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Grant
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B) !

1) x=6 YES x=11 NO => insuff
2) x=11 NO x=21 NO x=101 NO => suff
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How can 1) be sufficient?
7/5= remainder of 2
8/5= remainder of 3
12/5=remainder of 2
13/5= remainder of 3
hence we cannot ditermine whether the number is odd or even
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I think it's (B).

1) x divided by 5 gives an odd remainder

That is, x = 5*y + odd number.
If y = 1, then x = 5 + 1 (divisible by 2)
If y = 2, then x = 10 + 1 (not divisible by 2)

2) x divided by 10 gives an odd remainder

That is, x = 10*y + odd number.
If y = 1, then x = 10 + 1 (not divisible by 2)
If y = 2, then x = 20 + 1 (not divisible by 2)

Besides, 10 is even and if x/10 leaves an odd remainder, then x is not divisible by 2 anyway.



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