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CAT 2025 Lesson : DILR: Jul '25 to Aug '25 - Live Solving - 31 Jul 2025
Read the following and answer the questions that follow
Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream. It has two employees Anish and Bani who prepare the items ordered by the clients. Preparation time is 10 minutes for a burger and 2 minutes for an order of ice cream. An employee can prepare only one of these items at a time. The fries are prepared in an automatic fryer which can prepare up to 3 portions of fries at a time, and takes 5 minutes irrespective of the number of portions. The fryer does not need an employee to constantly attend to it, and we can ignore the time taken by an employee to start and stop the fryer; thus, an employee can be engaged in preparing other items while the frying is on. However, fries cannot be prepared in anticipation of future orders.
Healthy Bites wishes to serve the orders as early as possible. The individual items in any order are served as and when ready; however, the order is considered to be completely served only when all the items of that order are served.
The table below gives the orders of three clients and the times at which they placed their orders:
1) Assume that only one client's order can be processed at any given point of time. So, Anish or Bani cannot start preparing a new order while a previous order is being prepared.
At what time is the order placed by Client 1 completely served?
(1) 10:17
(2) 10:10
(3) 10:15
(4) 10:20
2) Assume that only one client's order can be processed at any given point of time. So, Anish or Bani cannot start preparing a new order while a previous order is being prepared.
At what time is the order placed by Client 3 completely served?
(1) 10:35
(2) 10:22
(3) 10:25
(4) 10:17
3) Suppose the employees are allowed to process multiple orders at a time, but the preference would be to finish orders of clients who placed their orders earlier.
At what time is the order placed by Client 2 completely served?
(1) 10:10
(2) 10:12
(3) 10:15
(4) 10:17
4) Suppose the employees are allowed to process multiple orders at a time, but the preference would be to finish orders of clients who placed their orders earlier.
Also assume that the fourth client came in only at 10:35. Between 10:00 and 10:30, for how many minutes is exactly one of the employees idle?
(1) 7
(2) 10
(3) 15
(4) 23
Read the following and answer the questions that follow
At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently. The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms. For any dorm, the estimated repair cost (in Rs. Crores) is an integer. Repairs with estimated cost Rs. 1 or 2 Crores are considered light repairs, repairs with estimated cost Rs. 3 or 4 are considered moderate repairs and repairs with estimated cost Rs. 5 or 6 Crores are considered extensive repairs.
Further, the following are known:
1. Odd-numbered dorms do not need light repair; even-numbered dorms do not need moderate repair and dorms, whose numbers are divisible by 3, do not need extensive repair.
2. Dorms 4 to 9 all need different repair costs, with Dorm 7 needing the maximum and Dorm 8 needing the minimum.
5) Which of the following is NOT necessarily true?
(1) Dorm 1 needs a moderate repair
(2) Dorm 5 repair will cost no more than Rs. 4 crores
(3) Dorm 7 needs an extensive repair
(4) Dorm 10 repair will cost no more than Rs. 4 crores
6) What is the total cost of repairing the odd-numbered dorms (in Rs. Crores)?
Answer:
7) Suppose further that:
1. 4 of the 10 dorms needing repair are women's dorms and need a total of Rs. 20 Crores for repair.
2. Only one of Dorms 1 to 5 is a women's dorm.
What is the cost for repairing Dorm 9 (in Rs. Crores)?
Answer:
8) Suppose further that:
1. 4 of the 10 dorms needing repair are women's dorms and need a total of Rs. 20 Crores for repair.
2. Only one of Dorms 1 to 5 is a women's dorm.
Which of the following is a women's dorm?
(1) Dorm 2
(2) Dorm 5
(3) Dorm 8
(4) Dorm 10
Read the following and answer the questions that follow
Ten musicians (A, B, C, D, E, F, G, H, I and J) are experts in at least one of the following three percussion instruments: tabla, mridangam, and ghatam. Among them, three are experts in tabla but not in mridangam or ghatam, another three are experts in mridangam but not in tabla or ghatam, and one is an expert in ghatam but not in tabla or mridangam. Further, two are experts in tabla and mridangam but not in ghatam, and one is an expert in tabla and ghatam but not in mridangam.
The following facts are known about these ten musicians.
1. Both A and B are experts in mridangam, but only one of them is also an expert in tabla.
2. D is an expert in both tabla and ghatam.
3. Both F and G are experts in tabla, but only one of them is also an expert in mridangam.
4. Neither I nor J is an expert in tabla.
5. Neither H nor I is an expert in mridangam, but only one of them is an expert in ghatam.
9) Who among the following is DEFINITELY an expert in tabla but not in either mridangam or ghatam?
(1) A
(2) H
(3) F
(4) C
10) Who among the following is DEFINITELY an expert in mridangam but not in either tabla or ghatam?
(1) B
(2) J
(3) G
(4) E
11) Which of the following pairs CANNOT have any musician who is an expert in both tabla and mridangam but not in ghatam?
(1) C and F
(2) F and G
(3) C and E
(4) A and B
12) If C is an expert in mridangam and F is not, then which are the three musicians who are experts in tabla but not in either mridangam or ghatam?
(1) E, G and H
(2) E, F and H
(3) C, G and H
(4) C, E and G
Read the following and answer the questions that follow
The horizontal bars in the above diagram represent 2020 aggregate sales (in ₹ million) of a company for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all other product subcategories belong to the office supply product category. For each of the product subcategories, there is a vertical line indicating the sales of the corresponding subcategory in 2019.
13) The total sales (in ₹ million) in 2019 from products in office supplies category is closest to
(1) 16.5
(2) 12.5
(3) 13.5
(4) 18.0
14) The percentage increase in sales in Furniture category from 2019 to 2020 is closest to
(1) 25%
(2) 20%
(3) 1%
(4) 8%
15) How many subcategories had sales of ₹ 4 million or more in 2019 and registered an increase in sales in excess of 25% in 2020?
Answer:
16) The improvement index for a category is the maximum percentage increase in sales from 2019 to 2020 among any of its subcategories. The correct order of categories in increasing order of this improvement index is
(1) technology, furniture, office supply
(2) furniture, technology, office supply
(3) office supply, technology, furniture
(4) office supply, furniture, technology
Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream. It has two employees Anish and Bani who prepare the items ordered by the clients. Preparation time is 10 minutes for a burger and 2 minutes for an order of ice cream. An employee can prepare only one of these items at a time. The fries are prepared in an automatic fryer which can prepare up to 3 portions of fries at a time, and takes 5 minutes irrespective of the number of portions. The fryer does not need an employee to constantly attend to it, and we can ignore the time taken by an employee to start and stop the fryer; thus, an employee can be engaged in preparing other items while the frying is on. However, fries cannot be prepared in anticipation of future orders.
Healthy Bites wishes to serve the orders as early as possible. The individual items in any order are served as and when ready; however, the order is considered to be completely served only when all the items of that order are served.
The table below gives the orders of three clients and the times at which they placed their orders:
1) Assume that only one client's order can be processed at any given point of time. So, Anish or Bani cannot start preparing a new order while a previous order is being prepared.
At what time is the order placed by Client 1 completely served?
(1) 10:17
(2) 10:10
(3) 10:15
(4) 10:20
2) Assume that only one client's order can be processed at any given point of time. So, Anish or Bani cannot start preparing a new order while a previous order is being prepared.
At what time is the order placed by Client 3 completely served?
(1) 10:35
(2) 10:22
(3) 10:25
(4) 10:17
3) Suppose the employees are allowed to process multiple orders at a time, but the preference would be to finish orders of clients who placed their orders earlier.
At what time is the order placed by Client 2 completely served?
(1) 10:10
(2) 10:12
(3) 10:15
(4) 10:17
4) Suppose the employees are allowed to process multiple orders at a time, but the preference would be to finish orders of clients who placed their orders earlier.
Also assume that the fourth client came in only at 10:35. Between 10:00 and 10:30, for how many minutes is exactly one of the employees idle?
(1) 7
(2) 10
(3) 15
(4) 23
Read the following and answer the questions that follow
At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently. The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms. For any dorm, the estimated repair cost (in Rs. Crores) is an integer. Repairs with estimated cost Rs. 1 or 2 Crores are considered light repairs, repairs with estimated cost Rs. 3 or 4 are considered moderate repairs and repairs with estimated cost Rs. 5 or 6 Crores are considered extensive repairs.
Further, the following are known:
1. Odd-numbered dorms do not need light repair; even-numbered dorms do not need moderate repair and dorms, whose numbers are divisible by 3, do not need extensive repair.
2. Dorms 4 to 9 all need different repair costs, with Dorm 7 needing the maximum and Dorm 8 needing the minimum.
5) Which of the following is NOT necessarily true?
(1) Dorm 1 needs a moderate repair
(2) Dorm 5 repair will cost no more than Rs. 4 crores
(3) Dorm 7 needs an extensive repair
(4) Dorm 10 repair will cost no more than Rs. 4 crores
6) What is the total cost of repairing the odd-numbered dorms (in Rs. Crores)?
Answer:
7) Suppose further that:
1. 4 of the 10 dorms needing repair are women's dorms and need a total of Rs. 20 Crores for repair.
2. Only one of Dorms 1 to 5 is a women's dorm.
What is the cost for repairing Dorm 9 (in Rs. Crores)?
Answer:
8) Suppose further that:
1. 4 of the 10 dorms needing repair are women's dorms and need a total of Rs. 20 Crores for repair.
2. Only one of Dorms 1 to 5 is a women's dorm.
Which of the following is a women's dorm?
(1) Dorm 2
(2) Dorm 5
(3) Dorm 8
(4) Dorm 10
Read the following and answer the questions that follow
Ten musicians (A, B, C, D, E, F, G, H, I and J) are experts in at least one of the following three percussion instruments: tabla, mridangam, and ghatam. Among them, three are experts in tabla but not in mridangam or ghatam, another three are experts in mridangam but not in tabla or ghatam, and one is an expert in ghatam but not in tabla or mridangam. Further, two are experts in tabla and mridangam but not in ghatam, and one is an expert in tabla and ghatam but not in mridangam.
The following facts are known about these ten musicians.
1. Both A and B are experts in mridangam, but only one of them is also an expert in tabla.
2. D is an expert in both tabla and ghatam.
3. Both F and G are experts in tabla, but only one of them is also an expert in mridangam.
4. Neither I nor J is an expert in tabla.
5. Neither H nor I is an expert in mridangam, but only one of them is an expert in ghatam.
9) Who among the following is DEFINITELY an expert in tabla but not in either mridangam or ghatam?
(1) A
(2) H
(3) F
(4) C
10) Who among the following is DEFINITELY an expert in mridangam but not in either tabla or ghatam?
(1) B
(2) J
(3) G
(4) E
11) Which of the following pairs CANNOT have any musician who is an expert in both tabla and mridangam but not in ghatam?
(1) C and F
(2) F and G
(3) C and E
(4) A and B
12) If C is an expert in mridangam and F is not, then which are the three musicians who are experts in tabla but not in either mridangam or ghatam?
(1) E, G and H
(2) E, F and H
(3) C, G and H
(4) C, E and G
Read the following and answer the questions that follow
The horizontal bars in the above diagram represent 2020 aggregate sales (in ₹ million) of a company for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all other product subcategories belong to the office supply product category. For each of the product subcategories, there is a vertical line indicating the sales of the corresponding subcategory in 2019.
13) The total sales (in ₹ million) in 2019 from products in office supplies category is closest to
(1) 16.5
(2) 12.5
(3) 13.5
(4) 18.0
14) The percentage increase in sales in Furniture category from 2019 to 2020 is closest to
(1) 25%
(2) 20%
(3) 1%
(4) 8%
15) How many subcategories had sales of ₹ 4 million or more in 2019 and registered an increase in sales in excess of 25% in 2020?
Answer:
16) The improvement index for a category is the maximum percentage increase in sales from 2019 to 2020 among any of its subcategories. The correct order of categories in increasing order of this improvement index is
(1) technology, furniture, office supply
(2) furniture, technology, office supply
(3) office supply, technology, furniture
(4) office supply, furniture, technology
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