Question
Statements: J $ K, K * T, T @ N, N © R
Conclusions: I. J $ T II.R * T III.N $ K IV.R * 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 not greater than Q’. ‘P @ Q’ means ‘P is neither greater than nor equal to Q’. ‘P $ Q’ means ‘P is neither smaller than nor equal to Q’. ‘P % Q’ means ‘P is neither greater than nor smaller than Q’. 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: J $ K, K * T, T @ N, N © R After converting: J > K, K ≤ T , T < N , N ≥ R After combining: J > K ≤ T < N ≥ R Conclusion a → J $ T → J > T ( J > K ≤ T ) No relationship can be established between J and T so, it is not true. Conclusion b → R * T → R ≤ T (T < N ≥ R) No relationship can be established between R and T so, it is not true. Conclusion c → N $ K → N > K ( K ≤ T < N ), it is true. Conclusion d → R * K → R ≤ K (K ≤ T < N ≥ R) No relationship can be established between R and K so, it is not true.
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