UPSC CSAT 2018 · Logic & Reasoning: A, B, C and D are students. They are studying in four different cities, viz…
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
- ARajasthan
- BGujarat
- Ccity Q
- DKerala
Show hint
Create a matrix with columns for Student, City, State, and College. Fill in the definite facts first (e.g., D is in Assam). Use elimination to find where A studies.
Show answer
Answer: (B) Gujarat
Given facts:
- D → Assam
- Arts college → City S → Rajasthan
- A → Commerce college
- B → City Q
- Science college → Kerala
A is in Commerce (not Arts, not Science).
Remaining states for Commerce: Gujarat or Assam.
D is already in Assam, so A can't be in Assam.
Therefore: A → Commerce → Gujarat.
Answer: Gujarat
Science college is located in
- Acity Q
- Bcity S
- Ccity R
- Dcity P
Show hint
Match the City to the State. You know Science College is in Kerala. Which student is in Kerala, and which City are they associated with?
Show answer
Answer: (A) city Q
Step 1: From the master arrangement (see Q43):
- Commerce → Gujarat (A)
- Arts → Rajasthan → City S (C)
- Engineering → Assam (D)
- Science → Kerala (B)
Step 2: B is in City Q (given).
B is in Kerala (only state left for B).
Since each city maps to one state, City Q = Kerala.
Science college is in Kerala = City Q.
Answer: City Q
[NOTE: The originally published answer key indicated option (d) City P. However, logical deduction proves City Q is in Kerala where Science college is located. This is a known error in the source.]
C is studying in
- AScience college
- BRajasthan
- CGujarat
- Dcity Q
Show hint
Deduce C's location by elimination. We know A, B, and D's locations/colleges. What is the only remaining option for C?
Show answer
Answer: (B) Rajasthan
Step 1: From the master arrangement:
- A → Commerce (Gujarat)
- D → Engineering (Assam)
- B → Science (Kerala, City Q)
Step 2: By elimination, C gets the remaining college and state:
C → Arts college → Rajasthan → City S.
Answer: Rajasthan
[NOTE: The originally published answer key indicated option (a) Science college. However, B is already assigned Science college (Kerala), and Arts college in Rajasthan is explicitly linked to City S. C must be in Arts college, Rajasthan. This is a known error in the source.]
Which one of the following statements is correct?
- AD is not studying in city S.
- BA is studying in Science college.
- CA is studying in Kerala.
- DEngineering college is located in Gujarat.
Show hint
Check the known facts directly. If D is in Assam and City S is in Rajasthan, can they be together?
Show answer
Answer: (A) D is not studying in city S.
Check each statement:
(a) D is not in City S → TRUE. D is in Assam; City S is in Rajasthan. ✓
(b) A is in Science college → FALSE. A is in Commerce. ✗
(c) A is in Kerala → FALSE. A is in Gujarat. ✗
(d) Engineering college is in Gujarat → FALSE. Gujarat has Commerce (A's college). ✗
Answer: (a)
Which one of the following statements is correct regarding Engineering college?
- AC is studying there.
- BB is studying there.
- CIt is located in Gujarat.
- DD is studying there.
Show hint
Determine the state where the Engineering College is located by eliminating the states for Arts, Commerce, and Science. Then check which student is in that state.
Show answer
Answer: (D) D is studying there.
Colleges assigned:
Commerce → Gujarat,
Arts → Rajasthan,
Science → Kerala.
By elimination:
Engineering → Assam.
D is in Assam → D studies in Engineering.
(a) C studies there → No (C is in Arts/Rajasthan). ✗
(b) B studies there → No (B is in Science/Kerala). ✗
(c) Located in Gujarat → No (it's in Assam). ✗
(d) D studies there → Yes. ✓
Answer: (d)
Which one of the following statements is correct?
- AEngineering college is located in Assam.
- BCity Q is situated in Assam.
- CC is studying in Kerala.
- DB is studying in Gujarat.
Show hint
Use your completed matrix of Student/City/State/College to verify each statement. Remember that each state hosts only one student.
Show answer
Answer: (A) Engineering college is located in Assam.
Step 1: Check each statement against the arrangement:
LEFT side: A (Gujarat), D (Assam) | RIGHT side: B (Kerala, City Q), C (Rajasthan, City S)
Colleges:
- A=Commerce
- B=Science
- C=Arts
- D=Engineering
(a) Engineering college is in Assam → TRUE ✓
(D is in Engineering, D is in Assam)
(b) City Q is in Assam → FALSE
(City Q is in Kerala, where B studies)
(c) C is studying in Kerala → FALSE
(C is in Rajasthan)
(d) B is studying in Gujarat → FALSE
(B is in Kerala)
Answer: Engineering college is located in Assam.
[NOTE: The originally published answer key indicated option (c). However, C is in Rajasthan (Arts college), not Kerala. This is a known error in the source, consistent with errors in Q44 and Q45.]