In the following questions, the symbols +, -, ×, ÷ and = are used as follows.
a = b means a is not equal to b.
a - b means a is neither greater than nor equal to b.
a + b means a is either equal to or greater than b.
a ÷ b means a is neither equal to nor smaller than b.
a × b means a is neither smaller nor greater than b.
Statement: P + Q, Q ÷ R, R - S
Conclusions:
I. R × S
II. P ÷ R
Show answer & explanation
Correct answer: B
Explanation
Decoded Symbols:
• '+' means '≥'
• '-' means '<'
• '×' means '='
• '÷' means '>'
• '=' means '≠'
Given Statements:
• P + Q ⇒ P ≥ Q
• Q ÷ R ⇒ Q > R
• R - S ⇒ R < S
Combining the statements, we get: P ≥ Q > R < S
Checking Conclusions:
• I. R × S ⇒ R = S: Since R < S, R cannot be equal to S. Hence, I does not follow.
• II. P ÷ R ⇒ P > R: Since P ≥ Q > R, it is strictly true that P > R. Hence, II follows.
Therefore, only conclusion II follows.