.
What is the minimum waiting time(EWT) that the chef should communicate to minimise customer dissatisfaction?

A.
38
B.
33
C.
40
D.
42
E.
35

Correct Answer:

Step-by-Step Solution

Key idea: This is a worst-case scenario planning question, recognizable because it asks for the "minimum waiting time (EWT) to minimise customer dissatisfaction", where dissatisfaction occurs if Actual Waiting Time (AWT) > Expected Waiting Time (EWT).

Step 1: Understand the goal. To ensure AWT is never greater than EWT (which causes dissatisfaction), the chef must communicate the maximum possible time the dish could take. This means using the pessimistic times for the critical path.

Step 2: Identify the critical path from the previous analysis: A $\to$ C $\to$ E $\to$ H $\to$ I.

Step 3: Sum the pessimistic times for these activities.

A: 1
C: 13
E: 6
H: 13
I: 5

Total pessimistic time = $1 + 13 + 6 + 13 + 5 = 38$ minutes.

Step 4: Communicating 38 minutes guarantees that the actual time will be $\leq 38$ minutes, thus minimizing dissatisfaction (the difference $A W T - E W T$ will be $\leq 0$ , meaning the customer never waits longer than promised).

Answer: 38

Question 4 · Decision Making (DM) MCQ

Common Description: During the oods of 2018-2019, a group of philanthropists led by Niyabuddin, wished to open free food centre for the needy. Their motto was that “no human should be hungry.” Nothing gives more satisfaction to the philanthropists than to see the hungry eat to the fullest.
Post Covid-19, the group started a food centre by the name Win Borne Life Care Food(WBLCF) in a small town called Palakkad. The centre started gaining popularity as the number of people enjoying free meals increased over time. Initially, WBLCF offered a standardized menu consisting of idli, upma, puttu for breakfast, curd rice for lunch, and idli or upma for supper. Six women were employed by WBLCF to prepare all the meals. As the number of diners increased, they started expecting a variety in the menu. At WBLCF, not all the diners eat"free": while two-thirds of diners get free food, one-third would donate some amount to a transparent charity box kept at the entrance. For example, a man donated Rs. 500 after consuming two idlis, and a woman approached Niyabuddin and inquired about donating 10 kilogrammes of rice. Those who could not afford to donate, were often seen prostrating worshipfully in front of the charity box. Some caring individuals made monetary donation while others donated rice, fruits and vegetables to WBLCF. Further, the centre received enquiries from many locals on how they could contribute to the cause.
As the centre was lauded for its philanthropic work by people of the town, Niyabuddin intended to replicate the initiative in the nearby districts. However, he is concerned about the cost that goes into running the centre.
Almost 75 percent of the donated amount goes into buying the cooking ingredients, while the rest goes into paying salaries, operations and maintenance costs. From the following, choose the MOST important challenge that Niyabuddin has to overcome to sustain WBLCF.

A.
Getting enough nances and donations
B.
Paying salaries to employees
C.
Attracting enough diners
D.
Having enough cooks and employees
E.
Preparing only local dishes for diners

Correct Answer:

Step-by-Step Solution

Key idea: This is a sustainability and root-cause analysis question, recognizable because it asks for the "MOST important challenge" to sustain and replicate an NGO initiative.

Step 1: Identify the core constraint. The passage explicitly states that Niyabuddin is concerned about the cost of running the centre and replicating it.

Step 2: Analyze the cost structure. "Almost 75 percent of the donated amount goes into buying the cooking ingredients, while the rest goes into paying salaries, operations and maintenance costs."

Step 3: Evaluate the options. All operational challenges (salaries, cooks, attracting diners, menu variety) are downstream effects of the primary constraint: funding. Without a steady stream of finances and donations, the centre cannot buy ingredients, pay salaries, or expand.

Answer: Getting enough finances and donations.

Question 5 · Decision Making (DM) MCQ

Common Description: During the oods of 2018-2019, a group of philanthropists led by Niyabuddin, wished to open free food centre for the needy. Their motto was that “no human should be hungry.” Nothing gives more satisfaction to the philanthropists than to see the hungry eat to the fullest.
Post Covid-19, the group started a food centre by the name Win Borne Life Care Food(WBLCF) in a small town called Palakkad. The centre started gaining popularity as the number of people enjoying free meals increased over time. Initially, WBLCF offered a standardized menu consisting of idli, upma, puttu for breakfast, curd rice for lunch, and idli or upma for supper. Six women were employed by WBLCF to prepare all the meals. As the number of diners increased, they started expecting a variety in the menu. At WBLCF, not all the diners eat"free": while two-thirds of diners get free food, one-third would donate some amount to a transparent charity box kept at the entrance. For example, a man donated Rs. 500 after consuming two idlis, and a woman approached Niyabuddin and inquired about donating 10 kilogrammes of rice. Those who could not afford to donate, were often seen prostrating worshipfully in front of the charity box. Some caring individuals made monetary donation while others donated rice, fruits and vegetables to WBLCF. Further, the centre received enquiries from many locals on how they could contribute to the cause.
As the centre was lauded for its philanthropic work by people of the town, Niyabuddin intended to replicate the initiative in the nearby districts. However, he is concerned about the cost that goes into running the centre.
Almost 75 percent of the donated amount goes into buying the cooking ingredients, while the rest goes into paying salaries, operations and maintenance costs. Niyabuddin wanted to conserve local recipes that can be used to prepare mouth-smacking dishes for the diners.
Which of the following could be the BEST way to conserve local recipes?

A.
Hold a weekly competition for the best local dish and get it judged and documented by local volunteers
B.
Request a lady once a week in Palakkad to cook food at WBLCF on voluntary basis and document the recipes
C.
Tie up with one of food delivery partners to help them document the recipes
D.
Tie-up with the chef of the best restaurant in Palakkad to document recipes
E.
Ask free diners to contribute towards one recipe for a dish and give them the responsibility to document it

Correct Answer:

Step-by-Step Solution

Key idea: This is a stakeholder alignment and sustainable operations question, recognizable because it asks for the "BEST way" to achieve a goal within an NGO context.

Step 1: Identify the core ethos of WBLCF. It relies on community goodwill, volunteerism, and local engagement.

Step 2: Evaluate the options against this ethos.

Option A (weekly competition with local volunteers) actively engages the community, leverages free volunteer labor, and systematically documents recipes. It is sustainable and inclusive.
Option B (one lady once a week) is too narrow and may not capture diverse recipes.
Option C (food delivery partners) misaligns with the NGO's non-commercial, community-focused nature.
Option D (best restaurant chef) introduces commercial bias and may not reflect authentic local home-cooked recipes.
Option E (asking free diners to document) places an unfair burden on the needy and lacks systematic quality control.

Answer: Hold a weekly competition for the best local dish and get it judged and documented by local volunteers.

A question from this chapter

Question 1

Common Description: To prepare a dish(e.g., Dosa- Sambhar, Idli-chutney, Rajma-Chawal, Mawa-Bati), the chef has to nish nine activities, some of which could be done simultaneously, while others could not be done simultaneously(see diagram). One of the challenges faced by the chef was to precisely calculate the preparation time of a dish and communicate the waiting time to the customers. However, based on the past data, the chef had an idea about approximate time taken to complete each activity. He had noted down the best(optimistic), worst(pessimistic) and most likely(most commonly observed) time to nish each of the nine activities. Further, the chef realised that frequency of occurrence of most likely time was 66.666%, and the frequency of occurrence of pessimistic and optimistic times were 16.666% each. The diagram below shows the activities involved and the table shows the optimistic, pessimistic, and most likely times for each activity. Time is indicated in minutes in the table below. The expected time to prepare the dish is the weighted average of optimistic, pessimistic and most likely time. Which of the following is the expected wait time for the chef to communicate to the customers?

Question 2

Question 3

Common Description: To prepare a dish(e.g., Dosa- Sambhar, Idli-chutney, Rajma-Chawal, Mawa-Bati), the chef has to nish nine activities, some of which could be done simultaneously, while others could not be done simultaneously(see diagram). One of the challenges faced by the chef was to precisely calculate the preparation time of a dish and communicate the waiting time to the customers. However, based on the past data, the chef had an idea about approximate time taken to complete each activity. He had noted down the best(optimistic), worst(pessimistic) and most likely(most commonly observed) time to nish each of the nine activities. Further, the chef realised that frequency of occurrence of most likely time was 66.666%, and the frequency of occurrence of pessimistic and optimistic times were 16.666% each. The diagram below shows the activities involved and the table shows the optimistic, pessimistic, and most likely times for each activity. Time is indicated in minutes in the table below. Customer dissatisfaction is the difference of actual waiting time(AWT) and expected waiting time(EWT). AWT is the actual time spent by customer before being served the dish. EWT of the customer is the time communicated by the chef. What is the minimum waiting time(EWT) that the chef should communicate to minimise customer dissatisfaction?

Question 4

Common Description: During the oods of 2018-2019, a group of philanthropists led by Niyabuddin, wished to open free food centre for the needy. Their motto was that “no human should be hungry.” Nothing gives more satisfaction to the philanthropists than to see the hungry eat to the fullest. Post Covid-19, the group started a food centre by the name Win Borne Life Care Food(WBLCF) in a small town called Palakkad. The centre started gaining popularity as the number of people enjoying free meals increased over time. Initially, WBLCF offered a standardized menu consisting of idli, upma, puttu for breakfast, curd rice for lunch, and idli or upma for supper. Six women were employed by WBLCF to prepare all the meals. As the number of diners increased, they started expecting a variety in the menu. At WBLCF, not all the diners eat"free": while two-thirds of diners get free food, one-third would donate some amount to a transparent charity box kept at the entrance. For example, a man donated Rs. 500 after consuming two idlis, and a woman approached Niyabuddin and inquired about donating 10 kilogrammes of rice. Those who could not afford to donate, were often seen prostrating worshipfully in front of the charity box. Some caring individuals made monetary donation while others donated rice, fruits and vegetables to WBLCF. Further, the centre received enquiries from many locals on how they could contribute to the cause. As the centre was lauded for its philanthropic work by people of the town, Niyabuddin intended to replicate the initiative in the nearby districts. However, he is concerned about the cost that goes into running the centre. Almost 75 percent of the donated amount goes into buying the cooking ingredients, while the rest goes into paying salaries, operations and maintenance costs. From the following, choose the MOST important challenge that Niyabuddin has to overcome to sustain WBLCF.

Question 5

Common Description: During the oods of 2018-2019, a group of philanthropists led by Niyabuddin, wished to open free food centre for the needy. Their motto was that “no human should be hungry.” Nothing gives more satisfaction to the philanthropists than to see the hungry eat to the fullest. Post Covid-19, the group started a food centre by the name Win Borne Life Care Food(WBLCF) in a small town called Palakkad. The centre started gaining popularity as the number of people enjoying free meals increased over time. Initially, WBLCF offered a standardized menu consisting of idli, upma, puttu for breakfast, curd rice for lunch, and idli or upma for supper. Six women were employed by WBLCF to prepare all the meals. As the number of diners increased, they started expecting a variety in the menu. At WBLCF, not all the diners eat"free": while two-thirds of diners get free food, one-third would donate some amount to a transparent charity box kept at the entrance. For example, a man donated Rs. 500 after consuming two idlis, and a woman approached Niyabuddin and inquired about donating 10 kilogrammes of rice. Those who could not afford to donate, were often seen prostrating worshipfully in front of the charity box. Some caring individuals made monetary donation while others donated rice, fruits and vegetables to WBLCF. Further, the centre received enquiries from many locals on how they could contribute to the cause. As the centre was lauded for its philanthropic work by people of the town, Niyabuddin intended to replicate the initiative in the nearby districts. However, he is concerned about the cost that goes into running the centre. Almost 75 percent of the donated amount goes into buying the cooking ingredients, while the rest goes into paying salaries, operations and maintenance costs. Niyabuddin wanted to conserve local recipes that can be used to prepare mouth-smacking dishes for the diners. Which of the following could be the BEST way to conserve local recipes?

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Operations, Social Initiatives and Process Optimization Previous Year Questions (PYQs) for XAT: 6+ Solved Questions with Step-by-Step Solutions

Chapter Roadmap: Operations and Social Initiatives

Chapter Roadmap

The Core Intuition: Operations for Social Impact

The Core Intuition

Operations, Social Initiatives and Process Optimization: Solved Questions with Step-by-Step Explanations (5 Problems)

Step-by-Step Solution

Step-by-Step Solution

Step-by-Step Solution

Step-by-Step Solution

Step-by-Step Solution

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A question from this chapter

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