Question
Statements: L $ W, W * H, H # T, P % T
Conclusions: I. T @ L II. H % L III. W @ T IV. P # W In these questions, symbols $, *, #, % and @ are used with different meaning as follows: ‘X $ Y’ means ‘X is not smaller than Y.’ ‘X * Y’ means ‘X’ is greater than Y’. ‘X # Y’ means ‘X’ is not greater than Y’. ‘X % Y’ means ‘X’ is smaller than Y’. ‘X @ Y’ means ‘X is neither smaller than nor greater than Y.’ Now in each of the following question assuming the given statements to be true, find which of the conclusions given below them is/are definitely true and give your answer accordingly.Solution
given statements: L $ W, W * H, H # T, P % T After converting: L ≥ W , W > H, H ≤ T, P < T After combining: L ≥ W > H ≤ T > P Conclusion a → T @ L → T = L ( L ≥ W > H ≤ T ) , No relationship can be established between T and L so, it is not true. Conclusion b → H % L → H < L ( L ≥ W > H ) it is true. Conclusion c → W @ T → W = T ( W > H ≤ T ) , No relationship can be established between W and T so, it is not true. Conclusion d → P # W → P ≤ W ( W > H ≤ T > P), No relationship can be established between P and W so, it is not true.
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