Direction : Read the given information carefully and answer the questions…

2021

Direction : Read the given information carefully and answer the questions given below:

Sixteen persons i.e. A, B, C, E, N, O, P, Q, R, S, T, U, V, W, X and Y live in two different flats i.e., Flat 1 and Flat 2 of a four-floor building such that the lowermost floor is numbered as 1 and the floor just above it is 2 and so on till the topmost floor is numbered as 4. Flat1 is to the west of flat 2 whereas flat 1 of floor 2 is immediately above flat 1 of floor 1 and flat 2 of floor 2 is immediately above flat 2 of floor 1. There are eight married couples and each married couple live together on the same floor in the same flat. Name of the person starts with vowel are female and live on an even numbered floor. All the information is not necessarily in the same order.
A lives just above P’s spouse flat. A’s spouse lives in an odd numbered flat. O and Q live on the same floor. T lives to north east of U and he lives below E. Q doesn’t live in the same flat as E. B who lives on an even numbered floor lives two floors above N. S lives to the south west of B but she doesn’t live below N. R lives to the north of X. R is not married to A. Spouse of X lives to the east of Y. C is spouse of neither Y nor X. V and U lives in the same flat and both have same gender. W’s gender is same as Q’s gender.

Four of the following five are alike in a certain way and thus form a group. Which among the following does not belong to the group?

  1. A.

    V-Y

  2. B.

    W-X

  3. C.

    B-E

  4. D.

    P-S

  5. E.

    A-B

Show answer & explanation

Correct answer: E

Concept: In a floor-and-flat 'couples' puzzle, every floor-flat cell houses exactly one married couple. So two names 'go together' precisely when the clue chain forces them into the same cell. A 'four alike, one different' question over listed name-pairs is really asking: which listed pair is the one that the clues never place in a shared cell, while the other four are genuine married couples.

Working through the placement, step by step (a single-direction clue such as 'north of' or 'east of' pins BOTH people to the same value on the other axis — same flat for a pure floor-direction, same floor for a pure flat-direction — while a diagonal clue such as 'north-east' or 'south-west' lets both axes differ):

  1. Names starting with a vowel (A, E, O, U) are female and must live on an even floor (2 or 4).

  2. B lives on an even floor and two floors above N; the only floor pair that matches 1–4 is N = 2, B = 4.

  3. U is a vowel name (female, even floor). 'T lives north-east of U' (diagonal) puts U in the west flat and T in the east flat, T above U. Since U must be even and T strictly above U within floors 1–4, U = floor 2, west flat. 'T lives below E' then forces T = floor 3, E = floor 4 (the only even floor above 3).

  4. Flat 1 is fixed as west and Flat 2 as east on every floor. 'S lives south-west of B' (diagonal) forces B into the east flat and S into the west flat, with S below floor 4. Floor 2 west is already U's cell, and S is explicitly female, while U is also forced female by the vowel rule — two females cannot be married to each other — so S cannot be on floor 2. Combined with 'S doesn't live below N' (floor 2), S must be on floor 3, west flat.

  5. A lives with her own spouse in the west flat (her spouse is in the 'odd-numbered' flat, i.e. Flat 1). 'A lives just above P's spouse's flat' puts A on an even floor, west flat. Floor 2 west is U's cell, and two vowel-forced females (A and U) cannot marry each other, so A must be floor 4, west flat. P's spouse (and so P himself) is then exactly one floor below — floor 3, west flat — which is S's cell, making P and S a married pair.

  6. Floor 4 is now full: A + spouse (west), B + spouse (east). E must also be on floor 4, and E cannot be A's spouse (again, two vowel-forced females cannot marry each other) — so E shares B's east cell, making B and E a married pair.

  7. O is also vowel-forced (female, even floor: 2 or 4). O cannot be on floor 4: the west cell there would make her A's spouse (two vowel-forced females can't marry), and the east cell (B-E) is already full. So O must be on floor 2, and since 'O and Q live on the same floor', Q is on floor 2 too. O cannot share U's floor-2 west cell for the same vowel-female reason, so O takes the floor-2 east cell. Since 'Q doesn't live in the same flat as E' and E is in the east flat, Q must be in the west flat — so Q fills U's cell as her spouse. N, who must be on floor 2, is the only name left for O's cell, making O and N a married pair.

  8. For the remaining names (C, R, V, W, X, Y): X's own flat is fixed as east (his spouse lives east of Y). If X's cell were floor 3 (sharing T's), then 'R lives to the north of X' (a pure floor-direction, so R shares X's flat too) would need R in the east flat on a higher floor — the only such open slot is floor 4 east, but that's already B-E's full cell, leaving no room; so X cannot be on floor 3. X must be on floor 1, east flat, and R — sharing X's east flat, on a higher floor — takes floor 3 east alongside T, making R and T a married pair.

  9. 'Spouse of X lives to the east of Y' is a pure flat-direction, so it also pins Y to the SAME FLOOR as X's spouse — floor 1. So Y is on floor 1, west flat: exactly V's flat (V shares U's flat and gender, and floor 2 is unavailable to her, so V is also floor 1 west). Floor 1 west holds only 2 people, so V and Y share that cell and are married. 'C is spouse of neither Y nor X' then leaves W as the only name for X's floor-1 east cell: W and X are married. The one remaining name, C, takes the floor-4 west slot alongside A, making A and C a married pair — and confirming B, already married to E, is never A's partner.

Checking the five listed pairs against this placement:

Listed pair

Do they share a cell (married couple)?

V-Y

Yes — same floor-1 west cell

W-X

Yes — same floor-1 east cell

B-E

Yes — same floor-4 east cell

P-S

Yes — same floor-3 west cell

A-B

No — A is married to C on floor 4 west; B is married to E on floor 4 east

V-Y, W-X, B-E and P-S are all genuine married couples in the placement forced by the clues, while A and B are never in the same cell. So A-B is the pair that does not belong to the group.

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