A company is appraising two projects. Project X has a positive NPV at a zero discount rate and project Y has a negative NPV$.$ Project X has two internal rates of return of $12\%$ and $27\%.$ Project Y has two internal rates of return of $9\%$ and $18\%.$ The company's cost of capital is $20\%.$

Which is the correct combination of decisions concerning projects X and Y$?$

Option A

Reject Project X$,$ but accept Project Y

Option B

Accept both projects X and Y

Option C

Reject both projects

Option D

Accept Project X$,$ but reject Project Y