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Which of the following symbols should replace the question mark(?) in the given expression in order to make the expressions ‘P>A’ as well as ‘T<L’ definitely true?

P > L ? A > = N = T

  • A.<=
  • B.>
  • C.<
  • D.>=
  • E.Either <=or<

Answer: D

Correct answer: >

The expression is \( P > L \;?\; A \ge N = T \), and both \( P > A \) and \( T < L \) must be definitely true. Test the keyed symbol first. With \(\ge\) the line reads \( P > L \ge A \ge N = T \). That does give \( P > A \), but for the second requirement it gives only \( T = N \le A \le L \), that is \( T \le L \); taking \( L = A = N = T \) satisfies every statement while making \( T < L \) false, so \(\ge\) fails. With \(>\) the line reads \( P > L > A \ge N = T \). Now \( P > L > A \) gives \( P > A \), and \( T \le A < L \) gives \( T < L \) - both hold, and the answer is \(>\). The remaining choices reverse the chain at L: \(<\) or \(\le\) leaves P and A unrelated, since both would then sit above L rather than in a single chain.

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