Question
Statements: Q ! X ^ Z @ U # P Conclusions:
I. X @ U II. Q@ P III. Q ! P IV. Z # X In the following questions, the symbols @, ^, %, # and ! used with the following meaning as illustrated below: ‘T ^ U’ means ‘T is not smaller than U’ ‘T@U’ means ‘T is neither smaller than nor equal to U’ ‘T # U’ means ‘T is neither greater than nor equal to U’ ‘T % U means “T is neither greater than nor smaller than T’ ‘T ! U’ means ‘T is not greater than U’ Now, in each of the following questions assuming the given statements to be true, find which of the four conclusions I, II, III and IV is/are definitely true and give your answer accordingly.Solution
Decoded Statement: Q ≤ X ≥ Z > U < P Decoded conclusion: I. X > U II. Q > P III. Q ≤ P IV. Z < X Q ≤ X ≥ Z > U < P X > U. Hence conclusion I is true. Q ≤ X ≥ Z > U < P No relationship can be established between Q and P but it will make a complementary pair. Hence either conclusion II or III is true. Q ≤ X ≥ Z > U < P X ≥ Z. Hence conclusion III is not true.
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