Qvault orgo test #8 question 2

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premac

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Anyone else thinks there's a fault in this question?
NaOMe is both strong nucleophile/base, so it could favor both SN2/E2.
What separates SN2 and E2 would be the orbitals, and the molecule is secondary carbon!
This would mean that E2 would be favored, yet the answer says SN2.
 
I wish there was a sticky for all the known wrong answers in all of these. At least the publishers should provide an errata.
 
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