NIMCET 2012 — Reasoning PYQ

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Question

NIMCET 2012 — Reasoning PYQ

NIMCET | Reasoning | 2012

Directions : Read the following passage carefully and answer the questions.
Five houses lettered A, B, C, D and E are built in a row next to each other. The houses are lined up in the order A, B, C, D and E. Each of the five houses have coloured roofs and chimneys. The roof and chimney of each houses 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.
4. No house may use any of the same colours that adjacent house uses.
5. House E has a green roof.
6. House B has a red roof and a black chimney.
Which of the following is true?

Choose the correct answer:

Explanation

Step 1: House $B$ fixed values

Roof: Red
Chimney: Black

Step 2: House $C$ constraints (Adjacent to $B$ )

Rule 4 ke hisaab se $C$ , House $B$ ke colors (Red, Black) use nahi kar sakta.
Chimney options: White, Black, Red.
Red aur Black cancel, toh House $C$ Chimney = White.

Step 3: House $A$ constraints (Adjacent to $B$ )

Rule 4 ke hisaab se $A$ , House $B$ ke colors (Red, Black) use nahi kar sakta.
Chimney options: White, Black, Red.
Red aur Black cancel, toh House $A$ Chimney = White.

Step 4: House $D$ and $E$ check

House $E$ ka roof Green hai.
$D$ ke colors ke basis par $E$ ki chimney decide hogi. Agar $D$ Red aur Black use karta hai, toh $E$ ko bhi White chimney leni hogi.
Hamne dekha ki $A$ aur $C$ dono ki chimney White confirm ho rahi hai.

Conclusion:

House $A$ aur House $C$ dono ki chimney White hai, isliye "Atleast two houses have white chimneys" statement sahi hai.

Correct Option: (c) Atleast two houses have white chimneys.