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24 Oct 2014, 09:20
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B
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Difficulty:
35%
(medium)
Question Stats:
70% (01:40) correct
30%
(01:47)
wrong
based on 609
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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.
(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.
11 Nov 2014, 21:44
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Another approach:
let no. of cookies be x.
It is clear from the stem that if the cookies were to be divided equally between L & J, x needs to be even.
(1) x = 3p + 1 ; if p is even, x will be odd and vice versa, hence this is INSUFFICIENT.
(2) x = 2q + 3; x will always be odd, hence cookies cannot be divided equally between L & J. SUFFICIENT.
Answer: B
let no. of cookies be x.
It is clear from the stem that if the cookies were to be divided equally between L & J, x needs to be even.
(1) x = 3p + 1 ; if p is even, x will be odd and vice versa, hence this is INSUFFICIENT.
(2) x = 2q + 3; x will always be odd, hence cookies cannot be divided equally between L & J. SUFFICIENT.
Answer: B
09 Jul 2015, 06:38
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honchos
Can a batch of identical cookies be split evenly between Laurel and Jean without leftovers and without breaking a cookie?
Notice, that the question basically asks whether the number of cookies in the batch is even. If it is, then we'd be able to split the cookies evenly between two persons giving half to each of them.
(1) If the batch of cookies were split among Laurel, Jean and Marc, there would be one cookie left over.
This basically says that the number of cookies is 1 more than a multiple of 3, so it can be 1, 4, 7, 10, ... As you can see it can be even as well as odd. Not sufficient.
(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.
This tells us that x - 3 is even, x being initial number of cookies. So, x must be odd. We cannot split the cookies evenly between two. Sufficient.
Answer: B.
