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.
If house C has a yellow roof, then which of the following must be true?
Explanation
1. House C ki details:
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Question me diya hai ki House C ka Roof Yellow hai.
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Rule 4 ke mutabik, House C apne padosi House B ke colors (Red aur Black) use nahi kar sakta.
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Isliye, House C ki Chimney White hogi.
2. House D ki details:
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House D ka padosi House C (Yellow roof) aur House E (Green roof) hai. Toh Rule 4 ke hisaab se House D ka roof Yellow ya Green nahi ho sakta.
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Isliye, House D ka Roof Red hoga.
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Ab chimney ki baat karein: House D ki chimney White nahi ho sakti (kyunki C ki chimney white hai) aur Red bhi nahi ho sakti (kyunki uska apna roof red hai).
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Isliye, House D ki Chimney Black hogi.
3. House E ki details:
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House E ka Roof Green pehle se diya gaya hai.
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Rule 4 ke mutabik, ye apne padosi House D ke colors (Red aur Black) use nahi kar sakta.
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Chimney ke options White, Black aur Red hain. Black aur Red padosi (D) use kar raha hai, toh bacha sirf ek option.
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Isliye, House E ki Chimney White hogi.
Conclusion:
Saaf hai ki House E ki chimney White honi chahiye.
Correct Option: (a) House E has a white chimney
Explanation
1. House C ki details:
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Question me diya hai ki House C ka Roof Yellow hai.
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Rule 4 ke mutabik, House C apne padosi House B ke colors (Red aur Black) use nahi kar sakta.
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Isliye, House C ki Chimney White hogi.
2. House D ki details:
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House D ka padosi House C (Yellow roof) aur House E (Green roof) hai. Toh Rule 4 ke hisaab se House D ka roof Yellow ya Green nahi ho sakta.
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Isliye, House D ka Roof Red hoga.
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Ab chimney ki baat karein: House D ki chimney White nahi ho sakti (kyunki C ki chimney white hai) aur Red bhi nahi ho sakti (kyunki uska apna roof red hai).
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Isliye, House D ki Chimney Black hogi.
3. House E ki details:
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House E ka Roof Green pehle se diya gaya hai.
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Rule 4 ke mutabik, ye apne padosi House D ke colors (Red aur Black) use nahi kar sakta.
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Chimney ke options White, Black aur Red hain. Black aur Red padosi (D) use kar raha hai, toh bacha sirf ek option.
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Isliye, House E ki Chimney White hogi.
Conclusion:
Saaf hai ki House E ki chimney White honi chahiye.
Correct Option: (a) House E has a white chimney