All projects $($A to G$)$ are $7-$year projects. NPV $=$ Net present value. IRR $=$ internal rate of return. MIRR $=$ modified internal rate of return. PI $=$ profitability index.

Criteria: Project$\_$A Project$\_$B Project$\_$C Project$\_$D Project$\_$E Project$\_$F Project$\_$G

NPV$=$ $$137,083$ $$31,290$ $$6,016$ $$7,647($$$584)$ $$12,521$ $$9,214$

IRR$=31\mathrm{.}80\%48\mathrm{.}34\%12\mathrm{.}03\%11\mathrm{.}30\%9\mathrm{.}94\%26\mathrm{.}79\%37\mathrm{.}87\%$

MIRR$=18\mathrm{.}52\%23\mathrm{.}52\%10\mathrm{.}62\%10\mathrm{.}59\%9\mathrm{.}97\%23\mathrm{.}53\%20\mathrm{.}76\%$

PI$=1\mathrm{.}692\mathrm{.}251\mathrm{.}0401\mathrm{.}0380\mathrm{.}9992\mathrm{.}251\mathrm{.}92$

The discounting rate $($r$)$ is $10\%.$

Which of the following $10$ statements are false$/$incorrect $($there are several, select all that apply$).$ Consider each statement on its own separate from the others listed:

Select $4$ correct answer$($s$)$

Question $15$ options:

If projects A & B are mutually exclusive, projects C and D are also mutually exclusive and projects F and G are also mutually exclusive $($all others are independent$),$ under the NPV rule projects A$,$ D$,$ and F should be undertaken

If only projects E and F are mutually exclusive, under the NPV rule only project A should be taken

If all projects are independent, under the PI rule, all projects should be taken

If all projects are mutually exclusive, under the IRR rule only project B should be taken

If projects A & B are mutually exclusive, projects C and D are also mutually exclusive $($all others are independent$),$ under the IRR rule projects B$,$ C$,$ and G should be undertaken

If all projects are independent, under the NPV rule, projects A$,$ B$,$ C$,$ D$,$ F$,$ and G should be taken