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      Question

      In a certain code language, β€˜A + B’ means

      β€˜A is the mother of B’; β€˜A – B’ means β€˜A is the wife of B’; β€˜A Γ— B’ means β€˜A is the father of B’ and β€˜A Γ· B’ means β€˜A is the sister of B’. Based on the above, how is P related to T if β€˜P + Q βˆ’ R Γ— S Γ· T’?
      A Mother’s mother Correct Answer Incorrect Answer
      B Mother’s sister Correct Answer Incorrect Answer
      C Father’s mother Correct Answer Incorrect Answer
      D Father’s sister Correct Answer Incorrect Answer

      Solution

      • P is mother of Q β†’ P β†’ Q

      • Q is wife of R β†’ R β†’ Q (husband)

      • R is father of S β†’ R β†’ S

      • S is sister of T β†’ S β†’ T

      Now trace P β†’ T :

      • P β†’ Q β†’ R β†’ S β†’ T

      • Relationships:

      1. P is mother of Q

      2. Q is wife of R β†’ Q and R are married

      3. R is father of S β†’ R + Q = parents of S

      4. S is sister of T β†’ S and T have the same parents

      • So S and T are siblings (children of R and Q)

      • P is mother of Q, so P is mother-in-law of R , grandmother of S

      • Therefore, P is grandmother of S , and since S and T are siblings, P is also grandmother of T

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