The solution of linear in equalities $x+y\ge 5$ and $x-y\le 3$ lies:

If $\alpha , \beta ,$ and $\gamma$ are the zeros of the polynomial $f\left(x\right) = a{x}^3+b{x}^2+cx+d$, then ${\alpha }^2+{\beta }^2+{\gamma }^2$ is equal to

Direction: Consider the following for the next 04 (four) items that follow:

In an examination of Class XII, $55\%$ of students passed in Biology, $62\%$ passed in Physics, $60\%$ passed in Chemistry, $25\%$ passed in Physics and Biology, $30\%$ passed in Physics and Chemistry, $28\%$ passed in Biology and Chemistry. Only $2\%$ failed in all the subjects.

What percentage of students passed in all three subjects?

Direction: Consider the following for the next 04 (four) items that follow:

In an examination of Class XII, $55\%$ of students passed in Biology, $62\%$ passed in Physics, $60\%$ passed in Chemistry, $25\%$ passed in Physics and Biology, $30\%$ passed in Physics and Chemistry, $28\%$ passed in Biology and Chemistry. Only $2\%$ failed in all the subjects.

What percentage of students passed in exactly one subject?

Direction: Consider the following for the next 04 (four) items that follow:

In an examination of Class XII, $55\%$ of students passed in Biology, $62\%$ passed in Physics, $60\%$ passed in Chemistry, $25\%$ passed in Physics and Biology, $30\%$ passed in Physics and Chemistry, $28\%$ passed in Biology and Chemistry. Only $2\%$ failed in all the subjects.

If the number of students is $360$, then how many passed in at least two subjects?

Direction: Consider the following for the next 04 (four) items that follow:

In an examination of Class XII, $55\%$ of students passed in Biology, $62\%$ passed in Physics, $60\%$ passed in Chemistry, $25\%$ passed in Physics and Biology, $30\%$ passed in Physics and Chemistry, $28\%$ passed in Biology and Chemistry. Only $2\%$ failed in all the subjects.

What is the ratio of number of students who passed in both Physics and Chemistry to number of students who passed in both Biology and Physics but not Chemistry?