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Question

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.

Statements: R © K, K * N, N $ J, J % H

Conclusions:      I.R $ N                   II.J @ K                                III.H @ N             IV.K $ H

A Only I and II is true Correct Answer Incorrect Answer
B Only III is true Correct Answer Incorrect Answer
C Only IV is true Correct Answer Incorrect Answer
D All are true Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

given statements:  R © K, K * N, N $ J, J % H After converting: R ≥ K, K ≤ N , N > J , J = H After combining: R ≥ K ≤ N > J = H Conclusion a → R $ N → R > N ( R ≥ K ≤ N ) No relationship can be established between R and N so, it is not true. Conclusion b → J @ K → J < K ( K ≤ N > J ) No relationship can be established between J and K so, it is not true. Conclusion c → H @ N → H < N (N > J = H ) , it is true. Conclusion d → K $ H → K > H ( K ≤ N > J = H), No relationship can be established between K and H so, it is not true.

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