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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 has a coloured chimney. The roof and chimney of each house must be painted as follows :

(i) The roof must be painted green, red or yellow.

(ii) The chimney must be painted white, black or red.

(iii) No house may have the same colour chimney as the colour of roof.

(iv) No house may use any of the same colours that the every next house uses.

(v) House E has a green roof.

(vi) House B has a red roof and a black chimney.


Which of the following is not true?

(A) At least two houses have black chimney.

(B) At least two houses have red roofs.

(C) At least two houses have white chimneys.

(D) At least two houses have green roofs.

  • a)
    B

  • b)
    C

  • c)
    D

  • d)
    A

Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Five houses lettered A, B, C, D and E are built in a row next to each ...
Analysis:
To solve this question, we need to consider the given information and apply it to the rules provided. Let's break down the information given and analyze each statement.

Given information:
- Houses A, B, C, D, and E are built in a row.
- Each house has a colored chimney and a roof.
- The roof can be green, red, or yellow.
- The chimney can be white, black, or red.
- No house can have the same color chimney as its roof.
- No house can use the same colors as its adjacent houses.
- House E has a green roof.
- House B has a red roof and a black chimney.

Analysis of statements:
(A) At least two houses have black chimneys.
(B) At least two houses have red roofs.
(C) At least two houses have white chimneys.
(D) At least two houses have green roofs.

Statement A: At least two houses have black chimneys.
Let's consider the possibilities for the black chimney:
- House A cannot have a black chimney because it has a green roof.
- House B has a black chimney.
- House C cannot have a black chimney because it has to be different from the adjacent house B.
- House D cannot have a black chimney because it has to be different from the adjacent house C.
- House E cannot have a black chimney because it has a green roof.

Only one house (House B) has a black chimney. Therefore, statement A is true.

Statement B: At least two houses have red roofs.
Let's consider the possibilities for the red roof:
- House A cannot have a red roof because it has a green roof.
- House B has a red roof.
- House C cannot have a red roof because it has to be different from the adjacent house B.
- House D cannot have a red roof because it has to be different from the adjacent house C.
- House E cannot have a red roof because it has a green roof.

Only one house (House B) has a red roof. Therefore, statement B is false.

Statement C: At least two houses have white chimneys.
Let's consider the possibilities for the white chimney:
- House A cannot have a white chimney because it has a green roof.
- House B cannot have a white chimney because it has a black chimney.
- House C has a white chimney.
- House D cannot have a white chimney because it has to be different from the adjacent house C.
- House E cannot have a white chimney because it has a green roof.

Only one house (House C) has a white chimney. Therefore, statement C is false.

Statement D: At least two houses have green roofs.
Let's consider the possibilities for the green roof:
- House A has a green roof.
- House B cannot have a green roof because it has a red roof.
- House C cannot have a green roof because it has to be different from the adjacent house B.
- House D cannot have a green roof because it has to be different from the adjacent house C.
- House E has a green roof.

Only two houses (House A and House E) have green roofs. Therefore, statement D is true.

Conclusion:
Based on the analysis
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Community Answer
Five houses lettered A, B, C, D and E are built in a row next to each ...
According to the question given, roof has to be painted either red, green or yellow and chimney either white, black or red. Now House E has green roof, B has red roof and black chimney, C has yellow roof. Now according to the statement (iv) i.e. (No house may use any of the same colours that the every next house uses.) Therefore, if B has red roof then D would have red roof as well and if C has yellow roof then either A or E will have yellow roof that means only one house can have green roof. Hence, option (2) is the correct answer.
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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 has a coloured chimney. The roof and chimney of each house must be painted as follows :(i) The roof must be painted green, red or yellow.(ii) The chimney must be painted white, black or red.(iii) No house may have the same colour chimney as the colour of roof.(iv) No house may use any of the same colours that the every next house uses.(v) House E has a green roof.(vi) House B has a red roof and a black chimney.Which of the following is not true?(A) At least two houses have black chimney.(B) At least two houses have red roofs.(C) At least two houses have white chimneys.(D) At least two houses have green roofs.a)Bb)Cc)Dd)ACorrect answer is option 'B'. Can you explain this answer?
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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 has a coloured chimney. The roof and chimney of each house must be painted as follows :(i) The roof must be painted green, red or yellow.(ii) The chimney must be painted white, black or red.(iii) No house may have the same colour chimney as the colour of roof.(iv) No house may use any of the same colours that the every next house uses.(v) House E has a green roof.(vi) House B has a red roof and a black chimney.Which of the following is not true?(A) At least two houses have black chimney.(B) At least two houses have red roofs.(C) At least two houses have white chimneys.(D) At least two houses have green roofs.a)Bb)Cc)Dd)ACorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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 has a coloured chimney. The roof and chimney of each house must be painted as follows :(i) The roof must be painted green, red or yellow.(ii) The chimney must be painted white, black or red.(iii) No house may have the same colour chimney as the colour of roof.(iv) No house may use any of the same colours that the every next house uses.(v) House E has a green roof.(vi) House B has a red roof and a black chimney.Which of the following is not true?(A) At least two houses have black chimney.(B) At least two houses have red roofs.(C) At least two houses have white chimneys.(D) At least two houses have green roofs.a)Bb)Cc)Dd)ACorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 has a coloured chimney. The roof and chimney of each house must be painted as follows :(i) The roof must be painted green, red or yellow.(ii) The chimney must be painted white, black or red.(iii) No house may have the same colour chimney as the colour of roof.(iv) No house may use any of the same colours that the every next house uses.(v) House E has a green roof.(vi) House B has a red roof and a black chimney.Which of the following is not true?(A) At least two houses have black chimney.(B) At least two houses have red roofs.(C) At least two houses have white chimneys.(D) At least two houses have green roofs.a)Bb)Cc)Dd)ACorrect answer is option 'B'. Can you explain this answer?.
Solutions for 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 has a coloured chimney. The roof and chimney of each house must be painted as follows :(i) The roof must be painted green, red or yellow.(ii) The chimney must be painted white, black or red.(iii) No house may have the same colour chimney as the colour of roof.(iv) No house may use any of the same colours that the every next house uses.(v) House E has a green roof.(vi) House B has a red roof and a black chimney.Which of the following is not true?(A) At least two houses have black chimney.(B) At least two houses have red roofs.(C) At least two houses have white chimneys.(D) At least two houses have green roofs.a)Bb)Cc)Dd)ACorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of 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 has a coloured chimney. The roof and chimney of each house must be painted as follows :(i) The roof must be painted green, red or yellow.(ii) The chimney must be painted white, black or red.(iii) No house may have the same colour chimney as the colour of roof.(iv) No house may use any of the same colours that the every next house uses.(v) House E has a green roof.(vi) House B has a red roof and a black chimney.Which of the following is not true?(A) At least two houses have black chimney.(B) At least two houses have red roofs.(C) At least two houses have white chimneys.(D) At least two houses have green roofs.a)Bb)Cc)Dd)ACorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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 has a coloured chimney. The roof and chimney of each house must be painted as follows :(i) The roof must be painted green, red or yellow.(ii) The chimney must be painted white, black or red.(iii) No house may have the same colour chimney as the colour of roof.(iv) No house may use any of the same colours that the every next house uses.(v) House E has a green roof.(vi) House B has a red roof and a black chimney.Which of the following is not true?(A) At least two houses have black chimney.(B) At least two houses have red roofs.(C) At least two houses have white chimneys.(D) At least two houses have green roofs.a)Bb)Cc)Dd)ACorrect answer is option 'B'. Can you explain this answer?, a detailed solution for 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 has a coloured chimney. The roof and chimney of each house must be painted as follows :(i) The roof must be painted green, red or yellow.(ii) The chimney must be painted white, black or red.(iii) No house may have the same colour chimney as the colour of roof.(iv) No house may use any of the same colours that the every next house uses.(v) House E has a green roof.(vi) House B has a red roof and a black chimney.Which of the following is not true?(A) At least two houses have black chimney.(B) At least two houses have red roofs.(C) At least two houses have white chimneys.(D) At least two houses have green roofs.a)Bb)Cc)Dd)ACorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of 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 has a coloured chimney. The roof and chimney of each house must be painted as follows :(i) The roof must be painted green, red or yellow.(ii) The chimney must be painted white, black or red.(iii) No house may have the same colour chimney as the colour of roof.(iv) No house may use any of the same colours that the every next house uses.(v) House E has a green roof.(vi) House B has a red roof and a black chimney.Which of the following is not true?(A) At least two houses have black chimney.(B) At least two houses have red roofs.(C) At least two houses have white chimneys.(D) At least two houses have green roofs.a)Bb)Cc)Dd)ACorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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 has a coloured chimney. The roof and chimney of each house must be painted as follows :(i) The roof must be painted green, red or yellow.(ii) The chimney must be painted white, black or red.(iii) No house may have the same colour chimney as the colour of roof.(iv) No house may use any of the same colours that the every next house uses.(v) House E has a green roof.(vi) House B has a red roof and a black chimney.Which of the following is not true?(A) At least two houses have black chimney.(B) At least two houses have red roofs.(C) At least two houses have white chimneys.(D) At least two houses have green roofs.a)Bb)Cc)Dd)ACorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
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