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.
A Only I is true
B Only III is true
C Only IV is true
D Only either III or IV is true
E Only either III or II and I are true
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