In a three-generation family of eight persons there is three married couple. M is the only daughter-in-law of V. J has two children and he has one sibling. S is daughter of L who is parent of J. S is sister-in-law of M and is unmarried. U is nephew of S. T is sister-in-law of R who has no siblings. V is not a mother of J.
Which among the following statement(s) is/are not true?Correct Answer :
Only I
Solution :
The correct option is Only I.
Step 1: Analyze the given family relations step-by-step:
1. Family Structure: There are 8 members across 3 generations with 3 married couples.
2. L, J, and S: L is parent of J and S. S is the daughter of L, which means S is female. S is unmarried.
3. S and M: S is the sister-in-law of M. Since S is unmarried, M must be married to S's brother, J. Therefore, J is male, M is female, and J and M are a married couple.
4. M and V: M is the only daughter-in-law of V. Since M is married to J, V must be the parent of J (and S). Thus, V and L are married (Generation 1).
5. V's Gender: The problem states "V is not a mother of J". Since V is a parent of J, V must be the father (male), and L must be the mother (female).
6. J's Children (U and T): J has two children. U is the nephew of S (since S is J's sister, U is J's child, hence male).
7. T and R: T is the sister-in-law of R, and R has no siblings. For T to be sister-in-law of R (who has no siblings), R must be married to T's sibling (U). Since R is female, R is the daughter-in-law of J and M, and married to U (male). Thus, U and R form the 3rd married couple in Generation 3.
8. T's Identity: T is the other child of J and M. Since T is sister-in-law to R, T is female. Therefore, U and T are siblings (brother and sister).
Step 2: Summary of Family Members and Genders:
• Generation 1: V (Male, Father) married to L (Female, Mother)
• Generation 2: J (Male, Son) married to M (Female, Daughter-in-law); S (Female, Unmarried Daughter)
• Generation 3: U (Male, Grandson) married to R (Female, Granddaughter-in-law); T (Female, Granddaughter)
Gender Count:
• Males (3): V, J, U
• Females (5): L, M, S, T, R
Since 5 > 3, the number of female members is indeed more than male members.
Step 3: Evaluate the given statements:
• Statement I: "R is daughter-in-law of S"
R is married to U, who is the son of J and M. Therefore, R is the daughter-in-law of J and M, not S (S is U's aunt). Thus, Statement I is NOT true.
• Statement II: "U is brother of T"
U and T are both children of J and M, with U being male and T being female. Thus, U is the brother of T. Statement II is true.
• Statement III: "Number of female members are more than male members"
There are 5 females and 3 males. Thus, Statement III is true.
Since only Statement I is not true, the correct answer is Only I.
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