Question
Download Solution PDFA question is given, followed by two statements labelled I and II. Identify which of the statements is/are sufficient to answer the question.
Question: Five houses of five different colours (blue, green, yellow, red and violet), with equal space between every two adjacent houses, are constructed in a row facing north. Which coloured house is exactly in the middle of the row?
Statements:
(I) Green and yellow coloured houses are constructed at the extreme ends of the row.
(II) Violet and blue coloured houses are immediate neighbouring houses of green and yellow coloured houses, respectively.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Question: Five houses of five different colours (blue, green, yellow, red and violet), with equal space between every two adjacent houses, are constructed in a row facing north. Which coloured house is exactly in the middle of the row?
Statements:
(I) Green and yellow coloured houses are constructed at the extreme ends of the row.
Statement I tells us that green and yellow are at the extreme ends. However, it doesn't give us the positions of the other colors (red, violet, and blue).
Therefore, we cannot determine which color is in the middle.
(II) Violet and blue coloured houses are immediate neighbouring houses of green and yellow coloured houses, respectively.
Statement II tells us that violet is next to green and blue is next to yellow. But it doesn't tell us the exact order or which end they are on.
Therefore, we cannot determine the middle house.
Combining both statements, we can deduce the arrangement of the houses:
From statement I, we know either Green - _ - _ - _ - Yellow
or Yellow - _ - _ - _ - Green.
From statement II, we know that Violet is next to Green and Blue is next to Yellow. So the arrangement must be:
Green - Violet - _ - Blue - Yellow
or Yellow - Blue - _ - Violet - Green.
Since we have all 5 colors, the remaining color, Red, has to be in the middle.
Thus, Data in Statements I and II together is sufficient to answer the question
Hence, the correct answer is "Option 4".
Last updated on Jul 17, 2025
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