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CAT 2018 Slot 1 DILR · Set 1 of 8Logical ReasoningHard DifficultyQ1–Q4 · 4 MCQ

CAT 2018 Slot 1 DILR Set 1: Arrangements (4 Questions) with Solutions

The Arrangements set from the official CAT 2018 Slot 1 DILR paper: the caselet, all 4 questions, the official answer key and a step-by-step solution for each. 100% free, no sign-up.

The Set: Read the Caselet First

CAT 2018 Slot 1 DILR · Questions 1–4
Adriana, Bandita, Chitra, and Daisy are four female students, and Amit, Barun, Chetan, and Deb are four male students. Each of them studies in one of three institutes X,Y,X, Y, and ZZ. Each student majors in one subject among Marketing, Operations, and Finance, and minors in a different one among these three subjects. The following facts are known about the eight students:
1
Three students are from XX, three are from YY, and the remaining two students, both female, are from ZZ.
2
Both the male students from YY minor in Finance, while the female student from YY majors in Operations.
3
Only one male student majors in Operations, while three female students minor in Marketing.
4
One female and two male students major in Finance.
5
Adriana and Deb are from the same institute. Daisy and Amit are from the same institute.
6
Barun is from YY and majors in Operations. Chetan is from XX and majors in Finance.
7
Daisy minors in Operations.

In the exam this set competed with 7 others for 60 minutes. Budget about 8 minutes if you attempt it.

Q1. Arrangements

MCQ · +3 / −1
Who are the students from the institute ZZ?
  1. A) Chitra and Daisy
  2. B) Adriana and Bandita
  3. C) Bandita and Chitra
  4. D) Adriana and Daisy
Correct Answer
C) Bandita and Chitra
Step-by-step solution
📌 Core Concept
Count the students by institute and gender, then use the "same institute" pairs to see which females can go to Z.
🔢 Step-by-Step Solution
1
Fact 1 puts both Z students among the females, and fact 2 puts exactly one female in Y. Y has 3 students, so Y has 2 males and 1 female. X has 3 students, so X has the other 2 males and 1 female.
2
Fact 6 puts Barun in Y and Chetan in X. The second male in Y and the second male in X are therefore Amit and Deb, in some order.
3
Fact 5 says Adriana is with Deb and Daisy is with Amit. Whichever of Amit or Deb is in Y, the female with that male is the one female in Y. The other male's partner is the one female in X.
4
Adriana and Daisy are therefore the Y female and the X female, in some order. Neither is in Z.
5
The two females left over are Bandita and Chitra, so they are the students from Z.
Why Not the Others
A, B and D each include Adriana or Daisy, and both of those are placed in X or Y by the pairing with Deb and Amit.
Quick Check
X = Chetan, one of Amit/Deb, and one of Adriana/Daisy. Y = Barun, the other of Amit/Deb, and the other of Adriana/Daisy. Z = Bandita and Chitra.
Correct Answer: C

Q2. Arrangements

MCQ · +3 / −1
Which subject does Deb minor in?
  1. A) Operations
  2. B) Finance
  3. C) Marketing
  4. D) Cannot be determined uniquely from the given information
Correct Answer
B) Finance
Step-by-step solution
📌 Core Concept
Fix which male is in Y, since the Y males minor in Finance, and use Daisy's minor to rule out one case.
🔢 Step-by-Step Solution
1
From the institute split, Z is Bandita and Chitra. Y has Barun, one of Amit/Deb, and one of Adriana/Daisy.
2
Suppose Amit is in Y. Then Daisy, who is with Amit, is the female in Y. Fact 2 makes her major Operations, but fact 7 says she minors in Operations. Major and minor must differ, so this case fails.
3
Therefore Deb is in Y, with Adriana as the Y female. Amit and Daisy are in X.
4
Fact 2 says both male students from Y minor in Finance. Deb is a male student from Y, so Deb minors in Finance.
Why Not the Others
A and C: fact 2 fixes Deb's minor as Finance, so no other minor is possible.
D: the minor is determined once Amit-in-Y is eliminated.
Correct Answer: B

Q3. Arrangements

MCQ · +3 / −1
Which subject does Amit major in?
  1. A) Marketing
  2. B) Operations
  3. C) Cannot be determined uniquely from the given information
  4. D) Finance
Correct Answer
D) Finance
Step-by-step solution
📌 Core Concept
Assign male majors using the counts in facts 3 and 4, then place Amit using the institute assignment.
🔢 Step-by-Step Solution
1
Fact 3 allows only one male to major in Operations, and fact 6 gives that to Barun.
2
Fact 4 gives two males majoring in Finance. Chetan is one (fact 6). The other is Amit or Deb, and the remaining male majors in Marketing.
3
Amit in Y is impossible, because it would make Daisy the Y female. She would then major in Operations and also minor in Operations (fact 7), which is not allowed. So Deb is in Y and Amit is in X.
4
Deb is a male in Y, so he minors in Finance and cannot also major in it. He cannot major in Operations, which is Barun's alone, so Deb majors in Marketing.
5
That leaves Finance as Amit's major, completing the two male Finance majors, Chetan and Amit.
Why Not the Others
A: Deb already takes the Marketing slot.
B: Barun is the only male in Operations.
C: the analysis fixes Amit's major.
Correct Answer: D

Q4. Arrangements

MCQ · +3 / −1
If Chitra majors in Finance, which subject does Bandita major in?
  1. A) Finance
  2. B) Cannot be determined uniquely from the given information
  3. C) Operations
  4. D) Marketing
Correct Answer
C) Operations
Step-by-step solution
📌 Core Concept
Count the female majors and minors from facts 3, 4 and 7, with the placements already fixed.
🔢 Step-by-Step Solution
1
As before, Deb and Adriana are in Y and Amit and Daisy are in X. Adriana is the Y female, so she majors in Operations (fact 2).
2
Fact 4 allows exactly one female to major in Finance. The question gives that as Chitra.
3
Daisy minors in Operations (fact 7), so she cannot major in it. Finance is already taken by Chitra, so Daisy majors in Marketing.
4
Fact 3 says three females minor in Marketing. Daisy minors in Operations, so the three are Adriana, Bandita and Chitra.
5
Bandita therefore cannot major in Marketing, and she cannot major in Finance, which is Chitra's. She majors in Operations.
Why Not the Others
A: Finance is Chitra's only female slot.
D: Bandita minors in Marketing, so she cannot also major in it.
B: the facts determine her major.
Correct Answer: C
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CAT 2018 Slot 1 DILR at a Glance

Sets in this section8
Questions in this section32
Section time60 minutes
Convenor IIMIIM Calcutta

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