Question Details

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.

How many floors are below Q’s spouse?

Options

A

Same as above A

B

Same as below T

C

Same as between P and X

D

More than two

E

None of these

Show Answer

Correct Answer :

Option C

Same as between P and X

Solution :

The correct answer option is: Same as between P and X


Step-by-step Explanation:


1. Understanding the Building Setup:
- Total persons = 16 (8 married couples, so 2 persons / 1 couple per flat).
- 4 floors (numbered 1 to 4 from bottom to top) and 2 flats per floor (Flat 1 is West of Flat 2).
- Names starting with vowels are females and live on an even-numbered floor (Floor 2 or Floor 4).
- Vowels: A, E, O, U.
- Females on even floors: A, E, O, U.
- Since there are 4 flats on even floors (2 on floor 2, 2 on floor 4) and each flat has 1 couple (1 male, 1 female), and all 4 vowel-named females live on even floors, each flat on Floor 2 and Floor 4 contains exactly one vowel female and her husband.


2. Analyzing Key Clues:
- Vowel Females: A, E, O, U live on Floor 2 or 4.
- U & T: T lives to the northeast of U, and T lives below E.
- Since T is northeast of U, U must be in Flat 1, and T must be in Flat 2 on a higher floor than U.
- U is a vowel female, so U must be on Floor 2 (since T is above U, and E is above T, so E must be on Floor 4, T on Floor 3, U on Floor 2).
- E is a vowel female, so E lives on Floor 4.
- Thus: U is on Floor 2, Flat 1. T is on Floor 3, Flat 2. E is on Floor 4.
- V and U: V and U live in the same flat (Flat 1) and have the same gender (Female). Wait, U is a female, so U's spouse must be a male living in Floor 2, Flat 1 with U. V lives in Flat 1 as well.
- B and N: B lives on an even-numbered floor, two floors above N. Thus, B lives on Floor 4, and N lives on Floor 2.
- S and B: S lives to the southwest of B, but not below N. Since B is on Floor 4, S must be on an odd floor to its southwest (Floor 3 or 1, Flat 1). But S doesn't live below N (N is on Floor 2). Since N is on Floor 2, the flat below N would be Floor 1. So S cannot be in the same flat column below N if N is in Flat 1/2. Let's place N in Flat 2 (Floor 2), so below N is Floor 1, Flat 2. Since S is southwest of B, B must be in Flat 2 (Floor 4), making S in Flat 1 (Floor 3). This fits: S is on Floor 3, Flat 1 (southwest of B on Floor 4, Flat 2), and S is not below N (N is in Flat 2, Floor 2).
- T: T lives on Floor 3, Flat 2.
- R and X: R lives to the north of X. So R and X are in the same flat column.
- O and Q: O lives on an even floor (since O is a vowel). Q lives on the same floor as O. E is on Floor 4. Q doesn't live in the same flat as E. So O and Q live on Floor 2.
- Floor 2 has Flat 1 (U + husband) and Flat 2 (O + Q, where O is female, Q is male/husband).
- Thus, N must be on Floor 2, Flat 1 (with U? No, N lives on Floor 2, Flat 1, so N is U's husband!).
- A and P: A lives just above P's spouse flat. A is a female on an even floor (Floor 4). So A lives on Floor 4, Flat 1 (since E is on Floor 4, Flat 2 with B).
- Just below A (Floor 4, Flat 1) is Floor 3, Flat 1 (S's flat). So P's spouse lives on Floor 3, Flat 1, which means P's spouse is S! Thus, P lives with S on Floor 3, Flat 1.
- R and X: R is to the north of X. Since Floor 3 Flat 1 is (S, P), Floor 3 Flat 2 is (T, spouse), Floor 4 Flat 1 is (A, spouse), Floor 4 Flat 2 is (E, B).
- R is on Floor 1, Flat 1 or Flat 2? R is north of X, so R is on a higher floor than X. R can be on Floor 3 Flat 2 (T & R?) or Floor 4 (A & R? But R is not married to A). Thus, R is married to T on Floor 3, Flat 2! Then X must be on Floor 1, Flat 2 (or Floor 1, Flat 1).
- X's Spouse and Y: Spouse of X lives to the east of Y. This means Y lives in Flat 1, and X's spouse lives in Flat 2 on Floor 1. So X lives in Flat 1 with Y! Thus X's spouse is in Flat 2 on Floor 1.

3. Determining Floor Positions:
- Floor 4: Flat 1 = A & spouse, Flat 2 = E & B.
- Floor 3: Flat 1 = S & P, Flat 2 = T & R.
- Floor 2: Flat 1 = U & N, Flat 2 = O & Q.
- Floor 1: Flat 1 = Y & X, Flat 2 = remaining couple.

4. Solving the Question:
- Q lives on Floor 2.
- Q's spouse is O, who also lives on Floor 2.
- Number of floors below Q's spouse (Floor 2) = 1 floor (Floor 1).
- Let's check the options:
- Number of floors between P (Floor 3) and X (Floor 1) = 1 floor (Floor 2).
- Therefore, the number of floors below Q's spouse is the Same as between P and X.

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