A, B, C and D are students. They are studying in four different cities, viz. P, Q, R and S (not necessarily in that order). They are studying in Science college, Arts college, Commerce college and Engineering college (not necessarily in that order), which are situated in four different States, viz. Gujarat, Rajasthan, Assam and Kerala (not necessarily in that order). Further, it is given that—
(i) D is studying in Assam
(ii) Arts college is located in city S which is in Rajasthan
(iii) A is studying in Commerce college
(iv) B is studying in city Q
(v) Science college is located in Kerala

Which one of the following statements is correct regarding Engineering college?

The correct option/answer is: D is studying there.

Let's analyze the given information step-by-step to determine the college, city, and state for each student: A, B, C, and D.

First, we list our variables:
- Students: A, B, C, D
- Cities: P, Q, R, S
- Colleges: Science, Arts, Commerce, Engineering
- States: Gujarat, Rajasthan, Assam, Kerala

Let's process each clue:
1. Clue (i): D is studying in Assam.
- Student D matches with State Assam.
2. Clue (ii): Arts college is located in city S which is in Rajasthan.
- College Arts matches with City S and State Rajasthan.
3. Clue (iii): A is studying in Commerce college.
- Student A matches with College Commerce.
4. Clue (iv): B is studying in city Q.
- Student B matches with City Q.
5. Clue (v): Science college is located in Kerala.
- College Science matches with State Kerala.

Now, let's map the states to the colleges:
- The states are Gujarat, Rajasthan, Assam, and Kerala.
- From Clue (ii), Rajasthan has the Arts college.
- From Clue (v), Kerala has the Science college.
- This leaves the States Assam and Gujarat for the remaining colleges, which are Commerce and Engineering.
- From Clue (iii), Student A is in the Commerce college. From Clue (i), Student D is studying in Assam. Since D is in Assam, D cannot be at the Arts college (Rajasthan) or Science college (Kerala). Let's see which college is in Assam.
- Student A is in Commerce college. Since A is in Commerce college and D is in Assam, can D be in the Commerce college? If D were in Commerce, A and D would both be in Commerce, which is not possible as they study in four different colleges. Therefore, Student A must be in the Commerce college, and Student D must be in the other remaining college, which is the Engineering college. Hence, the Engineering college is located in Assam.
- Thus, Student D is studying in the Engineering college.

Let's double-check the allocations for consistency:
- Student D: Engineering college, Assam.
- Student A: Commerce college. Since Rajasthan has Arts and Kerala has Science, and Assam has Engineering, Student A's Commerce college must be located in Gujarat.
- Remaining Colleges: Arts (Rajasthan) and Science (Kerala).
- Remaining Students: B and C.
- From Clue (iv), B is in City Q. From Clue (ii), Arts college is in City S. So B cannot be in Arts college because B is in City Q. Therefore, B must be in Science college (Kerala, City Q), and the remaining student C must be in Arts college (S, Rajasthan).
- Finally, the complete mapping is:
- Student A: Commerce college, Gujarat (City P or R)
- Student B: Science college, Kerala, City Q
- Student C: Arts college, Rajasthan, City S
- Student D: Engineering college, Assam (City R or P)

From the above mapping, we clearly see that Student D is studying in the Engineering college, confirming that the statement "D is studying there" is correct.