CAT 2008 — DILR Question 16
Answer the following question based on the information given below.
i. There are three houses on each side of the road.
ii. These six houses are labeled as P, Q, R, S, T and U.
iii. The houses are of different colours, namely, Red, Blue, Green, Orange, Yellow and White.
iv. The houses are of different heights.
v. T, the tallest house, is exactly opposite to the Red coloured house.
vi. The shortest house is exactly opposite to the Green coloured house.
vii. U, the Orange coloured house, is located between P and S.
viii. R, the Yellow coloured house, is exactly opposite to P.
ix. Q, the Green coloured house, is exactly opposite to U.
x. P, the White coloured house, is taller than R, but shorter than S and Q.
What is the colour of the tallest house?
Answer & solution
- A
Red
Blue
- C
Green
- D
Yellow
- E
None of these
We have to arrange six houses on opposite sides of a road.
From condition (vii), we can say that P, U and S lie on one side of the road as follows:
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From condition (viii) and (ix) we can further complete the arrangement as follows. We have also used the color of the house P from statement (x).
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The only left house is definitely T. From conditions (v) and we can complete the arrangement as follows.
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From condition (vi) it can be deduced that U is the shortest house. Also from the last condition it can be deduced that P is the fourth tallest, R is the fifth tallest and S and Q are second and third tallest not in that order.
Filling all this data we can see the arrangement as follows:
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âââââââThe color of the tallest house (T) is Blue.
Hence, option (b).