Blood Relations

As per the question,

$\therefore \mathrm{D}$ is sister of U .

Hence, option (a) is the correct answer.

According to the question,

Clearly, ' $ A $ ' is the cousin of ' $ E $ ' is the correct statement.

Given,

# - Husband, @ - Daughter

$\&$ - Sister

We have,

P&Q@D#K@S#T

Here, in option (d), D is the daughter-in-law of 'T' is not a correct statement.

The symbols represent different relationships as follows:

'A + B' means 'A is the mother of B'.

'A - B' means 'A is the brother of B'.

'A x B' means 'A is the father of B'.

'A ÷ B' means 'A is the daughter of B'.

Substituting these relationships into the given equation, P - K x Y - J ÷ S + R, yields :

P is the brother of K, who is the father of Y.

Y is the brother of J, who is the daughter of S.

S is the mother of R.

Now, let's check each statement :

Option A : K is the husband of S - Correct. If K is the father of Y and S is the mother of R, and both Y and R are siblings (since Y is the brother of J who is the daughter of S), K and S are married to each other.

Option B : Y is the son of S - Correct. As explained above, S is the mother of R, and since Y is a sibling of R, Y is the son of S.

Option C : J is the daughter of P - Incorrect. According to the relationships given, J is not related to P directly. J is the daughter of S, not P.

Option D : P is the paternal uncle of R - Correct. P is the brother of K who is the father of R, making P the paternal uncle of R.

So, the statement that is not correct is Option C : "J is the daughter of P".

The relation is as following

From the relationships given :

1. Shikha is mother-in-law of Ekta, so Ekta is married to Shikha's son.
2. Ekta is sister-in-law of Ankit, so Ankit is her husband's brother. Because Ekta is married to Shikha's son, this means Ankit is also Shikha's son.
3. Pankaj is father of Sanjay, the only brother of Ankit, so Sanjay and Ankit are both sons of Pankaj. Because Ankit is Shikha's son, Pankaj is Shikha's husband.

So, Shikha is Ankit's mother.

Option D : Mother.