**Passage.** Seven persons — A, B, C, D, E, F and G — live across four cities (Indore: 2, Ujjain: 2, Bhopal: 2, Gwalior: 1), study one of five subjects (Science: 2 students, Maths: 2, Physics: 1, Chemistry: 1, Statistics: 1) and bank with six different banks. Times Bank has two customers — one Maths student and one Chemistry student. The other banks (HongKong Bank, ANZ Grindlays, SBI, Canara Bank, Bank of Baroda) have one customer each. 1. Residents of Indore and Ujjain do **not** use SBI, Canara Bank or Bank of Baroda. 2. The Science and Maths students stay in Ujjain or Bhopal. 3. D banks with SBI; F banks with HongKong Bank. 4. C lives in Gwalior, studies Physics and banks with Canara Bank. 5. B and E live in Ujjain; B banks with ANZ Grindlays. 6. D studies Maths and G studies Science. **Question.** The bank in which no Science student has an account is
ACanara
BANZ Grindlays
CBank of Baroda
DCannot be determined
Answer & Solution
Correct answer: A. Canara
**Pinning down cities.**
From (1): D (SBI) can't live in Indore or Ujjain → D is in Bhopal or Gwalior. C is in Gwalior, so **D = Bhopal**.
From (2): G studies Science → G must live in Ujjain or Bhopal. Ujjain seats are taken by B and E → **G = Bhopal**.
The two Indore seats then go to the remaining names, **A and F = Indore**.
**Pinning down subjects.**
Maths has two students; D is one. From (2), the other Maths student lives in Ujjain → one of {B, E}. Similarly Science has two students; G is one, so the other Science student is in Ujjain. So {B, E} = {Maths, Science}.
Times Bank takes one Maths + one Chemistry. D (Maths) banks with SBI, so the *other* Maths student banks with Times. Of B and E, B is in ANZ Grindlays → **E = Maths / Times Bank**, **B = Science**.
The Chemistry student in Times Bank must come from Indore (because Bhopal+Gwalior people aren't restricted but A and F are the only ones left for Chemistry/Statistics). F banks with HongKong, so **A = Chemistry / Times Bank**, **F = Statistics / HongKong**.
G is left with **Bank of Baroda** (the only remaining bank that Bhopal residents can use).
| Person | City | Subject | Bank |
|---|---|---|---|
| A | Indore | Chemistry | Times Bank |
| B | Ujjain | Science | ANZ Grindlays |
| C | Gwalior | Physics | Canara Bank |
| D | Bhopal | Maths | SBI |
| E | Ujjain | Maths | Times Bank |
| F | Indore | Statistics | HongKong Bank |
| G | Bhopal | Science | Bank of Baroda |
**Answer:** A — Science students are B (ANZ) and G (BoB). Canara is C, who studies Physics.
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