Question
Statements: P # B, Q $ B, B @ J, J % F
Conclusions: I. F # B II. F @ B III. P # J IV. Q $ F In these questions, symbols $, *, #, % and @ are used with different meaning as follows: ‘X $ Y’ means ‘X is not smaller than Y.’ ‘X * Y’ means ‘X’ is greater than Y’. ‘X # Y’ means ‘X’ is not greater than Y’. ‘X % Y’ means ‘X’ is smaller than Y’. ‘X @ Y’ means ‘X is neither smaller than nor greater than Y.’Solution
given statements: P # B, Q $ B, B @ J, J % F After converting: P ≤ B , Q ≥ B, B = J , J < F After combining: P ≤ B ≤ Q , B = J < F Conclusion a → F @ B → F = B ( B = J < F ) , it is not true but it will make an either case with conclusion d. Conclusion b → P # J → P ≤ J ( P ≤ B = J ) it is true. Conclusion c → Q $ F → Q ≥ F (Q ≥ B = J < F), No relationship can be established between Q and F so, it is not true.
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