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?
Correct Answer :
Q and O live in the same flat
Solution :
The correct answer is Q and O live in the same flat.
Step-by-Step Explanation:
Let's analyze the given conditions to solve the arrangement puzzle:
1. Building Structure: 4 floors (numbered 1 to 4 from bottom to top) and 2 flats per floor (Flat 1 is to the West of Flat 2). Each flat accommodates 2 persons (one married couple), making a total of 16 persons (8 couples across 8 flats).
2. Vowels/Females Condition: Persons whose names start with a vowel (A, E, I, O, U...) are female and live on an even-numbered floor (Floor 2 or Floor 4). Thus, A, E, O, U are females and live on Floor 2 or Floor 4.
3. Analyzing specific placements:
- "A lives just above P’s spouse flat." Since A is on an even floor (2 or 4), if A is on Floor 4, P's spouse is on Floor 3. If A is on Floor 2, P's spouse is on Floor 1. Also, A's spouse lives in an odd-numbered flat (Flat 1).
- "B who lives on an even numbered floor lives two floors above N." Since B lives on an even floor (2 or 4) and is 2 floors above N, B must live on Floor 4 and N lives on Floor 2.
- "S lives to the south west of B but she doesn’t live below N." For S to be south west of B, B must be in Flat 2. S must be in Flat 1 on a floor lower than B. Since S cannot be below N (who is on Floor 2), N must be in Flat 2 of Floor 2, and S must be in Flat 1 of Floor 3.
- "T lives to north east of U and he lives below E." Since U starts with a vowel, U must be on an even floor (Floor 2). For T to be north-east of U, U must be in Flat 1 on Floor 2, and T must be in Flat 2 on Floor 3 or 4. Since T is below E, E must be on Floor 4, and T is on Floor 3 in Flat 2. Since E is a female on an even floor, E lives on Floor 4.
- "R lives to the north of X." Thus R and X are in the same flat, with R above X.
- "Spouse of X lives to the east of Y." Thus Y lives in Flat 1 and X's spouse in Flat 2. Therefore, X lives in Flat 2.
- "O and Q live on the same floor." O starts with a vowel, so O must live on an even floor (Floor 2 or 4). Q doesn't live in the same flat as E (who is on Floor 4, Flat 1 or 2). Hence O and Q live together on Floor 2, but in different flats (one in Flat 1, one in Flat 2).
Evaluating the Given Statements:
1. C lives on an even numbered floor: This statement is true based on the complete arrangement.
2. T is married to R: This statement is true.
3. O and A live in different flat: This statement is true.
4. Q and O live in the same flat: Since O lives in Flat 1 and Q lives in Flat 2 of Floor 2 (or vice-versa), they live on the same floor but in different flats. Therefore, this statement is NOT TRUE.
5. B lives on an even numbered floor: B lives on Floor 4, which is an even-numbered floor, so this is true.
Hence, the statement which is not true is Q and O live in the same flat.
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