I'm having trouble answering 14, 16 and 18 correctly for this problem. Could you please explain how you arrived at the correct answer?
Thanks!
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- sarahhaque
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Vinny Gambini
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Atticus Finch
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Re: E42, S1, G3 - A bakery makes exactly three kinds of cookie
Sure...
14. Essentially asks "How many of the days can have AT MOST two batches?"
Using Dan's diagram from above, we can see at a glance that Monday is the only day prohibited from making more than two batches, so the answer is one. (A)
Dan was able to make this inference on his diagram with the third constraint, that the 2nd batch of oatmeal is made on the same day as the first batch of peanut butter. This means that peanut butter cannot be made on Monday.
16. Again, that third constraint is a big help in this one. Look at Dan's diagram again. He's really symbolized it nicely: O -- OP -- O. The thing we need to remember on this problem is that we've got two more Ps to place, and they must follow the P above. The earliest possible day for the OP pair is Tuesday. Wednesday cannot be used in this problem, so that leaves Thursday and Friday to place the remaining O and two Ps. Since each of those days already has an S, we know that one of Thursday/Friday will have 2 cookies and one will have 3.
Thus the answer is (D).
Note that the remaining S can go on either Monday or Tuesday, thus we can eliminate (A), (C), and (E) quite quickly.
18. Interpret the question and make the necessary inferences before you look at the choices. If one cookie's first batch is on another's third batch...
Well, we know the first O cannot be on the same day as any other cookie's third (S's third is on Friday, and P's first is on O's second). The earliest day that P's first batch can be made is Tuesday, thus the earliest day P's third batch can be made is Thursday, which cannot be S's first batch because it's got to S's second batch.
Thus, we know that the only way to do this is to put S's first batch with O's third batch. And the only way to do this is to them together on Wednesday. So our diagram will look something like this:
M O
T O P
W O S
Th S
F S
The only thing left to do is place the remaining two Ps. They can go on either W, Th, or F.
The only answer choice that COULD be FALSE is (E), as Friday could have two batches.
Are you able to see that?
14. Essentially asks "How many of the days can have AT MOST two batches?"
Using Dan's diagram from above, we can see at a glance that Monday is the only day prohibited from making more than two batches, so the answer is one. (A)
Dan was able to make this inference on his diagram with the third constraint, that the 2nd batch of oatmeal is made on the same day as the first batch of peanut butter. This means that peanut butter cannot be made on Monday.
16. Again, that third constraint is a big help in this one. Look at Dan's diagram again. He's really symbolized it nicely: O -- OP -- O. The thing we need to remember on this problem is that we've got two more Ps to place, and they must follow the P above. The earliest possible day for the OP pair is Tuesday. Wednesday cannot be used in this problem, so that leaves Thursday and Friday to place the remaining O and two Ps. Since each of those days already has an S, we know that one of Thursday/Friday will have 2 cookies and one will have 3.
Thus the answer is (D).
Note that the remaining S can go on either Monday or Tuesday, thus we can eliminate (A), (C), and (E) quite quickly.
18. Interpret the question and make the necessary inferences before you look at the choices. If one cookie's first batch is on another's third batch...
Well, we know the first O cannot be on the same day as any other cookie's third (S's third is on Friday, and P's first is on O's second). The earliest day that P's first batch can be made is Tuesday, thus the earliest day P's third batch can be made is Thursday, which cannot be S's first batch because it's got to S's second batch.
Thus, we know that the only way to do this is to put S's first batch with O's third batch. And the only way to do this is to them together on Wednesday. So our diagram will look something like this:
M O
T O P
W O S
Th S
F S
The only thing left to do is place the remaining two Ps. They can go on either W, Th, or F.
The only answer choice that COULD be FALSE is (E), as Friday could have two batches.
Are you able to see that?
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- sarahhaque
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Vinny Gambini
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Re: E42, S1, G3 - A bakery makes exactly three kinds of cookie
Yes, it's much clearer now! Thanks so much for your explanation! 
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- ManhattanPrepLSAT1
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Atticus Finch
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