M and N had four children P, Q, R and S. Of them, only P and R were married. They had children X and Y respectively. If Y is a legitimate child of W, which one of the following statements is necessarily FALSE?
- AM is the grandmother of Y
- BR is the father of Y
- CW is the wife of R
- W is the wife of P
Explanation
P's child is X, and R's child is Y (as stated 'they had children X and Y respectively'). Since Y is R's legitimate child and W is also stated to be Y's legitimate parent, W must be R's spouse — NOT P's. So 'W is the wife of P' is necessarily false, while the other statements are all consistent with the given facts (M being Y's grandmother through R, R being Y's father, and W being R's spouse).
Source: GATE ME 2019 Session 1 (Set 1) (2019)
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