Question
Statements: O @ G % N & A @ I % P; V $ U & Q # A Conclusions:
I. N @ U
II. G % V
III. V # I
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. 'A # B' means 'A is greater than B', 'A @ B' means 'A is smaller than B', 'A $ B' means 'A is not smaller than B', 'A % B' means 'A is not greater than B', 'A & B' means 'A is neither greater than nor smaller than B'.
Solution
Statements: O @ G % N & A @ I % P; V $ U & Q # A Decoded statement: O < G ≤ N = A < I ≤ P; V ≥ U = Q > A Combined Inequalities: O < G ≤ N = A < Q = U ≤ V; V ≥ U = Q > A < I ≤ P Conclusions: I. N @ U means [N < U]: True [As, N = A < Q = U, so, N < U] II. G % V means [G ≤ V]: False [As, G ≤ N = A < Q = U ≤ V, so, G < V] III. V # I means [V > I]: False [As, V ≥ U = Q > A < I, so, no direct relation between V and I] Therefore, only conclusion I is true.
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