Question
Statements: Q $ W, W % E, E @ K Conclusions: a)
Q $ K     b) W @ K In the following questions, the symbols @, #, %, $ and * are used with the following meaning as illustrated below.  ‘P @ Q’ means ‘P Is not smaller than Q’  ‘P # Q’ means ‘P is neither smaller than nor equal to Q’  ‘P % Q’ means ‘P is neither smaller than nor greater than Q’  ‘P $ Q’ means ‘P is not greater than Q’  ‘P * Q’ means ‘P is neither greater than nor equal to Q’ Now in each of the following the questions assuming the given statements to be true, find which of the two conclusions a and b given below is/are definitely true?Solution
Explanation : Q $ W, W % E, E @ K → Q ≤ W, W = E, E ≥ K → Q ≤ W = E ≥ K  Conclusion a → Q $ K → Q ≤ K The relation between Q and K in the statement Q ≤ W = E ≥ K : Q = K or Q > K or Q < K. So, it is not true. Conclusion b → W @ K → W ≥ K The relation between W and K in the statement Q ≤ W = E ≥ K : W ≥ K. So, it is true.
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