In a family of three generations there are eight members. How many married couples are there in the family?

**Statement I.** R is son of P. S is sibling of R and has only one son. V is grandson of Q.

**Statement II.** U has no siblings. W is daughter-in-law of U. P is sibling of T.

**Statement III.** Q is sister-in-law of T has no siblings. U is brother-in-law of R.

Question

In a family of three generations there are eight members. How many married couples are there in the family?

**Statement I.** R is son of P. S is sibling of R and has only one son. V is grandson of Q.

**Statement II.** U has no siblings. W is daughter-in-law of U. P is sibling of T.

**Statement III.** Q is sister-in-law of T has no siblings. U is brother-in-law of R.

Accepted Answer

**Solution:**

We need to find the number of married couples in a family of three generations with eight members.

1. **From Statement I:**
   - R is son of P.
   - S is sibling of R and has only one son.
   - V is grandson of Q.

This gives some family relations but does not clarify the number of couples.

2. **From Statement II:**
   - U has no siblings.
   - W is daughter-in-law of U.
   - P is sibling of T.

This adds information about in-laws and siblings but still insufficient alone to find total couples.

3. **From Statement III:**
   - Q is sister-in-law of T and has no siblings.
   - U is brother-in-law of R.

This clarifies some in-law relations but not enough alone or with only Statement II.

4. **Combining Statements II and III:**
   - Gives more relations but still does not fully clarify the number of couples.

5. **Using all three statements together:**
   - We can deduce the family structure:
     - Three generations imply grandparents, their children, and grandchildren.
     - Eight members include couples and their children.
     - From the given relations, we can identify the couples:
       - P and Q (since Q is sister-in-law of T and related to P)
       - T and U (since U is brother-in-law of R and U has no siblings)
       - S and his wife (since S has a son)

Thus, there are **3 married couples** in the family.

**Answer:** (d) If the data in all the statement I, II and III are necessary to answer the question.

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