Question
Statements: J # Q, Q * D, D % P, P $ Y
Conclusions: I. Q * Y II. P *Y III. Y @ P IV. P # Q 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: J # Q, Q * D, D % P, P $ Y After converting: J ≤ Q , Q > D, D < P , P ≥ Y After combining: J ≤ Q > D < P ≥ Y Conclusion a → Q * Y → Q > Y ( Q > D < P ≥ Y ) , No relationship can be established between Q and Y so, it is not true. Conclusion b → P * Y → P > Y ( P ≥ Y) it will make an either case, and conclusion III also is true. Conclusion d → P # Q → P ≤ Q ( Q > D < P ), No relationship can be established between P and Q so, it is not true.
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