Question 1
How many days between Sep 1 and Sep 14 (both inclusive) had no booking from this client considering all categories? (numerical value)
Correct answer: 6
All 20 DILR questions from the CAT 2021 · Slot 2 paper, with the correct answer for each.
Gantt-style bars show orders per category (Art, Binders, ...) booked in the first two weeks of September for one client; a bar's colour = ship mode (First/Second/Standard class), its left end = booking day and right end = dispatch day, and processing time = dispatch - booking. A new order in a category starts only after the previous one dispatches; no two consecutive orders of a category share a ship mode.
How many days between Sep 1 and Sep 14 (both inclusive) had no booking from this client considering all categories? (numerical value)
Correct answer: 6
What was the average processing time of all orders in the categories which had only one type of ship mode? (in numerical
value)
Correct answer: 11
The sequence of categories -- Art, Binders, Paper and Phones -- in decreasing order of average processing time of their orders
in this period is:
Correct answer: B · Phones, Art, Binders, Paper
Approximately what percentage of orders had a processing time of one day during the period Sep 1 to Sep 22 (both dates
inclusive)?
Correct answer: C · 20%
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 (order: o1 o2 o3 o4 o5 o6 o7 o8 o9 o10):
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.
1. If someone's value for an object is 10, then she/he received that object.
2. Objects o1, o2, and o3 were given to three different people.
3. Objects o1 and o8 were given to different people.
4. Three people value their own bundles at 16. No one values her/his own bundle at a number higher than 16.
5. Disha values her own bundle at an odd number. All others value their own bundles at an even number.
6. 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.
What BEST can be said about object o8?
Correct answer: C · o8 was given to Charles
Who among the following envies someone else?
Correct answer: C · Amar
What is Amar’s value for his own bundle? (in numerical value)
Correct answer: 12
Object o4 was given to
Correct answer: D · Disha
Object o5 was given to
Correct answer: B · Elise
What BEST can be said about the distribution of object o1?
Correct answer: A · o1 was given to Disha
Chango is a 2-player, no-draw game. 12 players sit in four groups of 3 (A: Aruna/Azul/Arif, B: Brinda/Brij/Biju, C: Chitra/Chetan/Chhavi, D: Dipen/Donna/Deb), each with distinct ranks. In a group the 2nd and 3rd seeds play; the winner plays the 1st seed; that winner takes the group into a semi-final (SF1 = A vs B, SF2 = C vs D); the two semi-winners meet in the final. From the game counts (Aruna, Biju, Chitra, Dipen 3 each; Azul, Chetan 2; others 1) plus 'Chitra didn't win', 'Aruna not vs Arif', 'Brij not vs Brinda'
Who among the following was DEFINITELY NOT ranked first in his/her group?
Correct answer: A · Dipen
Which of the following pairs must have played against each other in the championship?
Correct answer: D · Chitra, Dipen
Who won the championship?
Correct answer: B · Aruna
Who among the following did NOT play against Chitra in the championship?
Correct answer: D · Biju
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 Rs. 20 for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either Rs. 30 or Rs. 50.
One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of Rs. 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.
1. 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.
2. 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.
3. Chirag gave the same rating points for Packaging and Hygiene.
4. Among the four customers, Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
5. Everyone rated Ravi between 5 and 7 in Behaviour. Unique maximum and minimum ratings in this parameter were given by Atal and Deepak respectively.
6. 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.
What was the minimum rating that Ravi received from any customer in any parameter? (in numerical value)
Correct answer: 5
The COMPLETE list of customers who gave the maximum total rating points to Ravi is
Correct answer: C · Bihari and Chirag
What rating did Atal give on Timeliness? (in numerical value)
Correct answer: 6
What BEST can be concluded about the tip amount given by Deepak?
Correct answer: B · Either Rs. 30 or Rs. 50
In which parameter did Atal give the maximum rating points to Ravi?
Correct answer: B · Behaviour
What rating did Deepak give on Packaging?
Correct answer: A · 7