Question bank/JEE Main/Mathematics

n is selected from the set [IMAGE] and the number
[IMAGE] is formed. Total number of ways of selecting n so
that the formed number is divisible by 4 is equal to

A50B49C48D51

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If n odd. [IMAGE] is divisible by 4 if n > 2 Thus,
[IMAGE] i.e., n can take 49 different values. If n is
even, [IMAGE] is not divisible
by 4 as [IMAGE] will be in the form of
[IMAGE] Thus, the total number of ways of selecting
is equal to

Source: Grass-G / M-10 Mathematics Paper-1 30 Oct.docx