Directions: Study the following questions carefully and choose the...

In order to make the given conclusions ' W = F' and ' P > Y' definitely true, we have to apply all the given symbols in the options one by one.

For option A: >

M > W = P& >& F ≥& T > Y

Here, the common sign between W and F is '>', thus it& does not follow W = F.

The common sign between P and Y is also '>' , thus it& follows& P > Y.

Since, we need a symbol which will follow both the conclusions simultaneously, option A gets eliminated.

For option B: <

M > W = P& <& F ≥& T > Y

Here, the common sign between W and F is '<', thus it& does not follow W = F.

Here, there are opposite signs between P and Y . Thus, no relationship can be established between them.

Hence, it& does not follow& both the conclusions.

For option C:& ≥

M > W = P& ≥& F ≥& T > Y

Here, the common sign between W and F is '≥', thus it& does not follow W = F solely.

Here, the common sign between P and Y is '>', thus it& follows& P > Y.

Since, we need a symbol which will follow both the conclusions simultaneously, option C gets eliminated.

For option D: =

M > W = P& =& F ≥& T > Y

Here, the common sign between W and F is '=', thus it& follows& W = F.

Here, the common sign between P and Y is '>', thus it& follows P& > Y.

Since both the conclusions follow simultaneously by using '=' symbol.

Hence option D is correct.