I would go further than the other posters on this thread - sorry, this question and the answer given are just plain WRONG.

See this MSDN blog entry which clearly explains log sizes in different modes:

http://blogs.msdn.com/b/suhde/archive/2010/12/29/transaction-log-backup-size-in-bulk-logged-recovery-model.aspx

The LOG FILE BACKUP is certainly likely to be larger.

The LOG FILE (subsequent to backup) is almost certainly SMALLER given that it is not doing point in time restore.

I will accept that the question could have been mangled unintentionally in the editorial prcess or something - but, the fact remains, the correct answer to the question as written is NO.