# CAT 2021 LRDI Slot 2 | Previous Year CAT Paper

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

The different bars in the diagram above provide information about different orders in various categories (Art, Binders, ….) that were booked in the first two weeks of September of a store for one client. The colour and pattern of a bar denotes the ship mode (First Class / Second Class / Standard Class). The left end point of a bar indicates the booking day of the order, while the right end point indicates the dispatch day of the order. The difference between the dispatch day and the booking day (measured in terms of the number of days) is called the processing time of the order. For the same category, an order is considered for booking only after the previous order of the same category is dispatched. No two consecutive orders of the same category had identical ship mode during this period.

For example, there were only two orders in the furnishing category during this period. The first one was shipped in the Second Class. It was booked on Sep 1 and dispatched on Sep 5. The second order was shipped in the Standard class. It was booked on Sep 5 (although the order might have been placed before that) and dispatched on Sep 12. So the processing times were 4 and 7 days respectively for these orders.

**1. CAT 2021 LRDI Slot 2 | DI - Tables & Graphs**

How many days between Sep 1 and Sep 14 (both inclusive) had no booking from this client considering all the above categories?

Answer: 6

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**Explanation** :

There were no bookings on September 8, 9, 10, 11, 12 and 14.

∴ There was no booking on 6 days.

Hence, 6.

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**2. CAT 2021 LRDI Slot 2 | DI - Tables & Graphs**

What was the average processing time of all orders in the categories which had only one type of ship mode?

Answer: 11

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**Explanation** :

Let us first calculate the total processing time for categories which had only one type of shipping mode.

Accessories – 18 days

Envelopes – 4 days

Total number of orders = 1 + 1 = 2

∴ Average processing time = (18 + 4)/2 = 11

Hence, 11.

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**3. CAT 2021 LRDI Slot 2 | DI - Tables & Graphs**

The sequence of categories -- Art, Binders, Paper and Phones -- in decreasing order of average processing time of their orders in this period is:

- A.
Phones, Art, Binders, Paper

- B.
Paper, Binders, Art, Phones

- C.
Art, Binders, Paper, Phones

- D.
Phones, Binders, Art, Paper

Answer: Option A

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**Explanation** :

Let us calculate the average processing time for Arts:

Total number of days = 20

Total no. of orders = 4

∴ Average processing time for Art = 20/5 = 4 days

Similarly,

Average processing time for Binders = 15/4 = 3.75 days

Average processing time for Paper = 10/3 = 3.33 days

Average processing time for Phones = 15/3 = 5 days

Decreasing order of average processing time is

Phones > Art > Binders > Paper.

Hence, option (a).

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**4. CAT 2021 LRDI Slot 2 | DI - Tables & Graphs**

Approximately what percentage of orders had a processing time of one day during the period Sep 1 to Sep 22 (both dates inclusive)?

- A.
25%

- B.
22%

- C.
16%

- D.
20%

Answer: Option D

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**Explanation** :

Total number of orders = 5 + 4 + 3 + 3 + 2 + 3 + 3 + 2 + 2 + 2 + 2 + 1 + 1 + 2 = 35

Number of orders with processing time of one day = 1 (Art) + 2 (Binders) + 1 (Phones) + 2 (Bookcases) + 1 (Chairs) = 7

∴ Percentage of orders had a processing time of one day = 7/35 × 100 = 20%

Hence, option (d).

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.

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

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

Answer: 5

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**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:

**6. 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

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**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:

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

What rating did Atal give on Timeliness?

Answer: 6

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**Explanation** :

Consider the solution to first question of this set.

Atal gave a rating of 6 in Timeliness.

Hence, 6.

Workspace:

**8. 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

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**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:

**9. 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

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**Explanation** :

Consider the solution to first question of this set.

Atal gave a maximum rating of 7 in Behaviour.

Hence, option (c).

Workspace:

**10. 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

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**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 4 questions based on the information given **

The game of Chango is a game where two people play against each other; one of them wins and the other loses, i.e., there are no drawn Chango games. 12 players participated in a Chango championship. They were divided into four groups: Group A consisted of Aruna, Azul, and Arif; Group B consisted of Brinda, Brij, and Biju; Group C consisted of Chitra, Chetan, and Chhavi; and Group D consisted of Dipen, Donna, and Deb.

Players within each group had a distinct rank going into the championship. The players have NOT been listed necessarily according to their ranks. In the group stage of the game, the second and third ranked players play against each other, and the winner of that game plays against the first ranked player of the group. The winner of this second game is considered as

the winner of the group and enters a semi-final.

The winners from Groups A and B play against each other in one semi-final, while the winners from Groups C and D play against each other in the other semi-final. The winners of the two semi-finals play against each other in the final to decide the winner of the championship.

It is known that:

- Chitra did not win the championship.
- Aruna did not play against Arif. Brij did not play against Brinda.
- Aruna, Biju, Chitra, and Dipen played three games each, Azul and Chetan played two games each, and the remaining players played one game each.

**11. CAT 2021 LRDI Slot 2 | DI - Games & Tournaments**

Who among the following was DEFINITELY NOT ranked first in his/her group?

- A.
Brij

- B.
Chitra

- C.
Dipen

- D.
Aruna

Answer: Option C

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**Explanation** :

According to the information given we can draw the following table.

The winner of any group will have to play at least 2 games (at least one game in the group stage and 1 semi-final)

**Let us first consider group B:**

The winner of group B cannot be Brinda or Brij hence it has to be Biju.

Biju must have played one game each with Brinda and Brij in any order. Biju must have won both his group matches and qualified for the semi-finals.

Now, in the semi-final Biju must have played against the winner of group A. Biju would have lost this match since Biju only plays 3 matches.

∴ The winner of semi-final between group A and B is the winner of group B.

**Let us now consider group D:**

This case is same as that of group B.

Here, Dipen must have played one game each with Donna and Deb in any order. Dipen must have won both his group matches and qualified for the semi-finals.

Now, in the semi-final Dipen must have played against the winner of group C. Dipen would have lost this match since Dipen only plays 3 matches.

∴ The winner of semi-final between group C and D is the winner of group C.

∴ Final will be played between winners of group A and C.

Now winners of group A and group C must have played at least 3 matches (at least one match in group stage, 1 semi-final and 1 final)

∴ Winner of group A can only be Aruna and winner of group C can only be Chitra.

Since Chitra cannot be the champion hence Aruna will win the final and become the Champion.

As per the rules of the game, one of 2nd or 3rd ranked player of any group will play 2 matches in the group stage and the 1st ranked player will play only 1 match in group stage.

In group D, Dipen is definitely playing 2 matches during group stage, hence Dipen is definitely not the 1st ranked player in group D.

Hence, option (c).

Workspace:

**12. CAT 2021 LRDI Slot 2 | DI - Games & Tournaments**

Which of the following pairs must have played against each other in the championship?

- A.
Azul, Brij

- B.
Chitra, Dipen

- C.
Deb, Donna

- D.
Donna, Chetan

Answer: Option B

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**Explanation** :

Consider the solution to first question of this set.

Chitra and Dipen play against each other in 2nd semi-final.

Hence, option (b).

Workspace:

**13. CAT 2021 LRDI Slot 2 | DI - Games & Tournaments**

Who won the championship?

- A.
Brij

- B.
Chitra

- C.
Aruna

- D.
Cannot be determined

Answer: Option C

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**Explanation** :

Consider the solution to first question of this set.

Aruna won the championship.

Hence, option (c).

Workspace:

**14. CAT 2021 LRDI Slot 2 | DI - Games & Tournaments**

Who among the following did NOT play against Chitra in the championship?

- A.
Aruna

- B.
Biju

- C.
Chetan

- D.
Dipen

Answer: Option B

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**Explanation** :

Consider the solution to first question of this set.

Biju definitely did not play against Chitra in the championship.

Hence, option (b).

Workspace:

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

Ten objects o1, o2, …, o10 were distributed among Amar, Barat, Charles, Disha, and Elise. Each item went to exactly one person. Each person got exactly two of the items, and this pair of objects is called her/his bundle.

The following table shows how each person values each object.

The value of any bundle by a person is the sum of that person’s values of the objects in that

bundle. A person X envies another person Y if X values Y’s bundle more than X’s own bundle.

For example, hypothetically suppose Amar’s bundle consists of o1 and o2, and Barat’s bundle consists of o3 and o4. Then Amar values his own bundle at 4 + 9 = 13 and Barat’s bundle at 9 + 3 = 12. Hence Amar does not envy Barat. On the other hand, Barat values his own bundle at 7 + 5 = 12 and Amar’s bundle at 5 + 9 = 14. Hence Barat envies Amar.

The following facts are known about the actual distribution of the objects among the five

people.

- If someone’s value for an object is 10, then she/he received that object.
- Objects o1, o2, and o3 were given to three different people.
- Objects o1 and o8 were given to different people.
- Three people value their own bundles at 16. No one values her/his own bundle at a number higher than 16.
- Disha values her own bundle at an odd number. All others value their own bundles at an even number.
- Some people who value their own bundles less than 16 envy some other people who value their own bundle at 16. No one else envies others

**15. CAT 2021 LRDI Slot 2 | LR - Puzzles**

What BEST can be said about object o8?

- A.
o8 was given to Disha

- B.
o8 was given to Charles

- C.
o8 was given to Charles or Disha

- D.
o8 was given to Amar, Charles, or Disha

Workspace:

**16. CAT 2021 LRDI Slot 2 | LR - Puzzles**

Who among the following envies someone else?

- A.
Charles

- B.
Elise

- C.
Barat

- D.
Amar

Workspace:

**17. CAT 2021 LRDI Slot 2 | LR - Puzzles**

Object o4 was given to

- A.
Barat

- B.
Elise

- C.
Charles

- D.
Disha

Workspace:

**18. CAT 2021 LRDI Slot 2 | LR - Puzzles**

What is Amar’s value for his own bundle?

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**19. CAT 2021 LRDI Slot 2 | LR - Puzzles**

Object o5 was given to

- A.
Amar

- B.
Elise

- C.
Disha

- D.
Charles

Workspace:

**20. CAT 2021 LRDI Slot 2 | LR - Puzzles**

What BEST can be said about the distribution of object o1?

- A.
o1 was given to Charles

- B.
o1 was given to Charles, Disha, or Elise

- C.
o1 was given to Disha

- D.
o1 was given to Charles or Disha

Workspace:

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