In a certain code, ‘#’ means ‘≥’, ‘%’ means ‘>’, ‘*’ means ‘<’, ‘$’ means ‘≤’ and ‘@’ means ‘=’.
Statements: A @ B, B $ N, N % H, H # G
Conclusions:
I. G * N
II. N # A
III. B * A
Which of the conclusions follow from the statements?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Only I and II
Decode the statements and join them into one chain. A conclusion follows only when the chain fixes it; a strict sign (> or <) appears in the result as soon as one link in the path is strict.
A @ B, B $ N, N % H, H # G decode to A = B, B ≤ N, N > H, H ≥ G
Chain: A = B ≤ N > H ≥ G
So the conclusions are checked against A = B ≤ N > H ≥ G.
Checking the conclusions
I. G * N, that is, G < N. Correct. From N > H ≥ G, N is greater than G, because the link N > H is strict.
II. N # A, that is, N ≥ A. Correct. From A = B ≤ N, A is at most N, so N ≥ A.
III. B * A, that is, B < A. Incorrect. The first statement gives A = B, so B cannot be less than A.