Direction : Read the following passage to answer the questions Five houses lettered A, B, C, D, & E are built in a row next to each other. The houses are lined up in the order A, B, C, D, & E. Each of the five houses have coloured roofs and chimneys. The roof and chimney of each house must be painted as follows (1) The roof must be painted either green, red, or yellow. (2) The chimney must be painted either white, black~or red. (3) No house may have the same colour chimney as the colour of roof.

House E has a white chimney. Explanation: To find the correct statement, we must determine the colors for houses and based on the given constraints. 1. Analyze House : Roof: Yellow (Given in the question). Chimney: House is next to House . House uses Red (roof) and Black (chimney). According to Rule 4, House cannot use Red or Black. Therefore, House must have a White chimney. 2. Analyze House : House is next to House . House uses Yellow (roof) and White (chimney). According to Rule 4, House cannot use Yellow or White. Roof Options for : Cannot be Yellow. Options are Green or Red. Chimney Options for : Cannot be White. Options are Black or Red. Constraint from House : House has a Green roof. Thus, House (neighbor) cannot have a Green roof. Result for : Roof must be Red . Since the roof of is Red, the chimney of cannot be Red (Rule

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NIMCET 2009 Reasoning PYQ — Direction : Read the following passage to answer the questions Fi… | Mathem Solvex

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NIMCET 2009 Reasoning PYQ — Direction : Read the following passage to answer the questions Fi… | Mathem Solvex | Mathem Solvex

Explanation

To find the correct statement, we must determine the colors for houses $C, D,$ and $E$ based on the given constraints.

1. Analyze House $C$ :

Roof: Yellow (Given in the question).
Chimney: House $C$ is next to House $B$ . House $B$ uses Red (roof) and Black (chimney). According to Rule 4, House $C$ cannot use Red or Black.
Therefore, House $C$ must have a White chimney.

2. Analyze House $D$ :

House $D$ is next to House $C$ . House $C$ uses Yellow (roof) and White (chimney).
According to Rule 4, House $D$ cannot use Yellow or White.
Roof Options for $D$ : Cannot be Yellow. Options are Green or Red.
Chimney Options for $D$ : Cannot be White. Options are Black or Red.
Constraint from House $E$ : House $E$ has a Green roof. Thus, House $D$ (neighbor) cannot have a Green roof.
Result for $D$ : Roof must be Red.
Since the roof of $D$ is Red, the chimney of $D$ cannot be Red (Rule 3).
Therefore, House $D$ must have a Black chimney.

3. Analyze House $E$ :

Roof: Green (Fixed).
Chimney: House $E$ is next to House $D$ . House $D$ uses Red (roof) and Black (chimney).
According to Rule 4, House $E$ cannot use Red or Black.
Result for $E$ : The only remaining chimney color is White.

Summary Table:

House	Roof	Chimney
B	Red	Black
C	Yellow	White
D	Red	Black
E	Green	White

Conclusion:

House $E$ has a white chimney.

Correct Option:

(a) House $E$ has a white chimney.

NIMCET 2009 — Reasoning PYQ

Choose the correct answer:

Explanation

Explanation