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​A, B, C and D are students. They are studying in four different cities, viz., P, Q, R and .f 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.
Q. Which one of the following statements is correct?
  • a)
    Engineering college is located in Assam.
  • b)
    City Q is situated in Assam.
  • c)
    C is studying in Kerala.
  • d)
    B is studying in Gujarat.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A, B, C and D are students. They are studying in four different cities...
Given Information:

Students: A, B, C, D

Cities: P, Q, R, S

Colleges: Science, Arts, Commerce, Engineering

States: Gujarat, Rajasthan, Assam, Kerala

Clues:

- D is studying in Assam
- Arts college is located in city S which is in Rajasthan
- A is studying in Commerce college
- B is studying in city Q
- Science college is located in Kerala

Solution:

From the given information and clues, we can create a table to represent the possible combinations of students, cities, colleges, and states as follows:

| Student | City | College | State |
| ------- | ---- | ---------- | ----------|
| A | ? | Commerce | ? |
| B | Q | ? | ? |
| C | ? | ? | Kerala |
| D | ? | ? | Assam |

We can fill in the known information in the table as follows:

| Student | City | College | State |
| ------- | ---- | ---------- | ----------|
| A | ? | Commerce | ? |
| B | Q | ? | ? |
| C | ? | ? | Kerala |
| D | ? | ? | Assam |

- D is studying in Assam, so we can fill in the state for D as Assam.
- Arts college is located in city S which is in Rajasthan, so we can fill in the city for Arts college as S and the state for S as Rajasthan.
- A is studying in Commerce college, so we can fill in the college for A as Commerce.
- B is studying in city Q, so we can fill in the city for B as Q.

| Student | City | College | State |
| ------- | ---- | ---------- | ----------|
| A | ? | Commerce | ? |
| B | Q | ? | ? |
| C | ? | ? | Kerala |
| D | ? | ? | Assam |
| | S | Arts | Rajasthan |

Now, we can see that the Science college must be located in Gujarat because all other states are already assigned to a student or college. Therefore, the Engineering college must be located in Assam as it is the only state left.

| Student | City | College | State |
| ------- | ---- | ---------- | ----------|
| A | ? | Commerce | ? |
| B | Q | ? | ? |
| C | ? | ? | Kerala |
| D | ? | ? | Assam |
| | S | Arts | Rajasthan |
| | | Science | Gujarat |
| | | Engineering| Assam |

Therefore, option 'A' is correct, which states that the Engineering college is located in Assam.
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A, B, C and D are students. They are studying in four different cities, viz., P, Q, R and .f 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 thati. D is studying in Assamii. Arts college is located in city S which is in Rajasthaniii. A is studying in Commerce collegeiv. B is studying in city Q v. Science college is located in Kerala.Q. Which one of the following statements is correct?a)Engineering college is located in Assam.b)City Q is situated in Assam.c)C is studying in Kerala.d)B is studying in Gujarat.Correct answer is option 'A'. Can you explain this answer?
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