Question
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: C # D * E; D & F # A * G; I * J # H; G @ L @ K $ I Conclusions: I. A @ I II. G $ H III. I # CSolution
Given Equation: C # D * E; D & F # A * G; I * J # H; G @ L @ K $ I After decoding the signs of the given statement, we get, C > D = E; D β₯ F > A = G; I = J > H; G β€ L β€ K < I After combining, we get: C > E = D β₯ F > A = G β€ L β€ K < I = J > H Conclusions: I. A @ I means A β€ I: False (As, A = G β€ L β€ K < I, so, I > A) II. G $ H means G < H: False (As, G β€ L β€ K < I = J > H, here the relation between G and H can't be determined) III. I # C means I > C: False (As, C > E = D β₯ F > A = G β€ L β€ K < I, here the relation between I and C can't be determined) Therefore, none of the conclusions follow.Β
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