In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and then give your answer accordingly. (Note: Statements and Conclusions are coded as given below). In a certain code, 'A $ B' means A is smaller than
B. 'A @ B' means A is smaller than equal to
B. 'A * B' means A is neither greater nor smaller to
B. 'A # B' means A is greater than
B. 'A & B' means A is greater than equal to
B. Statements: F $ G @ A; C * D $ H @ E; A & I # B # C; E * K # J & L Conclusions:
I. D $ A
II. K # G
III. C * J

Given Equation: F $ G @ A; C * D $ H @ E; A & I # B # C; E * K # J & L After decoding the signs of the given statement, we get, F < G ≤ A; C = D < H ≤ E; A ≥ I > B > C; E = K > J ≥ L After combining, we get: F < G ≤ A ≥ I > B > C = D < H ≤ E = K > J ≥ L Conclusions: I. D $ A means D < A: True (As, A ≥ I > B > C = D, here A > D) II. K # G means K > G: False (As, G ≤ A ≥ I > B > C = D < H ≤ E = K, here the relation between K and G can't be determined) III. C * J means C = J: False (As, C = D < H ≤ E = K > J, here the relation between C and J can't be determined) Therefore, only conclusion I is true.