In a certain code language, X + Y means ‘X is the sister of Y’, X − Y means ‘X is the son of Y’, X × Y means ‘X is the husband of Y’, X ÷ Y means ‘X is the mother of Y’. Based on the above, how is T related to X if ‘T + U − V × W ÷ X’?

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Accepted Answer

Let's analyze the expression step-by-step:

Expression: T + U − V × W ÷ X

Given meanings:
+ means 'is sister of'
− means 'is son of'
× means 'is husband of'
÷ means 'is mother of'

Step 1: T + U means T is sister of U.
Step 2: U − V means U is son of V.
Step 3: V × W means V is husband of W.
Step 4: W ÷ X means W is mother of X.

Now, let's find the relation between T and X:
- From Step 4, W is mother of X.
- From Step 3, V is husband of W, so V is father of X.
- From Step 2, U is son of V, so U is son of father of X, meaning U is sibling of X.
- From Step 1, T is sister of U, so T is sister of sibling of X.

Since U is son of V (father of X), U is brother of X.
T is sister of U, so T is sister of X's brother.
Therefore, T is sister of X's father or mother?

Wait, U is son of V (father of X), so U is sibling of X (both children of V and W).
T is sister of U, so T is sibling of U and thus sibling of X.

But the question is how T is related to X.

Re-examining:
- W is mother of X.
- V is husband of W, so V is father of X.
- U is son of V, so U is son of father of X.
- T is sister of U.

Since U is son of V (father of X), U is sibling of X (assuming same mother W).
T is sister of U, so T is sibling of U, thus sibling of X.

But the options do not include 'sister' directly related to X, only 'sister' (option 2) and 'father's sister' (option 3).

Since T is sister of U, and U is son of V (father of X), T is daughter of V (father of X), so T is sibling of X.

But the question is how T is related to X.

If T is sister of U, and U is son of V, then T is daughter of V, so T is sibling of X.

But the expression is T + U − V × W ÷ X.

The operations are left to right:
- T + U: T is sister of U
- U − V: U is son of V
- V × W: V is husband of W
- W ÷ X: W is mother of X

So, T is sister of U, U is son of V, V is husband of W, W is mother of X.

Therefore, V and W are parents of X.
U is son of V, so U is son of father of X.
T is sister of U, so T is daughter of father of X.

Hence, T is sibling of X.

Since T is sister of U, and U is son of V, T is daughter of V, so T is sibling of X.

Therefore, T is sister of X.

Option 2 is 'Sister'.

Hence, the correct answer is option 2: Sister.

Answer

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