JCLEONES
Can a batch of identical cookies be split evenly between Laurel and Jean without leftovers and without breaking a cookie?
(1) If the batch of cookies were split among Laurel, Jean and Marc, there would be one cookie left over.
(2) If Peter eats three of the cookies before they are split, there will be no leftovers when the cookies are split evenly between Laurel and Jean.
Let total cookies = C.
We need to know if C is an exact multiple of 3 or C=2k.
S_1 says C = 3m + 1. C could be 4, 7,10,13,16....So not sufficient.
S_2 says C-3 = 2x ==> C = 2x + 3 = 2(x+1) + 1. Hence C could be 5,7,9,13,15....Sufficient. Because C will never be an exact multiple of 2 and will always have a residual 1.
Answer - B
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