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 A is studying in

Here's a brief, clear explanation:

1. We are given the following fixed pairs:

   • Arts college is in City S, Rajasthan.
   • Science college is in Kerala.

2. This leaves Commerce and Engineering colleges to be in the remaining two states: Gujarat and Assam.

3. We are told D is studying in Assam, and A is studying in Commerce college.

4. Let's consider two possibilities for the Commerce college's location:

   • Possibility 1: Commerce college is in Assam. If Commerce college is in Assam, then A is studying in Assam. Since D is also studying in Assam, D must be in the other college in Assam (Engineering college). However, if Commerce is in Assam, then Engineering college must be in Gujarat. This leads to a contradiction: D is in Assam but studying in a college located in Gujarat. Therefore, this possibility is incorrect.
   • Possibility 2: Commerce college is in Gujarat. If Commerce college is in Gujarat, then A is studying in Gujarat. This is consistent. In this case, Engineering college must be in Assam. Since D is studying in Assam, D would be in Engineering college. This scenario is consistent with all given information.

5. Based on the elimination of Possibility 1, Commerce college must be in Gujarat. Since A is studying in Commerce college, A is studying in Gujarat.

The final answer is B) Gujarat.