Question

Study of 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) K & F
• 
  B) B # G
• 
  C) B $ K

Conclusions:

• 
  I. B # F
• 
  II. G # F
• 
  III. G % K

• 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

Hint:

Always translate symbols into mathematical relations, then substitute from known equalities (like B = K) to evaluate others.

Answer 1

The Correct Option is A

From Statement C: B \$ K ⇒ B = K
From Statement A: K \& F ⇒ K>F ⇒ B>F \Rightarrow Conclusion I is true
From Statement B: B \# G ⇒ B ≤ G ⇒ K ≤ G ⇒ G ≥ K \Rightarrow Conclusion II is true
Conclusion III: G % F ⇒ G<F (Cannot be confirmed — G>F from above) ⇒ False