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

Question: A is studying in

The correct option/answer is Gujarat.

Let us analyze the given information step-by-step to determine where student A is studying.

We have four students (A, B, C, D), four cities (P, Q, R, S), four colleges (Science, Arts, Commerce, Engineering), and four states (Gujarat, Rajasthan, Assam, Kerala).

Let's map the clues provided:
1. From clue (i), D is studying in Assam.
2. From clue (ii), the Arts college is in city S, which is in Rajasthan.
3. From clue (v), the Science college is in Kerala.
4. Since Rajasthan has the Arts college and Kerala has the Science college, and D is studying in Assam, D cannot be in the Arts or Science college. Thus, D must be in either the Commerce or Engineering college. Since A is studying in the Commerce college (from clue iii), D must be studying in the Engineering college. Therefore, the Engineering college is located in Assam (where D studies).
5. We now know the state-college mappings for three states:
- Rajasthan: Arts college
- Kerala: Science college
- Assam: Engineering college
This leaves only one state and one college remaining: Gujarat must have the Commerce college.
6. Since clue (iii) states that A is studying in the Commerce college, and we established that the Commerce college is located in Gujarat, it follows directly that student A is studying in Gujarat.