Given the following relationships:

- $X@Y$ 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*

Statements:

- $V$A+B$
- $E&T$
- $C#S*T$
- $B@H%C$E$

If $K*B$, $N$K$, $M#N$, then how is B’s brother-in-law related to V’s son-in-law?

Question

Given the following relationships:

- $X@Y$ 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*

Statements:

- $V$A+B$
- $E&T$
- $C#S*T$
- $B@H%C$E$

If $K*B$, $N$K$, $M#N$, then how is B’s brother-in-law related to V’s son-in-law?

Accepted Answer

**Solution:**

1. Decode the given symbols:
   - $X@Y$: X is son of Y
   - $X#Y$: X is mother of Y
   - $X$Y$: X is spouse of Y
   - $X%Y$: X is daughter-in-law of Y
   - $X*Y$: X is sister of Y
   - $X&Y$: X is father of Y
   - $X+Y$: X is grandmother of Y

2. From the statements:
   - $V$A+B$: V is spouse of A, and A is grandmother of B.
   - $E&T$: E is father of T.
   - $C#S*T$: C is mother of S, and S is sister of T.
   - $B@H%C$E$: B is son of H, H is daughter-in-law of C, and C is spouse of E.

3. Additional information:
   - $K*B$: K is sister of B.
   - $N$K$: N is spouse of K.
   - $M#N$: M is mother of N.

4. We need to find how B’s brother-in-law is related to V’s son-in-law.

5. Identify B’s brother-in-law:
   - B’s sister is K.
   - K’s spouse is N.
   - Therefore, N is B’s brother-in-law.

6. Identify V’s son-in-law:
   - V is spouse of A.
   - A is grandmother of B.
   - B is son of H.
   - H is daughter-in-law of C and spouse of E.
   - Since H is daughter-in-law of C and spouse of E, E is father-in-law of H.
   - V and A are grandparents, so their son-in-law is likely H (since H is daughter-in-law to C, but V and A are grandparents to B).

7. Since N is spouse of K (B’s sister), and K is sibling of B, N is brother-in-law to B.

8. Now, how is N related to H (V’s son-in-law)?
   - N is spouse of K (B’s sister).
   - B is son of H.
   - So, N is son-in-law of H’s sibling (since K is B’s sister, and B is son of H).

9. Therefore, N is son-in-law related to V’s son-in-law.

**Answer:** (b) Son-in-law

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