Question

Study the given symbols:

A @ B means A is not smaller than B.
A # B means A is not greater than B.
A & B means A is neither smaller than nor equal to B.
A % B means A is neither greater than nor equal to B.
A $ B means A is neither smaller than nor greater than B.

Statements: A) S & W
B) T $ Z
C) W @ T

Conclusions:

Z # W
T % S
S & Z

• A. Both conclusions I and II are true
• B. Both conclusions II and III are true
• C. Both conclusions I and III are true
• D. All the conclusions I, II, and III are true \textbf{Correct Answer:} (4) All the conclusions I, II, and III are true

Hint:

Use the equality or inequality from one statement to infer the next. Track the implied relationships in a chain to validate the conclusions.

Answer 1

The Correct Option is D

From Statement B: T \$ Z ⇒ T = Z
From Statement C: W @ T ⇒ W ≥ T \Rightarrow W ≥ Z
From Statement A: S \& W ⇒ S>W \Rightarrow S>Z Now evaluate the conclusions: \begin{itemize} \item I. Z \# W ⇒ Z ≤ W (True, since W ≥ Z) \item II. T % S ⇒ T<S (True, since T = Z and S>Z) \item III. S \& Z ⇒ S>Z (True) \end{itemize}