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Discussion

Statement:

I & J, V * W, K % V, J @ K, L & M, K % L

Conclusion:

(a) I % W (b) L @ W (c) M $ J (d) I * V

  • A.Conclusion (a), (d) Only
  • B.Conclusion (c) Only
  • C.Conclusion (b) and (c) Only
  • D.Conclusion (a) and (c) Only
  • E.None of these

Answer: B

Correct answer: Conclusion (c) Only

This set’s code reads \(\&\) as “not greater than”, so \(\le\); \(*\) as “not smaller than”, so \(\ge\); \(\%\) as “neither greater than nor equal”, so \(<\); \(\$\) as “neither smaller than nor equal”, so \(>\); and \(@\) as \(=\). The statements become \( I \le J \), \( V \ge W \), \( K < V \), \( J = K \), \( L \le M \) and \( K < L \).

(c) \( M > J \): J equals K, and \( K < L \le M \), so \( M > K = J \). True.

(d) \( I \ge V \): the chain gives \( I \le J = K < V \), so \( I < V \). Definitely false - the comparison can be made and comes out the other way.

(a) \( I < W \): I sits below K, and W below V, with \( K < V \) joining the two groups from below. V is a high point, so I and W are not ordered. Not determined.

(b) \( L = W \): L stands above K and W below V, and nothing pins them together. Not determined.

Only (c) follows.

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