Aspire Faculty ID #16916 · Topic: AMU MCA 2024 · Just now
AMU MCA 2024

If ‘A $ B’ means ‘A is the father of B’, ‘A * B’ means ‘A is the mother of B’, ‘A @ B’ means ‘A is the wife of B’, then which of the following means ‘M is the grandmother of N’?

Solution

M * T ⇒ M is mother of T

T $ R ⇒ T is father of R
So M is grandmother of R ✅

R @ N ⇒ R is wife of N (female), so N is husband of R
This does not make R parent of N. ❌

Check (d) M * R @ T @ N

M * R ⇒ M is mother of R

R @ T ⇒ R is wife of T (so T is husband of R)

T @ N ⇒ T is wife of N (impossible here: T already husband in previous step) ❌

Check (c) M $ R $ T @ N

M $ R ⇒ M is father of R (male) ❌ (grandmother must be female)

So only valid form is (a): M * T $ N @ R

M * T ⇒ M is mother of T

T $ N ⇒ T is father of N
So M is grandmother of N ✅
(Last part “N @ R” just adds N is wife of R, doesn’t break grandmother relation)
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