If E sits in his office and faces the corridor, whose office is to his left?
- (a) A
- (b) B
- (c) C ✓ UPSC's answer
- (d) D
Why the answer is (c)
• The office block has two sides of a corridor: Left (L) and Right (R). A is on the Left side.
• B and C are on the Right side. C and D face each other, so D must be on the Left side (opposite C).
• E and F are on opposite sides and do not face each other. Since A and D are on the Left, and B and C are on the Right, the remaining positions must accommodate E and F.
• F is further down the corridor than A but on the same side (Left). So, Left side order: A, D, F (or A, F, D, but F is further down than A). Since C and D face each other, D is opposite C. B and C are on the Right. E is not in a corner. E and F are on opposite sides. If F is on Left, E is on Right. If E is on Right, he is opposite either B or C. But E and F do not face each other. F is on Left. So E is on Right. E is not a corner. The Right side has B and C. The Left side has A, D, F. Since C and D face each other, D is opposite C. B is on the Right. E is on the Right. The Right side has three offices? No, usually these problems imply a standard layout. Let's deduce positions. Left: A, D, F. Right: B, C, E. C faces D. So C and D are in the same row. B and E are in other rows. F is further down than A. E is not a corner. If E is in the middle row on the Right, he faces D? No, C faces D. So E is in a row where the opposite is A or F. E and F do not face each other. So E is not opposite F. Therefore, E is opposite A. So E is in the same row as A. Since E is on the Right and A is on the Left, they face each other. But the condition says E and F do not face each other. It doesn't say E doesn't face A. Wait, 'E and F occupy offices on opposite sides... but their offices do not face each other'. This implies they are in different rows. If E is opposite A, and F is on the Left, F is not opposite E. This fits. So Row 1: A (Left) - E (Right). Row 2: D (Left) - C (Right). Row 3: F (Left) - B (Right) (or similar). F is further down than A. So A is Row 1, F is Row 3. D is Row 2. C is Row 2. B is Row 3. E is Row 1. E is not a corner? If there are 3 rows, Row 1 and 3 are corners. E is in Row 1. This contradicts 'E does not have a corner office'. Let's re-evaluate. Maybe there are 4 rows? Or the 'corner' definition is different. Let's look at the standard solution for this specific UPSC question. Standard layout: Left: A, D, F. Right: E, C, B. C faces D. So C and D are in the same row. E and F are on opposite sides and don't face each other. F is further down than A. If Left is A, D, F (top to bottom), then F is bottom. A is top. D is middle. Right side: C is opposite D (middle). So C is middle. Remaining Right spots: Top and Bottom. E and B occupy these. E is not a corner. If Top and Bottom are corners, E cannot be Top or Bottom. This implies there must be a middle spot for E? But C is middle. Contradiction. Let's reconsider the 'corner' constraint. Perhaps the layout is 2x3? No, 'further down' implies length. Let's assume the standard interpretation where 'corner' refers to the ends of the corridor. If E is not a corner, E must be in the middle. But C is in the middle (opposite D). So E cannot be in the middle. This suggests my row assignment is wrong. Let's try: Left: A, F, D? F is further down than A. So A is top, F is middle/bottom. C faces D. If D is bottom, C is bottom. If D is middle, C is middle. If D is top, C is top. E is not a corner. So E is middle. If E is middle (Right), then the Left middle is opposite E. E and F do not face each other. So F is not Left middle. F is on Left. So F is Top or Bottom. F is further down than A. So A is Top, F is Bottom. Then Left Middle is D? If Left Middle is D, then Right Middle is C (since C faces D). But we said E is Right Middle. Contradiction. So D is not Left Middle. If D is Left Bottom, C is Right Bottom. Then Right Middle is E. Left Middle is F? No, F is further down than A. If A is Top, F is Bottom? Then Left Bottom is F. But D is Left Bottom. Contradiction. If A is Top, F is Middle? 'Further down' usually means lower in the list. If A is 1, F is 2 or 3. If F is 2 (Middle), then Left Middle is F. Then Right Middle is opposite F. E and F do not face each other. So E is not Right Middle. So E is Top or Bottom. But E is not a corner. So E cannot be Top or Bottom. This implies there are more than 3 rows? Or 'corner' means something else? Actually, in many such problems, if there are 3 offices per side, the middle one is not a corner. If E is not a corner, E is Middle. If E is Middle (Right), then Left Middle is opposite E. E and F do not face each other, so F is not Left Middle. F is on Left. So F is Top or Bottom. F is further down than A. So A is Top, F is Bottom. Then Left Middle is D? If Left Middle is D, then Right Middle is C (C faces D). But E is Right Middle. Contradiction. So D is not Left Middle. If D is Left Top, C is Right Top. Then Right Middle is E. Left Middle is F? No, F is Bottom. So Left Middle is empty? No, 6 officers. Left: A, D, F. Right: B, C, E. If A is Top, F is Bottom. D is Middle. Then C is Middle (opposite D). So Right Middle is C. Then E is Top or Bottom. But E is not a corner. Contradiction. Is it possible A is not Top? 'F's office is further down the corridor than A's'. This implies A is higher up. If there are 3 rows, A is Row 1, F is Row 2 or 3. If F is Row 2, A is Row 1. Then Left Row 2 is F. Right Row 2 is opposite F. E and F do not face each other, so E is not Right Row 2. So E is Row 1 or 3. E is not a corner. So E cannot be Row 1 or 3. Contradiction. Therefore, there must be 4 rows? Or the 'corner' logic is different. Let's look at the official answer C. If the answer is C, then C is to E's left. If E faces the corridor, his left is the direction 'up' or 'down' the corridor? Usually, if you face the corridor, your left is one end of the corridor. If E is on the Right side, facing the corridor (Left), his left hand points to the 'Top' of the corridor (assuming standard map orientation where Top is North/Up). So the office to E's left is the office in the row above E on the Right side. If the answer is C, then C is in the row above E. So E is below C. C is on the Right. So Right side order: C, E, ...? Or ..., C, E. If C is above E, and E is not a corner, E is Middle? If E is Middle, C is Top. Then Right Top is C. Right Middle is E. Right Bottom is B. Left side: C faces D, so Left Top is D. A and F are on Left. F is further down than A. So A is Middle, F is Bottom? Or A is Top? But Left Top is D. So A is Middle or Bottom. F is further down than A. If A is Middle, F is Bottom. Then Left Middle is A, Left Bottom is F. Check: E (Right Middle) and F (Left Bottom) do not face each other. Correct. E is not a corner (Middle). Correct. F is further down than A (Bottom vs Middle). Correct. A is on Left. Correct. B and C on Right. Correct. C and D face each other (Top). Correct. So the layout is: Row 1 (Top): D (Left) - C (Right). Row 2 (Middle): A (Left) - E (Right). Row 3 (Bottom): F (Left) - B (Right). E is in Row 2, Right side. E faces the corridor (faces Left). His left hand points to Row 1 (Top). The office in Row 1, Right side is C. So C is to E's left.
Why the other options are wrong
- (a) A
- A is on the opposite side of the corridor from E, so it is not to E's left when E faces the corridor.
- (b) B
- B is in the row below E (Row 3), so it is to E's right, not left.
- (d) D
- D is on the opposite side of the corridor from E, so it is not to E's left when E faces the corridor.
Asked in the CSAT Paper II of the UPSC Civil Services Preliminary Examination 2018, held on 3 June 2018. Question and answer key: Union Public Service Commission. Explanation: UPSC Answer Check.