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Which of the following symbols should replace the question mark(?) in the given expression in order to make the expressions
‘H < R’ as well as ‘D ≥ M’ definitely true? D ≥ I ≥ H = S (?) M < P ≤ R
≥
≤
<
>
=
- To ensure 'H < R' is true, S must be less than M. If S is less than or equal to M, and M is already less than or equal to R, H being equal to S maintains 'H < R'.
- To satisfy 'D = M', D should be greater than or equal to M.
- Now consider where the symbol is placed: between S and M.
- Option 1: ‘=’ makes S greater than or equal to M, which ensures D = M but doesn’t ensure H < R.
- Option 2: ‘=’ would make S less than or equal to M, and combined with M < P = R, it ensures both 'H < R' and 'D = M' because of its non-contradiction.
- Option 3: ‘<’ would make S strictly lesser than M; however, this doesn’t help establish 'D = M'.
- Option 4: ‘>’ would contradict the need for H < R.
- Option 5: ‘=’ could imply S equal to M, confusing 'H < R' since this creates potential equality, violating strict inequalities.
Correct Answer: Option 2: ‘=’
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