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DIRECTIONS: In the Mowing questions, the symbols @ \[\mathbb{C}\] \[\$\] % and # are used with the following meanings as illustrated below: 'A \[\$\] B* means 'A is not smaller than B' 'A # B' means 'A' is not smaller than B' 'A@ B' means 'A is neither smaller than nor equal to B' 'A\[\mathbb{C}\]B' means 'A is equal to B' 'A % B' means 'A' is neither greater than nor equal to B' Now in each of the following questions, assuming the given statement to be true, find which of the three conclusions. I, II and III given below then is/are definitely true and give your answer accordingly. Clearly, we have \[A\,\$\,B\Rightarrow AB\Rightarrow A\le  B.\] \[AB\Rightarrow A<B\,\text{and}\,A\#B\Rightarrow A>B,\] \[A\,\mathbb{C}\,B\Rightarrow A>B\,\text{and }A\#B\Rightarrow A<B.\] Statements: M @ J, J \[\$\] T, T \[\mathbb{C}\] N Conclusion: I. N # J II. T % M III. M @ N

A) Only I and III are true

B) Only II is true

C) Only II and III are true

D) I, II and III all are true