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Of the N candies in a bag, some are peppermint and the rest

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Of the N candies in a bag, some are peppermint and the rest

by BTGmoderatorDC » Sun Sep 01, 2019 2:02 am

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Of the N candies in a bag, some are peppermint and the rest are spearmint.What is the value of N?

(1) If 1 peppermint candy were removed from the N candies,1/5 of the remaining candies would be peppermint.

(2) If 2 spearmint candies were removed from the N candies, 1/4 of the remaining candies would be peppermint.

OA C

Source: GMAT Prep
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Sun Sep 01, 2019 9:08 pm

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Your Answer

A

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C

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BTGmoderatorDC wrote:Of the N candies in a bag, some are peppermint and the rest are spearmint. What is the value of N?

(1) If 1 peppermint candy were removed from the N candies,1/5 of the remaining candies would be peppermint.

(2) If 2 spearmint candies were removed from the N candies, 1/4 of the remaining candies would be peppermint.

OA C

Source: GMAT Prep
Say there are P peppermints and S spearmints. Thus, we have N = P + S

Let's take each statement one by one.

(1) If 1 peppermint candy were removed from the N candies,1/5 of the remaining candies would be peppermint.

(N - 1)/5 = P => N = 5P + 1. Can't get the unique answer. Insufficient.

(2) If 2 spearmint candies were removed from the N candies, 1/4 of the remaining candies would be peppermint.

(N - 2)/4 = P => N = 4P + 2. Can't get the unique answer. Insufficient.

(1) and (2) together

From N = 5P + 1 and N = 4P + 2, we have 5P + 1 = 4P + 2 => p = 1 => N = 6. Sufficient

The correct answer: C

Hope this helps!

-Jay
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