Question

Who are the students from the institute Z?

• A. Adriana and Bandita
• B. Adriana and Daisy
• C. Bandita and Chitra
• D. Chitra and Daisy
• A. Cannot be determined uniquely from the given information
• B. Marketing
• C. Operations
• D. Finance
• A. Operations
• B. Marketing
• C. Cannot be determined uniquely from the given information
• D. Finance
• A. Cannot be determined uniquely from the given information
• B. Marketing
• C. Finance
• D. Operations

Answer 1

The Correct Option is C

To solve this problem and identify the students from institute Z, we need to analyze the given conditions:

1. Institutes and Initial Assignments: There are eight students distributed among institutes X, Y, and Z. As per condition 1, there are 3 students each from X and Y, and 2 from Z. The students from Z are both female. 
2. Institute Y Details: From condition 2, Barun is one male student from Y and majors in Operations. The remaining male from Y, minor in Finance, belongs to Barun. Thus, another male student from Y minors in Finance, so the females and the two males at Y are: Barun, another male student, and a female student who majors in Operations.
3. Institutes X and Z: Considering condition 6, Chetan is from X and majors in Finance. Condition 5 states Adriana and Deb are from the same institute and Daisy and Amit are from the same institute.
4. Finding Patterns: Condition 3: There is one male student majoring in Operations (which is Barun from Y), and three females who minor in Marketing. Therefore, Daisy cannot minor in Marketing as she minors in Operations (condition 7).
5. Assignments of Students in Y: Based on above points, Barun is from Y (majors in Operations). We need two males in Y. Communications points that another male is Deb. Daisy, which should be in the same institute with Amit is not from Y, so the female student at Y can be Bandita.
6. Finding Students from Z: Now, since Adriana has to be with Deb and Daisy with Amit, both are not in Z. With Bandita in Y, and condition 3 affecting Chitra, meaning Chitra minors in Marketing and point 3: the only female left for Z must be Bandita or Chitra.
7. Conclusion: Using elimination recognizing previously processed equations of female as Chitra:

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

The students from institute Z are Bandita and Chitra.

Answer 2

To determine the subject Deb minors in, let's analyze the provided conditions step by step:

There are 8 students: four female (Adriana, Bandita, Chitra, and Daisy) and four male (Amit, Barun, Chetan, and Deb). Each studies at X, Y, or Z and has a major and a minor among Marketing, Operations, or Finance. 

From Fact 1: 3 students are from X, 3 from Y, and 2 (female) from Z.

From Fact 2, the male students from Y minor in Finance, and the female from Y majors in Operations. Given Barun is from Y (Fact 6), he minors in Finance and majors in Operations.

From Fact 3, only one male majors in Operations (Barun, confirmed), and 3 females minor in Marketing.

From Fact 4, 1 female and 2 males major in Finance. Chetan majors in Finance (Fact 6), being one male. The other male in Finance could be either Amit or Deb.

From Fact 5, Adriana and Deb are at the same institute, and Daisy and Amit are at the same institute.

Considering Daisy and Amit are from the same institute and we know Daisy is female, they must be at X or Z. Since X has Chetan already, Daisy and Amit are both from X, leaving Adriana and Deb to be from Y.

Joining Daisy and Amit at X, Chetan (since two females are at Z), leaves Adriana and Deb at Y. Hence, Deb minors in Finance (Fact 2 for males at Y), confirming Chetan's and Barun's majors.

From the above deductions, Deb minors in Finance.

Answer 3

Amit, along with Daisy, is from the same institute. Based on the available facts, we will analyze step by step:

1. The institutes and genders distribution among students are as follows:
   
   • 3 from X: 1 male (Chetan), 2 unidentified 
   • 3 from Y: 2 males (Barun, unidentified), 1 female (unidentified)
   • 2 from Z: 2 females (Adriana, Daisy)
2. Barun majors in Operations. Therefore, Amit cannot major in Operations because only one male studies Operations.
3. Daisy minors in Operations implying her major is not Operations. Thus, Daisy must major either in Marketing or Finance.
4. Chetan, the male student from X, majors in Finance. Daisy can't major in Finance as well, which implies Amit must major in Finance if Daisy majors in Marketing.
5. Barun and the other male student from Y minor in Finance, so Amit can major in Finance.

Conclusion: Based on all facts and elimination, Amit must major in Finance.

Answer 4

To determine Bandita's major if Chitra majors in Finance, let's process the given information logically: 

1. We know two conditions about financing: (a) One female and two male students major in Finance, (b) Chetan majors in Finance [from 6], so Chitra majors in Finance fulfills the female's condition.

2. For Operations, (a) Only one male student majors in Operations [from 3], (b) Barun majors in Operations [from 6]. Therefore, no other male can major in Operations.

3. Daisy minors in Operations [from 7], meaning she cannot major in Operations.

4. Both male students from Y minor in Finance, indicating they do not major in Finance [from 2].

5. Since three female students minor in Marketing [from 3], and Daisy minors in Operations, Chitra being one of them cannot minor in Marketing. Thus, Chitra would minor in Operations or Finance, confirming that in the alternative, she covers for Finances.

Given this setup, if Chitra majors in Finance, Bandita must then major in Operations to fill the remaining possible position as per structuring of requirements and capacity.

Conclusion: Bandita majors in Operations.