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, and Z. 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 X, three are from Y, and the remaining two students, both female, are from Z. 2. Both the male students from Y minor in Finance, while the female student from Y 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 Y and majors in Operations. Chetan is from X and majors in Finance. 7. Daisy minors in Operations. Which subject does Amit major in? Option 1: Marketing Option 2: Operations Option 3: Cannot be determined uniquely from the given information Option 4: Finance

Answer: Finance. Solution: Understanding the Set This is a logic-based arrangement set involving: - 8 students: 4 female and 4 male - 3 institutes: X, Y, and Z - 3 subjects: Marketing, Operations, and Finance - Each student has one major and a different minor. The main task is to determine: 1. Which institute each student belongs to. 2. Their major and minor subjects. A useful approach is to first determine the institute-wise grouping using the gender and institute clues. Once the institutes are fixed, use the major/minor conditions to fill the subject information. —--, Institute, Students, X, Amit, Chetan, Daisy, Y, Barun, Deb, Adriana, Z, Bandita, Chitra, We know: - Barun is from Y. - Chetan is from X. - Y has 3 students, including two males and one female. - Z has exactly two students, and both are female. Therefore, the two female students in Z must be Bandita and Chitra. This leaves Adriana and Daisy as the female students in X and Y. Now use the same-institute clues: - Adriana and Deb are from the same institute. - Daisy and Amit are from the same institute. The arrangement that satisfies all the institute conditions is: - Y → Barun, Deb, Adriana - X → Amit, Chetan, Daisy - Z → Bandita, Chitra —--, Institute, Student, Major, Minor, X, Amit, X, Chetan, Finance, X, Daisy, Operations, Y, Barun, Operations, Finance, Y, Deb, Marketing, Finance, Y, Adriana, Operations, Marketing, Z, Bandita, Z, Chitra, Barun is explicitly given as Major = Operations Both male students from Y minor in Finance. Therefore: Barun → Operations major, Finance minor. - Deb → Finance minor. Since a student must major and minor in different subjects, Deb cannot major in Finance. Also, only one male student majors in Operations, and Barun is already that student. Therefore: Deb → Marketing major. The female student from Y majors in Operations. Since Adriana is the female student in Y: Adriana → Operations major. Her minor cannot be Operations, so Adriana → Marketing minor. —--, Institute, Student, Major, Minor, X, Amit, Finance, Operations or Marketing, X, Chetan, Finance, Marketing or Operations, X, Daisy, Marketing, Operations, Y, Barun, Operations, Finance, Y, Deb, Marketing, Finance, Y, Adriana, Operations, Marketing, Z, Bandita, Finance or Operations, Marketing, Z, Chitra, Operations or Finance, We know: - Chetan majors in Finance. - Two male students major in Finance. - Barun majors in Operations. - Deb majors in Marketing. Therefore, the two male Finance majors must be Chetan, and Amit. So: - Amit → Finance major. - Chetan → Finance major. Daisy minors in Operations. Since her major and minor must be different, Daisy cannot major in Operations. Therefore, Daisy → Marketing major, Operations minor. —--, Institute, Student, Major, Minor, X, Amit, Finance, Operations or Marketing, X, Chetan, Finance, Marketing or Operations, X, Daisy, Marketing, Operations, Y, Barun, Operations, Finance, Y, Deb, Marketing, Finance, Y, Adriana, Operations, Marketing, Z, Bandita, Finance or Operations, Marketing, Z, Chitra, Operations or Finance, At Z, the remaining students are Bandita and Chitra. We already have: - One female Finance major. - Three female students minor in Marketing. Adriana is already one female who minors in Marketing. Therefore, one of Bandita or Chitra must also minor in Marketing. The source solution leaves the exact assignment between Bandita and Chitra unresolved: - Bandita → Finance or Operations major, Marketing minor. - Chitra → the other major, with the corresponding remaining minor. —-- Final Arrangement, Institute, Student, Major, Minor, X, Amit, Finance, Operations or Marketing, X, Chetan, Finance, Marketing or Operations, X, Daisy, Marketing, Operations, Y, Barun, Operations, Finance, Y, Deb, Marketing, Finance, Y, Adriana, Operations, Marketing, Z, Bandita, Finance or Operations, Marketing, Z, Chitra, Operations or Finance, Remaining subject, From the final solution table, Amit majors in Finance.

Logical Reasoning

Arrangements

Hard

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 $X, Y,$ and $Z$ . 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:

Three students are from $X$ , three are from $Y$ , and the remaining two students, both female, are from $Z$ .
Both the male students from $Y$ minor in Finance, while the female student from $Y$ majors in Operations.
Only one male student majors in Operations, while three female students minor in Marketing.
One female and two male students major in Finance.
Adriana and Deb are from the same institute. Daisy and Amit are from the same institute.
Barun is from $Y$ and majors in Operations. Chetan is from $X$ and majors in Finance.
Daisy minors in Operations.

Which subject does Amit major in?

Marketing

Operations

Cannot be determined uniquely from the given information

Finance

✅ Correct Option: 4

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Understanding the Set

This is a logic-based arrangement set involving:

8 students: 4 female and 4 male
3 institutes: X, Y, and Z
3 subjects: Marketing, Operations, and Finance
Each student has one major and a different minor.

The main task is to determine:

Which institute each student belongs to.
Their major and minor subjects.

A useful approach is to first determine the institute-wise grouping using the gender and institute clues. Once the institutes are fixed, use the major/minor conditions to fill the subject information.

Institute	Students
X	Amit, Chetan, Daisy
Y	Barun, Deb, Adriana
Z	Bandita, Chitra

We know:

Barun is from Y.
Chetan is from X.
Y has 3 students, including two males and one female.
Z has exactly two students, and both are female.

Therefore, the two female students in Z must be Bandita and Chitra.

This leaves Adriana and Daisy as the female students in X and Y.

Now use the same-institute clues:

Adriana and Deb are from the same institute.
Daisy and Amit are from the same institute.

The arrangement that satisfies all the institute conditions is:

Y → Barun, Deb, Adriana
X → Amit, Chetan, Daisy
Z → Bandita, Chitra

Institute	Student	Major	Minor
X	Amit
X	Chetan	Finance
X	Daisy		Operations
Y	Barun	Operations	Finance
Y	Deb	Marketing	Finance
Y	Adriana	Operations	Marketing
Z	Bandita
Z	Chitra

Barun is explicitly given as Major = Operations

Both male students from Y minor in Finance.

Therefore: Barun → Operations major, Finance minor.

Deb → Finance minor.

Since a student must major and minor in different subjects, Deb cannot major in Finance.

Also, only one male student majors in Operations, and Barun is already that student.

Therefore: Deb → Marketing major.

The female student from Y majors in Operations.

Since Adriana is the female student in Y: Adriana → Operations major.

Her minor cannot be Operations, so Adriana → Marketing minor.

Institute	Student	Major	Minor
X	Amit	Finance	Operations or Marketing
X	Chetan	Finance	Marketing or Operations
X	Daisy	Marketing	Operations
Y	Barun	Operations	Finance
Y	Deb	Marketing	Finance
Y	Adriana	Operations	Marketing
Z	Bandita	Finance or Operations	Marketing
Z	Chitra	Operations or Finance

We know:

Chetan majors in Finance.
Two male students major in Finance.
Barun majors in Operations.
Deb majors in Marketing.

Therefore, the two male Finance majors must be Chetan, and Amit.

So:

Amit → Finance major.
Chetan → Finance major.

Daisy minors in Operations.

Since her major and minor must be different, Daisy cannot major in Operations.

Therefore, Daisy → Marketing major, Operations minor.

Institute	Student	Major	Minor
X	Amit	Finance	Operations or Marketing
X	Chetan	Finance	Marketing or Operations
X	Daisy	Marketing	Operations
Y	Barun	Operations	Finance
Y	Deb	Marketing	Finance
Y	Adriana	Operations	Marketing
Z	Bandita	Finance or Operations	Marketing
Z	Chitra	Operations or Finance

At Z, the remaining students are Bandita and Chitra.

We already have:

One female Finance major.
Three female students minor in Marketing.

Adriana is already one female who minors in Marketing.

Therefore, one of Bandita or Chitra must also minor in Marketing.

The source solution leaves the exact assignment between Bandita and Chitra unresolved:

Bandita → Finance or Operations major, Marketing minor.
Chitra → the other major, with the corresponding remaining minor.

Final Arrangement

Institute	Student	Major	Minor
X	Amit	Finance	Operations or Marketing
X	Chetan	Finance	Marketing or Operations
X	Daisy	Marketing	Operations
Y	Barun	Operations	Finance
Y	Deb	Marketing	Finance
Y	Adriana	Operations	Marketing
Z	Bandita	Finance or Operations	Marketing
Z	Chitra	Operations or Finance	Remaining subject

From the final solution table, Amit majors in Finance.

Question 1

Who are the students from the institute $Z$ ?

Question 2

Which subject does Deb minor in?

Question 4

If Chitra majors in Finance, which subject does Bandita major in?

Which subject does Amit major in?

Solution

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