Sixteen individuals — A, B, C, E, N, O, P, Q, R, S, T, U, V, W, X, and Y — reside in two flats (Flat 1 and Flat 2) of a four-floor building. The floor...

Question

Sixteen individuals — A, B, C, E, N, O, P, Q, R, S, T, U, V, W, X, and Y — reside in two flats (Flat 1 and Flat 2) of a four-floor building. The floors are numbered from 1 (lowest) to 4 (topmost). Flat 1 is located to the west of Flat 2. Flat 1 on floor 2 is directly above Flat 1 on floor 1, and similarly, Flat 2 on floor 2 is directly above Flat 2 on floor 1. There are eight married couples, each couple living together on the same floor and in the same flat. Names starting with a vowel denote females, who live only on even-numbered floors. The information below is not necessarily in order:

  • A lives just above the flat of P's spouse.
  • A’s spouse lives in an odd-numbered flat.
  • O and Q live on the same floor.
  • T lives to the northeast of U and below E.
  • Q and E do not live in the same flat.
  • B lives two floors above N and on an even-numbered floor.
  • S lives southwest of B but not below N.
  • R lives north of X and is not married to A.
  • X’s spouse lives east of Y.
  • C is not the spouse of Y or X.
  • V and U live in the same flat and share the same gender.
  • W and Q have the same gender.

Which of the following statements is not true?

Options

A.

(a) C lives on an even numbered floor

B.

(b) T is married to R

C.

(c) O and A live in different flats

D.

(d) Q and O live in the same flat

E.

(e) B lives on an even numbered floor

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