# LR - Selection & Distribution - Previous Year CAT/MBA Questions

You can practice all previous year CAT questions from the topic LR - Selection & Distribution. This will help you understand the type of questions asked in CAT. It would be best if you clear your concepts before you practice previous year CAT questions.

**Answer the next 4 questions based on the information given **

Ganga, Kaveri, and Narmada are three women who buy four raw materials (Mango, Apple, Banana and Milk) and sell five finished products (Mango smoothie, Apple smoothie, Banana smoothie, Mixed fruit smoothie and Fruit salad). Table-1 gives information about the raw materials required to produce the five finished products. One unit of a finished product requires one unit of each of the raw materials mentioned in the second column of the table.

**Table - 1**

One unit of milk, mango, apple, and banana cost ₹5, ₹3, ₹2, and ₹1 respectively. Each unit of a finished product is sold for a profit equal to two times the number of raw materials used to make that product. For example, apple smoothie is made with two raw materials (apple and milk) and will be sold for a profit of ₹4 per unit. Leftover raw materials are sold during the last business hour of the day for a loss of ₹1 per unit. The amount, in rupees, received from sales (revenue) for each woman in each of the four business hours of the day is given in Table-2.

**Table - 2**

The following additional facts are known.

- No one except possibly Ganga sold any Mango smoothie.
- Each woman sold either zero or one unit of any single finished product in any hour.
- Each woman had exactly one unit each of two different raw materials as leftovers.
- No one had any banana leftover.

**CAT 2021 LRDI Slot 1 | LR - Selection & Distribution**

What BEST can be concluded about the number of units of fruit salad sold in the first hour?

- A.
Either 0 or 2

- B.
Exactly 2

- C.
Exactly 1

- D.
Either 1 or 2

Answer: Option D

**Explanation** :

One unit of milk, mango, apple, and banana cost ₹5, ₹3, ₹2, and ₹1 respectively

We can make the following table for Cost price, Profit and Selling price of each of the products.

Now, we can make the following table for types of products sold be each of the three based on selling price

**Note**: No one except Ganga sells Mango Smoothie.

After the last hour each woman had exactly one unit each of two different raw materials as leftovers but no one had any banana.

Also, leftover raw materials are sold during the last business hour of the day for a loss of ₹1 per unit

∴ Items left could be

(Milk + Mango) ⇒ CP = 8 ⇒ sold at Rs. 6

(Milk + Apple) ⇒ CP = 7 ⇒ sold at Rs. 5

(Apple + Mango) ⇒ CP = 5 ⇒ sold at Rs. 3

**Ganga **sells items worth Rs. 30 in last hour, out of these

**Case 1**: Rs. 6 could be earned from left-overs hence Rs. 24 would be earned from finished products. This is possible by selling Mango Smoothie and Fruit Salad.

**Case 2**: Rs. 5 could be earned from left-overs hence Rs. 25 would be earned from finished products. This is not possible.

**Case 3**: Rs. 3 could be earned from left-overs hence Rs. 27 would be earned from finished products. This is not possible.

Hence, Ganga sells Mango Smoothie and Fruit Salad in the last hour and the left-over items are one unit of Milk and Mango each .

Kaveri sells items worth Rs. 27 in last hour, out of these

**Case 1**: Rs. 6 could be earned from left-overs hence Rs. 21 would be earned from finished products. This is possible by selling Apple Smoothie and Banana Smoothie.

**Case 2**: Rs. 5 could be earned from left-overs hence Rs. 22 would be earned from finished products. This is possible by selling Banana Smoothie and Fruit Salad.

**Case 3**: Rs. 3 could be earned from left-overs hence Rs. 24 would be earned from finished products. This is not possible.

Hence, we have 2 cases for Kaveri.

Narmada sells items worth Rs. 22 in last hour, out of these

**Case 1**: Rs. 6 could be earned from left-overs hence Rs. 16 would be earned from finished products. This is not possible.

**Case 2**: Rs. 5 could be earned from left-overs hence Rs. 17 would be earned from finished products. This is not possible.

**Case 3**: Rs. 3 could be earned from left-overs hence Rs. 19 would be earned from finished products. This is possible by selling Mixed Fruit Smoothie.

Hence, Narmada sells Mixed Fruit Smoothie in the last hour and if left with one unit of Apple and Mango each.

Hence, we have the following final table

Narmada sells one unit of Fruit Salad while Ganga may or may not sell one unit of Fruit Salad.

∴ Number of Fruit Salads sold in first hour can be either 1 unit or 2 units.

Hence, option (d).

Workspace:

**CAT 2021 LRDI Slot 1 | LR - Selection & Distribution**

Which of the following is NECESSARILY true?

- A.
Kaveri sold one unit of leftover mangoes.

- B.
Ganga did not sell any leftover apples.

- C.
Narmada sold one unit of leftover milk.

- D.
Ganga did not sell any leftover mangoes.

Answer: Option B

**Explanation** :

Consider the solution to first question of this set.

Hence, option (b).

Workspace:

**CAT 2021 LRDI Slot 1 | LR - Selection & Distribution**

What BEST can be concluded about the total number of units of milk the three women had in the beginning?

- A.
Either 18 or 19 or 20 units.

- B.
Either 19 or 20 units.

- C.
Either 17 or 18 or 19 units.

- D.
Either 18 or 19 units.

Answer: Option A

**Explanation** :

Consider the solution to first question of this set.

Number of units of milk with

**Ganga **= 1/2 (Hour 1) + 2 (Hour 2) + 2 (Hour 3) + 1 (Hour 3) + 1 (Left-over) = 7/8 units

**Kaveri **= 1 (Hour 1) + 1 (Hour 2) + 2 (Hour 3) + 1/2 (Hour 3) + 1 (Left-over) = 6/7 units

**Narmada **= 1 (Hour 1) + 2 (Hour 2) + 1 (Hour 3) + 1 (Hour 3) + 0 (Left-over) = 5 units

∴ Number of units of milk initially could be 18 or 19 or 20.

Hence, option (a).

Workspace:

**CAT 2021 LRDI Slot 1 | LR - Selection & Distribution**

If it is known that three leftover units of mangoes were sold during the last business hour of the day, how many apple smoothies were sold during the day?

Answer: 6

**Explanation** :

Consider the solution to first question of this set.

Since, 3 units of leftover mangoes were sold at the end of the day, hence Kaveri sold leftover mango that means she sold Apple Smoothie in the 4th hour.

We can make the following table with the additional information.

Number of apple smoothies sold by

Ganga = 2, Kaveri = 1 and Narmada = 2

⇒ Total Apple Smoothies sold = 2 + 2 + 2 = 6

Hence, 6.

Workspace:

**Answer the next 6 questions based on the information given **

A journal plans to publish 18 research papers, written by eight authors (A, B, C, D, E, F, G, and H) in four issues of the journal scheduled in January, April, July and October. Each of the research papers was written by exactly one of the eight authors. Five papers were scheduled in each of the first two issues, while four were scheduled in each of the last two issues. Every author wrote at least one paper and at most three papers. The total number of papers written by A, D, G and H was double the total number of papers written by the other four authors. Four of the authors were from India and two each were from Japan and China. Each author belonged to exactly one of the three areas — Manufacturing, Automation and Logistics. Four of the authors were from the Logistics area and two were from the Automation area. As per the journal policy, none of the authors could have more than one paper in any issue of the journal.

The following facts are also known.

- F, an Indian author from the Logistics area, wrote only one paper. It was scheduled in the October issue.
- A was from the Automation area and did not have a paper scheduled in the October issue.
- None of the Indian authors were from the Manufacturing area and none of the Japanese or Chinese authors were from the Automation area.
- A and H were from different countries, but had their papers scheduled in exactly the same issues.
- C and E, both Chinese authors from different areas, had the same number of papers scheduled. Further, E had papers scheduled in consecutive issues of the journal but C did not.
- B, from the Logistics area, had a paper scheduled in the April issue of the journal.
- B and G belonged to the same country. None of their papers were scheduled in the same issue of the journal.
- D, a Japanese author from the Manufacturing area, did not have a paper scheduled in the July issue.
- C and H belonged to different areas.

**CAT 2021 LRDI Slot 1 | LR - Selection & Distribution**

What is the correct sequence of number of papers written by B, C, E and G, respectively?

- A.
1, 2, 2, 3

- B.
1, 3, 3, 1

- C.
3, 1, 1, 3

- D.
1, 2, 2, 1

Answer: Option A

**Explanation** :

Workspace:

**CAT 2021 LRDI Slot 1 | LR - Selection & Distribution**

How many papers were written by Indian authors?

Answer: 8

**Explanation** :

Workspace:

**CAT 2021 LRDI Slot 1 | LR - Selection & Distribution**

Which of the following statement(s) MUST be true?

**Statement A**: Every issue had at least one paper by author(s) from each country.

**Statement B**: Every issue had at most two papers by author(s) from each area.

- A.
Neither of the statements

- B.
Both the statements

- C.
Only Statement A

- D.
Only Statement B

Answer: Option C

**Explanation** :

Workspace:

**CAT 2021 LRDI Slot 1 | LR - Selection & Distribution**

Which of the following statements is FALSE?

- A.
Every issue had at least one paper by author(s) from Automation area.

- B.
Every issue had exactly two papers by Indian authors.

- C.
Every issue had exactly two papers by authors from Logistics area.

- D.
Every issue had exactly one paper by a Chinese author.

Answer: Option C

**Explanation** :

Workspace:

**CAT 2021 LRDI Slot 1 | LR - Selection & Distribution**

Which of the following statements is FALSE?

- A.
There was exactly one paper by an author from Manufacturing area in the April issue.

- B.
There was exactly one paper by an author from Logistics area in the October issue.

- C.
There were exactly two papers by authors from Manufacturing area in the January issue.

- D.
There were exactly two papers by authors from Manufacturing area in the July issue.

Answer: Option D

**Explanation** :

Workspace:

**CAT 2021 LRDI Slot 1 | LR - Selection & Distribution**

Which of the following is the correct sequence of number of papers by authors from Automation, Manufacturing and Logistics areas, respectively?

- A.
6, 6, 6

- B.
6, 5, 7

- C.
6, 7, 5

- D.
5, 6, 7

Answer: Option B

**Explanation** :

Workspace:

**Answer the next 6 questions based on the information given **

Ravi works in an online food-delivery company. After each delivery, customers rate Ravi on each of four parameters – Behaviour, Packaging, Hygiene, and Timeliness, on a scale from 1 to 9. If the total of the four rating points is 25 or more, then Ravi gets a bonus of ₹20 for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it

is either ₹30 or ₹50.

One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of ₹120 in bonus and tips. He did not get both a bonus and a tip from the same customer.

The following additional facts are also known.

- In Timeliness, Ravi received a total of 21 points, and three of the customers gave him the same rating points in this parameter. Atal gave higher rating points than Bihari and Chirag in this parameter.
- Ravi received distinct rating points in Packaging from the four customers adding up to 29 points. Similarly, Ravi received distinct rating points in Hygiene from the four customers adding up to 26 points.
- Chirag gave the same rating points for Packaging and Hygiene.
- Among the four customers, Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
- Everyone rated Ravi between 5 and 7 in Behaviour. Unique maximum and minimum ratings in this parameter were given by Atal and Deepak respectively.
- If the customers are ranked based on ratings given by them in individual parameters, then Atal’s rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak.

**CAT 2021 LRDI Slot 2 | LR - Selection & Distribution**

What was the minimum rating that Ravi received from any customer in any parameter?

Answer: 5

**Explanation** :

**Timeliness:**

From (1): Ravi’s rating in Timeliness by 4 customers can be either (6, 5, 5, 5) or (9, 4, 4, 4) where Atal’s rating will be higher than the other 3 customers.

**Packaging:**

From (2): Ravi’s rating in Packaging by 4 customers will be (9, 8, 7, 5) in any order.

From (4): Bihari’s rating in Packaging will be 9.

**Hygiene:**

From (3 and 4): Chirag gave highest rating in hygiene which is same as his rating in packaging. Since Chirag can not give a rating of 9 in packaging (which is given by Bihari), highest rating Chirag can give in hygiene can be 8 or lower, which is same as the rating given by him in packaging.

From (2 and 3 and 4): Ravi’s rating in Hygiene by 4 customers is (8, 7, 6, 5).

∴ Ratings given by Chirag in packaging and hygiene is 8.

**Behaviour:**

From (5): Ravi’s rating in Behaviour given by Atal and Deepak is 7 and 5 respectively and rating given by Bihari and Chirag is 6.

We can make the following table from the information we have so far.

From (6): If Atal and Deepak will have the same ranking in packaging and hygiene.

Since Bihari and Chirag are given the two best rating in packaging, Atal and Deepak will give the two least ratings in packaging and hygiene.

∴ Rating given by Bihari in hygiene is 7.

Hence, we have two cases

**Case 1:**

**Case 2: **

[**Note**: Ravi gets a bonus of Rs. 20 from a customer if the total of four rating points by that customer is 25 or more. Else Ravi may or may not get a tip amount of Rs. 30 or Rs. 50.]

**Consider Case 1**: It is not possible for Ravi to earn a total amount of Rs. 120. Hence we can reject case 1.

**Consider Case 2**: For Ravi to earn a total amount of Rs. 120, he should not receive bonus from Atal.

∴ Ravi gets a total rating of < 25 from Atal. This is possible when Atal gives a rating of 6 for Timeliness.

Also, a total of Rs. 120 will be possible when Atal or Deepak give Ravi a tip amount of Rs. 30 or Rs. 50 in any order.

∴ We get the final table as below.

∴ Minimum rating received by Ravi in any parameter is 5.

i.e., by Deepak in Behaviour, by Atal in Packaging etc.

Hence, 5.

Workspace:

**CAT 2021 LRDI Slot 2 | LR - Selection & Distribution**

The COMPLETE list of customers who gave the maximum total rating points to Ravi is

- A.
Atal

- B.
Bihari

- C.
Atal and Bihari

- D.
Bihari and Chirag

Answer: Option D

**Explanation** :

Consider the solution to first question of this set.

Bihari and Chirag give a maximum total rating of 27 to Ravi.

Hence, option (d).

Workspace:

**CAT 2021 LRDI Slot 2 | LR - Selection & Distribution**

What rating did Atal give on Timeliness?

Answer: 6

**Explanation** :

Consider the solution to first question of this set.

Atal gave a rating of 6 in Timeliness.

Hence, 6.

Workspace:

**CAT 2021 LRDI Slot 2 | LR - Selection & Distribution**

What BEST can be concluded about the tip amount given by Deepak?

- A.
Either Rs. 0, or Rs. 30 or Rs. 50

- B.
Either Rs. 30 or Rs. 50

- C.
Rs. 50

- D.
Rs. 30

Answer: Option B

**Explanation** :

Consider the solution to first question of this set.

Deepak has to give a tip amount of Rs. 30 or Rs. 50.

Hence, option (b).

Workspace:

**CAT 2021 LRDI Slot 2 | LR - Selection & Distribution**

In which parameter did Atal give the maximum rating points to Ravi?

- A.
Timeliness

- B.
Hygiene

- C.
Behaviour

- D.
Packaging

Answer: Option C

**Explanation** :

Consider the solution to first question of this set.

Atal gave a maximum rating of 7 in Behaviour.

Hence, option (c).

Workspace:

**CAT 2021 LRDI Slot 2 | LR - Selection & Distribution**

What rating did Deepak give on Packaging?

- A.
5

- B.
8

- C.
6

- D.
7

Answer: Option D

**Explanation** :

Consider the solution to first question of this set.

Deepak gave a rating of 7 in packaging.

Hence, option (d).

Workspace:

**Answer the next 6 questions based on the information given **

Three reviewers Amal, Bimal, and Komal are tasked with selecting questions from a pool of 13 questions (Q01 to Q13). Questions can be created by external “subject matter experts” (SMEs) or by one of the three reviewers. Each of the reviewers either approves or disapproves a question that is shown to them. Their decisions lead to eventual acceptance or rejection of the question in the manner described below.

If a question is created by an SME, it is reviewed first by Amal, and then by Bimal. If both of them approve the question, then the question is accepted and is not reviewed by Komal. If both disapprove the question, it is rejected and is not reviewed by Komal. If one of them approves the question and the other disapproves it, then the question is reviewed by Komal. Then the question is accepted only if she approves it.

A question created by one of the reviewers is decided upon by the other two. If a question is created by Amal, then it is first reviewed by Bimal. If Bimal approves the question, then it is accepted. Otherwise, it is reviewed by Komal. The question is then accepted only if Komal approves it. A similar process is followed for questions created by Bimal, whose questions are first reviewed by Komal, and then by Amal only if Komal disapproves it. Questions created by Komal are first reviewed by Amal, and then, if required, by Bimal.

The following facts are known about the review process after its completion.

- Q02, Q06, Q09, Q11, and Q12 were rejected and the other questions were accepted.
- Amal reviewed only Q02, Q03, Q04, Q06, Q08, Q10, Q11, and Q13.
- Bimal reviewed only Q02, Q04, Q06 through Q09, Q12, and Q13.
- Komal reviewed only Q01 through Q05, Q07, Q08, Q09, Q11, and Q12.

**CAT 2021 LRDI Slot 3 | LR - Selection & Distribution**

How many questions were DEFINITELY created by Amal?

Answer: 3

**Explanation** :

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**CAT 2021 LRDI Slot 3 | LR - Selection & Distribution**

How many questions were DEFINITELY created by Komal?

Answer: 1

**Explanation** :

Workspace:

**CAT 2021 LRDI Slot 3 | LR - Selection & Distribution**

How many questions were DEFINITELY created by SMEs?

Answer: 3

**Explanation** :

Workspace:

**CAT 2021 LRDI Slot 3 | LR - Selection & Distribution**

How many questions were DEFINITELY disapproved by Bimal?

- A.
7

- B.
5

- C.
4

- D.
3

Answer: Option C

**Explanation** :

Workspace:

**CAT 2021 LRDI Slot 3 | LR - Selection & Distribution**

The approval ratio of a reviewer is the ratio of the number of questions (s)he approved to the number of questions (s)he reviewed. Which option best describes Amal’s approval ratio?

- A.
0.25

- B.
lies between 0.25 and 0.75

- C.
lies between 0.25 and 0.50

- D.
either 0.25 or 0.75

Answer: Option B

**Explanation** :

Workspace:

**CAT 2021 LRDI Slot 3 | LR - Selection & Distribution**

How many questions created by Amal or Bimal were disapproved by at least one of the other reviewers?

- A.
4

- B.
7

- C.
2

- D.
5

Answer: Option D

**Explanation** :

Workspace:

**Answer the next 4 questions based on the information given below.**

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 table 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.

- Both A and B are experts in mridangam, but only one of them is also an expert in tabla.
- D is an expert in both tabla and ghatam.
- Both F and G are experts in tabla, but only one of them is also an expert in mridangam.
- Neither I nor J is an expert in tabla.
- Neither H nor I is an expert in mridangam, but only one of them is an expert in ghatam.

**CAT 2020 LRDI Slot 1 | LR - Selection & Distribution**

Who among the following is DEFINITELY an expert in tabla but not in either mridangam or ghatam?

- A.
F

- B.
A

- C.
H

- D.
C

Answer: Option C

**Explanation** :

We can draw the following Venn diagram based on the information given in the main paragraph.

D is an expert in both tabla and ghatam.

Since I is neither an expert in table nor in mridangam hence, he is an expert in ghatam

∴ D and I are the only two experts in ghatam.

Now, J is not an expert in tabla hence, he can only be an expert in mridangam only.

Also, H is not an expert in mridangam hence, he can only be an expert in table only.

Both A and B are experts in mridangam, but only one of them is also an expert in tabla.

Both F and G are experts in tabla, but only one of them is also an expert in mridangam.

There are two experts in table and mridangam only one of them is either A or B and the other is either F or G.

∴ We can make the following Venn diagram

∴ H is an expert in table only.

Hence, option (c).

Workspace:

**CAT 2020 LRDI Slot 1 | LR - Selection & Distribution**

Who among the following is DEFINITELY an expert in mridangam but not in either table or ghatam?

- A.
E

- B.
B

- C.
G

- D.
H

Answer: Option D

**Explanation** :

Consider the solution to the first question of this set.

J is an expert in mridangam only.

Hence, option (d).

Workspace:

**CAT 2020 LRDI Slot 1 | LR - Selection & Distribution**

Which of the following pairs CANNOT have any musician who is an expert in both tabla and mridangam but not in ghatam?

- A.
C and E

- B.
C and F

- C.
A and B

- D.
F and G

Answer: Option B

**Explanation** :

Consider the solution to the first question of this set.

Neither C nor E can be an expert in both table and mridangam.

Hence, option (b).

Workspace:

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