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.

Which among the following statement is not true?

  1. A.

    C lives on an even numbered floor

  2. B.

    T is married to R

  3. C.

    O and A live in different flat

  4. D.

    Q and O live in the same flat

  5. E.

    B lives on an even numbered floor

Show answer & explanation

Correct answer: D

Concept

In a floor-and-flat puzzle, first lock the rigid rules: the gender/floor rule, the fixed offsets ('two floors above', 'just above'), and every direction word (here Flat 1 = West, Flat 2 = East; 'north' = a higher floor, 'south' = a lower floor). Each married couple shares one flat (2 people), so the eight flats hold the eight couples. Crucially, 'flat' in this puzzle means a flat COLUMN - Flat 1 or Flat 2 - so a clue like 'does not live in the same flat as E' constrains the LEFT/RIGHT column, not merely the exact cabin.

Building the grid

  1. Vowel names A, E, O, U are female and sit on even floors (2 or 4).

  2. 'B lives two floors above N' with B on an even floor forces B = floor 4 and N = floor 2.

  3. 'S sits south-west of B and not below N' places S on Flat 1 of floor 3 and B on Flat 2 of floor 4; the word 'she' fixes S as female, so her husband P is male on the same floor and flat.

  4. 'A's spouse is in an odd flat (Flat 1)' puts A in Flat 1 on an even floor; 'A is just above P's spouse' then fixes A on floor 4, Flat 1, paired with C.

  5. 'T is north-east of U and below E' sets T on Flat 2 of floor 3 (with R) and U on Flat 1 of floor 2; E shares floor 4, Flat 2 with B.

  6. 'Spouse of X is east of Y' with 'R north of X' pushes X, Y, V, W down to floor 1: X in Flat 2 (with W), Y in Flat 1 (with V); V shares U's flat column and gender, so V is female.

  7. O and Q are left for floor 2. Since E is in the Flat 2 column and 'Q does not live in the same flat as E', Q must be in the Flat 1 column - so Q pairs with U in Flat 1, and O pairs with N in Flat 2.

Final arrangement

Floor

Flat 1 (West)

Flat 2 (East)

4

A (F), C (M)

B (M), E (F)

3

P (M), S (F)

R (F), T (M)

2

Q (M), U (F)

N (M), O (F)

1

V (F), Y (M)

W (M), X (F)

Reading off the answer

Now test each statement against the grid. Four of them agree with the arrangement, so they are true and therefore NOT what the question wants. Exactly one statement contradicts the grid:

Q sits in the Flat 1 column while O sits in the Flat 2 column, so although they share floor 2 they are in different flats - the claim that Q and O live in the SAME flat is the one statement that is not true.

Cross-check

Every flat now holds exactly one couple, all four vowel-named people (A, E, O, U) are female on even floors, and each direction, offset, gender and 'same-flat' clue is satisfied with no person placed twice - so the grid is the unique solution and the false statement is uniquely determined.

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