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.

Who among the following is the wife of T?

The correct answer is Option 3: R.

Step-by-Step Explanation and Logic:

1. Understanding the Rules & Layout:

- There are 4 floors (numbered 1 to 4 from bottom to top) and 2 flats per floor (Flat 1 is West of Flat 2).

- Total 8 positions (each flat on each floor). Since 16 persons live in the building and there are 8 married couples, each flat contains 1 married couple (husband and wife).

- Persons whose names start with a vowel (A, E, O, U) are female and live on an even-numbered floor (Floor 2 or Floor 4).

- Flat 1 is an odd-numbered flat and Flat 2 is an even-numbered flat.

2. Analyzing Vowels (Females on Even Floors):

- Vowels in the list: A, E, O, U.

- All vowels are female and must live on Floor 2 or Floor 4.

- Since there are 4 vowels and 4 flat positions on even floors (Floor 4 Flat 1, Floor 4 Flat 2, Floor 2 Flat 1, Floor 2 Flat 2), each of these 4 positions contains exactly one vowel (female).

3. Deduction of Positions & Couples:

- "O and Q live on the same floor." → O is a vowel, so O must be on an even floor (2 or 4). Q is O's spouse living in the same flat on that floor.

- "A lives just above P's spouse flat." → A is on an even floor. Since A is above another flat, A must be on Floor 4 or Floor 2. A's spouse lives in an odd-numbered flat (Flat 1). Therefore, A lives in Flat 1. Since A lives on an even floor and in Flat 1, A is either on Floor 4, Flat 1 or Floor 2, Flat 1.

- "B who lives on an even numbered floor lives two floors above N." → B lives two floors above N, so B is on Floor 4 and N is on Floor 2, or B is on Floor 3 and N is on Floor 1. But B lives on an even floor, so B is on Floor 4 and N is on Floor 2.

- "S lives to the south west of B but she doesn't live below N." → South-west means S is in Flat 1 and on a lower floor than B. B must be in Flat 2 of Floor 4, and S must be in Flat 1 of Floor 3 (since S is not below N, N must be in Flat 2 of Floor 2).

- Since B is in Floor 4 Flat 2, B's female spouse on Floor 4 Flat 2 must be a vowel. Since A is in Floor 4 Flat 1, the vowel in Flat 2 of Floor 4 is either E or O.

- "T lives to north east of U and he lives below E." → U is a vowel (even floor). North-east of U means T is to the north and east (Flat 2, higher floor). U must be on Floor 2, Flat 1. Since T is below E, E must be on Floor 4. Thus, E lives on Floor 4 Flat 2 (with B).

- Since E is on Floor 4 Flat 2, and A is in Flat 1 of an even floor, A must be on Floor 4, Flat 1.

- The remaining vowels (O and U) must be on Floor 2: U is in Floor 2, Flat 1 and O is in Floor 2, Flat 2 (with Q).

- "A lives just above P's spouse flat." → A is on Floor 4, Flat 1, so P's spouse lives on Floor 3, Flat 1 (which is S's flat). Thus, P is married to S in Floor 3, Flat 1.

- "R lives to the north of X." → R and X are in the same flat column. Since Floor 4 and Floor 2 are occupied by other couples in Flat 1 (Floor 4: A; Floor 2: U), R must be on Floor 3 and X on Floor 1, or R on Floor 4 and X on a lower floor. Looking at Flat 2: Floor 3 has T (north-east of U, below E). T is on Floor 3, Flat 2. Thus, R is on Floor 3, Flat 2 and X is on Floor 1, Flat 2, or R is married to T on Floor 3, Flat 2.

- "Spouse of X lives to the east of Y." → X's flat must be Flat 2 on Floor 1, which means Y lives in Flat 1 of Floor 1. X's spouse is in Flat 2, Floor 1, living to the east of Y.

- Since T lives on Floor 3, Flat 2, and R lives to the north of X (who is on Floor 1, Flat 2), R lives on Floor 3, Flat 2.

- Therefore, on Floor 3, Flat 2, the couple living together consists of T and R.

Conclusion:

R lives on Floor 3, Flat 2 as the female spouse/wife of T.