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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)
    C
  • b)
    B
  • c)
    D
  • d)
    A
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Five houses lettered A, B, C, D and E are built in a row next to each ...
Given information:
- Five houses (A, B, C, D, E) are in a row.
- Each house has a colored chimney and roof.
- Roofs can be green, red, or yellow.
- Chimneys can be white, black, or red.
- No house can have the same color chimney as its roof.
- No two adjacent houses can have the same colors.
- House E has a green roof.
- House B has a red roof and a black chimney.

To determine which statement is not true, we need to analyze the given information and make deductions.

Deductions:
- Since house E has a green roof, no other house can have a green roof.
- Since house B has a red roof, houses A, C, D, and E cannot have a red roof.
- Since house B has a black chimney, houses A, C, D, and E cannot have a black chimney.
- Therefore, house A must have a white, black, or red chimney and a yellow or green roof.
- House C must have a white, black, or red chimney and a yellow or green roof.
- House D must have a white, black, or red chimney and a yellow or green roof.

Now, let's analyze each statement:
(A) At least two houses have black chimney.
- House B has a black chimney, and houses A, C, D, and E cannot have a black chimney.
- Therefore, this statement is false.

(B) At least two houses have red roofs.
- House B has a red roof, and no other house can have a red roof.
- Therefore, this statement is false.

(C) At least two houses have white chimneys.
- Houses A, C, D, and E must have white, black, or red chimneys.
- Since we know that house B has a black chimney, one of the remaining houses (A, C, D, or E) must have a white chimney.
- Therefore, this statement is true.

(D) At least two houses have green roofs.
- House E has a green roof, and no other house can have a green roof.
- Therefore, this statement is false.

Therefore, the statement that is not true is (B) At least two houses have red roofs.
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Crystal field theory views the bonding in complexes as arising from electrostatic interaction and considers the effect of the ligand charges on the energies of the metal ion d-orbitals.In this theory, a ligand lone pair is modelled as a point negative charge that repels electrons in the d-orbitals of the central metal ion. The theory concentrated on the resulting splitting of the d-orbitals in two groups with different energies and used that splitting to rationalize and correlate the optical spectra, thermodynamic stability, and magnetic properties of complexes. This energy splitting between the two sets of dorbitals is called the crystal field splitting D.In general, the crystal field splitting energy D corresponds to wavelength of light in visible region of the spectrum, and colours of the complexes can therefore be attributed to electronic transition between the lower-and higher energy sets of d-orbitals.In general, the colour that the we see is complementry to the colour absorbed.Different metal ion have different values of D, which explains why their complexes with the same ligand have different colour.Similarly, the crystal field splitting also depends on the nature of ligands and as the ligand for the same metal varies from H2O to NH3 to ethylenediamine, D for complexes increases. Accordingly, the electronic transition shifts to higher energy (shorter wavelength) as the ligand varies from H2O to NH3 to en, thus accounting for the variation in colour.Crystal field theory accounts for the magnetic properties of complexes in terms of the relative values of and the spin pairing energy P. Small values favour high spin complexes, and large Dvalues favour low spin complexes.Which of the following statements is incorrect?

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)Cb)Bc)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)Cb)Bc)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)Cb)Bc)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)Cb)Bc)Dd)ACorrect answer is option 'B'. Can you explain this answer?.
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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)Cb)Bc)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)Cb)Bc)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)Cb)Bc)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)Cb)Bc)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)Cb)Bc)Dd)ACorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
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