Directions
• There is a family of six members A, B, C, D, E and F.
• There are two married couples in the family and the family members represent three generations.
• Each member has a distinct choice of a colour amongst Green, Yellow, Black, Red, White and Pink.
• No lady members likes either Green or White.
• C, who likes Black colour, is the daughter-in-law of E.
• B is the brother of F and son of D and likes Pink.
• A is the grandmother of F and F does not like Red.
• Wife of the husband having a choice for Green colour likes Yellow.
Which of the following could be the colour combination of one of the couples?
Explanation
1. Determining the Generations and Relationships
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Generation 1: A is the grandmother of F. Since there are two married couples, A must be married to E.
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Generation 2: C is the daughter-in-law of E. This means C is married to E's son. B is the son of D, and B is the brother of F. This implies D is the son of E and A, and D is married to C.
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Generation 3: B and F are the children of D and C.
The two couples are:
-
(A,E)
-
(D,C)
2. Assigning Genders and Colours
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Rule: No lady likes Green or White.
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C (Female): Likes Black (Given).
-
B (Male): Likes Pink (Given).
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A (Female): Grandmother. Since she is a lady, she cannot like Green or White.
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Condition: "Wife of the husband having a choice for Green colour likes Yellow."
-
This means one couple is Husband (Green) + Wife (Yellow).
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Since C likes Black, this "Yellow" wife must be A.
-
Therefore, A (Female) likes Yellow and her husband E (Male) likes Green.
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D (Male): Must be the husband of C. The remaining colours are Red and White. Since ladies can't like White, D must like White and F must like the other.
-
F (Gender Unknown): Does not like Red. If F doesn't like Red, and the only colours left for the males/females are Red and White, then F must like White (making F male) and D likes Red.
3. Summary Table
| Member |
Gender |
Generation |
Colour |
| E |
Male |
1st |
Green |
| A |
Female |
1st |
Yellow |
| D |
Male |
2nd |
Red |
| C |
Female |
2nd |
Black |
| B |
Male |
3rd |
Pink |
| F |
Male/Female |
3rd |
White |
4. Identifying the Couple's Colour Combination
Looking at the options, the combination for the first couple is Green-Yellow (or Yellow-Green).
Correct Option: (d) Yellow-Green
Explanation
1. Determining the Generations and Relationships
-
Generation 1: A is the grandmother of F. Since there are two married couples, A must be married to E.
-
Generation 2: C is the daughter-in-law of E. This means C is married to E's son. B is the son of D, and B is the brother of F. This implies D is the son of E and A, and D is married to C.
-
Generation 3: B and F are the children of D and C.
The two couples are:
-
(A,E)
-
(D,C)
2. Assigning Genders and Colours
-
Rule: No lady likes Green or White.
-
C (Female): Likes Black (Given).
-
B (Male): Likes Pink (Given).
-
A (Female): Grandmother. Since she is a lady, she cannot like Green or White.
-
Condition: "Wife of the husband having a choice for Green colour likes Yellow."
-
This means one couple is Husband (Green) + Wife (Yellow).
-
Since C likes Black, this "Yellow" wife must be A.
-
Therefore, A (Female) likes Yellow and her husband E (Male) likes Green.
-
D (Male): Must be the husband of C. The remaining colours are Red and White. Since ladies can't like White, D must like White and F must like the other.
-
F (Gender Unknown): Does not like Red. If F doesn't like Red, and the only colours left for the males/females are Red and White, then F must like White (making F male) and D likes Red.
3. Summary Table
| Member |
Gender |
Generation |
Colour |
| E |
Male |
1st |
Green |
| A |
Female |
1st |
Yellow |
| D |
Male |
2nd |
Red |
| C |
Female |
2nd |
Black |
| B |
Male |
3rd |
Pink |
| F |
Male/Female |
3rd |
White |
4. Identifying the Couple's Colour Combination
Looking at the options, the combination for the first couple is Green-Yellow (or Yellow-Green).
Correct Option: (d) Yellow-Green
