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If \(M\) and \(N\) are integers, is \(\dfrac{10^M + N}3\) an integer?

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Re: If \(M\) and \(N\) are integers, is \(\dfrac{10^M + N}3\) an integer?

by DHRJ007 » Fri Oct 02, 2020 1:56 am

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1) M can be any integer coz 10/3 will always leave 1 as remainder.
since N=5 then 5/3 leaves 2 as remainder.
so 1+2/3 will leave NO remainder.
so the whole expression will be an integer.
SUFFICIENT.

2)with changing values of N, we will get different remainders.
so INSUFFICIENT.

IMO
ANS: A
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