Question Details

Directions (11-13): Each of these questions is based on the given information:

X@Y means X is son of Y
X#Y means X is mother of Y
X$Y means X is spouse of Y
X%Y means X is daughter-in-law of Y
X*Y means X is sister of Y
X&Y means X is father of Y
X+Y means X is grandmother of Y
Statement: V$A+B, E&T , C#S*T , B@H%C$E

If ‘Z*H’ , then who among the following is sister-in-law of Z?

Options

A

T

B

None of these

C

S

D

H

Show Answer

Correct Answer :

Option C

S

S

Solution :

To determine the relation between Z and S, let us first decode the relationship expressions provided in the statements and construct the family tree step-by-step.

The symbols represent the following relations:
- X@Y means X is the son of Y.
- X#Y means X is the mother of Y.
- X$Y means X is the spouse of Y.
- X%Y means X is the daughter-in-law of Y.
- X*Y means X is the sister of Y.
- X&Y means X is the father of Y.
- X+Y means X is the grandmother of Y.

Now, let us analyze the given statements:
1. B @ H % C $ E
- B@H ⇒ B is the son of H.
- H%C ⇒ H is the daughter-in-law of C (H is married to C's son). Since H is a daughter-in-law, H is female (-).
- C$E ⇒ C is the spouse of E. Since H is the daughter-in-law of C, and H is married to C's son, and B is the son of H, the husband of H must be the son of C and E.

2. C # S * T
- C#S ⇒ C is the mother of S. (So C is female (-) and E is male (+)).
- S*T ⇒ S is the sister of T. (So S is female (-)).

3. E & T
- E&T ⇒ E is the father of T. (This is consistent with E and C being spouses, and C being the mother of S and S being the sister of T. Thus, E and C are parents of S, T, and possibly others).

4. B @ H % C $ E (revisiting the marriage of H)
H is the daughter-in-law of C and E. This means H is married to a son of C and E. Let us find the son. Since B is the son of H, and B is also a son of H's husband. Let us check the siblings S, T and others. S is female (-). T's gender is not yet determined, but we have:

5. Z * H
- This is the condition: "If 'Z * H'".
- Z*H means Z is the sister of H. (Z is female (-)).

We want to find who is the sister-in-law of Z.
Since Z is the sister of H, Z's sister-in-law can be:
- The spouse of Z's sibling (so the husband of H, since H is married to C's son, H's husband is Z's brother-in-law).
- The sister of Z's spouse (if Z is married).
- Z's sibling's spouse, or Z's spouse's sister. In typical Indian relationship reasoning (or standard blood relation tests), the sister of one's sibling's spouse or the sister of one's spouse can be considered. Let's look at H's husband. H is married to a son of C and E. The children of C and E are S (female), T, and the husband of H. Since H is married to C's son, H's husband's sister is S (and possibly T if T is female).
For Z, Z's sister is H. H's sister-in-law is the sister of H's husband, which is S (husband's sister is sister-in-law to H). The question asks: "who among the following is sister-in-law of Z?".
Let's trace the relation of Z to the rest of the family through H:
H is married to C's son (let's call him X_husband). H and X_husband are husband and wife.
Since Z is the sister of H, Z is the sister-in-law of H's husband (X_husband).
S is the sister of H's husband (since C and E are parents of both S and H's husband).
Therefore, S is the husband's sister of H, making S a sister-in-law of H. For Z (sister of H), S is the sister of Z's brother-in-law (H's husband), and in extended terms or standard test options, S is the sister-in-law of H, and the question asks for the sister-in-law of Z which is S (since Z's sister H is married into the family of S, making the females of both families sisters-in-law in extended contexts, or specifically S is the sister-in-law of H, and S is also related as sister-in-law). Let's verify with the option: S is the correct sister-in-law.

Therefore, S is the sister-in-law of Z.

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