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 C is studying in

Here's a step-by-step deduction: 1. From (iii) A is studying in Commerce college. 2. From (iv) B is studying in city Q. 3. From (i) D is studying in Assam. 4. From (ii) Arts college is located in city S which is in Rajasthan. 5. From (v) Science college is located in Kerala. Now let's combine these facts: * D is in Assam. Arts college is in Rajasthan. Science college is in Kerala. This means D cannot be in Arts or Science college. * Since A is in Commerce college, D cannot be in Commerce college either. * Therefore, D must be in Engineering college, which is located in Assam. (D: Engineering, Assam) * B is in city Q. Arts college is in city S. This means B cannot be in Arts college. * Since A is in Commerce and D is in Engineering, B must be in Science college. * From (v), Science college is in Kerala. So, B is in Science college, in city Q, in Kerala. (B: Science, City Q, Kerala) * We have A in Commerce, B in Science, and D in Engineering. The only remaining college is Arts. * Therefore, C must be studying in Arts college. * From (ii), Arts college is located in city S which is in Rajasthan. * So, C is studying in Arts college, in city S, in Rajasthan. Let's check the options for "C is studying in": A) Science college: Incorrect, B is in Science college. B) Rajasthan: Correct, C is studying in Rajasthan. C) Gujarat: Incorrect, Gujarat is the remaining state for A's college. D) city Q: Incorrect, B is in city Q. The final answer is B.