Which of the following symbols should replace (1) and (2) respectively in the given expression in order to make the expression N > P definitely true?

A > B ≥ U = L (2) P; N ≥ I (1) R ≥ H = B

Solution

Given expression: A > B ≥ U = L (2) P; N ≥ I (1) R ≥ H = B On combining, N ≥ I (1) R ≥ H = B ≥ U = L (2) P 1) N ≥ I ≥ R ≥ H = B ≥ U = L = P                 N ≥ P. Hence option 1 is not correct. 2) N ≥ I ≤ R ≥ H = B ≥ U = L = P                 No relationship can be established between N and P. Hence option 2 is not correct. 3) N ≥ I = R ≥ H = B ≥ U = L < P                 No relationship can be established between N and P. Hence option 3 is not correct. 4) N ≥ I > R ≥ H = B ≥ U = L = P                 N > P. Hence option 4 is correct.