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Why the answer cannot be C?
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Why the answer cannot be C?

Hello

If you check the above two solutions, first statement is sufficient to answer the question asked. Second statement is not sufficient on its own to answer.

when one or more of the statements is sufficient to answer the question, then we do NOT combine the statements. Statements have to be combined only when none of the statements is sufficient on its own to answer the question.

Thus the answer is A.
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Bunuel
At a local coffee shop, pastries may have nuts, chocolate, both, or neither. If 400 pastries were sold Friday, and if of those, 60% contained chocolate how many of those sold contained only nuts?

(1) The number of pastries containing neither is one-fourth of the number containing chocolate.

(2) One third of pastries sold containing chocolate also contained nuts.

Answer: A.

Please see the attachment!
Attachments

File comment: c-coffee
nc-not coffee
n-nuts
nn-not nuts
x - desired value.

Nuts&Choco.jpeg
Nuts&Choco.jpeg [ 589.41 KiB | Viewed 5150 times ]

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This is Venn Diagram question.
Given, Universal set U = 400
Chocolate C = 0.6 * 400 = 240
N = nuts
To find : N-C

S1: not(C u N) = 0.25 * C = 60
now, C u N = 400-60 = 340
therefore, N-C = 340 - C = 100
Sufficient

S2: only information about the distribution in set C is given. i.e. C-N = 160, C intersection N = 80.
So, not sufficient.

Ans A
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