Correct Answer - Option 1 : Engineering college is located in Assam.
According to the question,
4 students : A, B, C and D
4 cities : P, Q, R and S
4 colleges : Science, Arts, Commerce, Engineering
4 states : Gujarat, Rajasthan, Assam, Kerala
i) D is studying in Assam
Student
|
City
|
College
|
State
|
A
|
|
|
|
B
|
|
|
|
C
|
|
|
|
D
|
|
|
Assam
|
(ii) Arts college is located in city S which is in Rajasthan.
(iii) A is studying in Commerce college
Student
|
City
|
College
|
State
|
A
|
|
Commerce
|
|
B
|
|
|
|
C
|
|
|
|
D
|
|
|
Assam
|
(iv) B is studying in city Q
Student
|
City
|
College
|
State
|
A
|
|
Commerce
|
|
B
|
Q
|
|
|
C
|
|
|
|
D
|
|
|
Assam
|
(v) Science college is located in Kerala.
According to the question, Arts college is in city S which is in Rajasthan. There is only one possibility in the above table for this condition. Therefore,
Student
|
City
|
College
|
State
|
A
|
|
Commerce
|
|
B
|
Q
|
|
|
C
|
S
|
Arts
|
Rajasthan
|
D
|
|
|
Assam
|
Also, Science college is located in Kerala. There is only one possibility in the above table for this condition. Therefore,
Student
|
City
|
College
|
State
|
A
|
|
Commerce
|
|
B
|
Q
|
Science
|
Kerala
|
C
|
S
|
Arts
|
Rajasthan
|
D
|
|
|
Assam
|
The final arrangement is :
Student
|
City
|
College
|
State
|
A
|
P/R
|
Commerce
|
Gujarat
|
B
|
Q
|
Science
|
Kerala
|
C
|
S
|
Arts
|
Rajasthan
|
D
|
P/R
|
Engineering
|
Assam
|
Hence, option 1 is the correct answer.