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Previous Year Questions

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Question :

A 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.

1. Data in Statement II alone is sufficient to answer the question while data in Statement I is not

2. Data in Statements I and II together is not sufficient to answer the question

3. Data in Statement I alone is sufficient to answer the question while data in Statement II is not

4. Data in Statements I and II together is sufficient to answer the question

Correct Answer : 4
Solution :

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.

Only statement I:

(I) Green and yellow coloured houses are constructed at the extreme ends of the row.

So, which coloured house is exactly in the middle of the row is unknown.

Only statement II:

(II) Violet and blue coloured houses are immediate neighbouring houses of green and yellow coloured houses, respectively.

So, which coloured house is exactly in the middle of the row is unknown.

Both statement I and II:

(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

So, Red coloured house is exactly in the middle of the row.

Thus, Data in Statements I and II together is sufficient to answer the question.

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