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Total Consumers Polled: 305
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27 Jan 2023, 09:44
27 Jan 2023, 09:44
Expert Reply
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Question Stats:
80% (02:04) correct
20% (02:59) wrong based on 5 sessions
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Total Consumers Polled: 305
GRE coffe.jpg [ 37.16 KiB | Viewed 1810 times ]
In a sample of 303 consumers polled, 181 drink coffee, and 133 drink tea. The grey area in the Venn diagram represents the consumers who drink both.
A. The quantity in Column A is greater.
B. The quantity in Column B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given
Attachment:
GRE coffe.jpg [ 37.16 KiB | Viewed 1810 times ]
In a sample of 303 consumers polled, 181 drink coffee, and 133 drink tea. The grey area in the Venn diagram represents the consumers who drink both.
Quantity A |
Quantity B |
The number of consumers polled who consume both coffee and tea |
The number of consumers polled who consume neither coffee nor tea |
A. The quantity in Column A is greater.
B. The quantity in Column B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given
Re: Total Consumers Polled: 305
[#permalink]
18 Feb 2023, 06:52
18 Feb 2023, 06:52
Expert Reply
OE
The number of coffee drinkers plus the number of tea drinkers is equal to 181 + 135, which sums to 316. Because there are only a total of 305 consumers who were surveyed, at least 316 - 305 = 11 consumers must consume both. Thus, in the case where everyone polled drank at least one of the two beverages, there were 11 more consumers of both beverages than of neither beverage. To take the other extreme, assume all 133 tea drinkers also drink coffee. Then, 305 - 181 = 124 consumers would drink neither of the beverages—versus 135 who drank both. Once again, the “both” category exceeds the “neither” category by 11.In fact, this difference of 11 will be constant irrespective of how many consumers fall into the “both” category:
(coffee drinkers + tea drinkers - drinkers of both) + drinkers of neither = 305
(181 + 135 - drinkers of both) + drinkers of neither = 305
316 - drinkers of both + drinkers of neither = 305
drinkers of both - drinkers of neither = 11
Thus, Quantity A will always be n greater than Quantity B. Therefore, Quantity A is greater.
The number of coffee drinkers plus the number of tea drinkers is equal to 181 + 135, which sums to 316. Because there are only a total of 305 consumers who were surveyed, at least 316 - 305 = 11 consumers must consume both. Thus, in the case where everyone polled drank at least one of the two beverages, there were 11 more consumers of both beverages than of neither beverage. To take the other extreme, assume all 133 tea drinkers also drink coffee. Then, 305 - 181 = 124 consumers would drink neither of the beverages—versus 135 who drank both. Once again, the “both” category exceeds the “neither” category by 11.In fact, this difference of 11 will be constant irrespective of how many consumers fall into the “both” category:
(coffee drinkers + tea drinkers - drinkers of both) + drinkers of neither = 305
(181 + 135 - drinkers of both) + drinkers of neither = 305
316 - drinkers of both + drinkers of neither = 305
drinkers of both - drinkers of neither = 11
Thus, Quantity A will always be n greater than Quantity B. Therefore, Quantity A is greater.
gmatclubot
Re: Total Consumers Polled: 305 [#permalink]
18 Feb 2023, 06:52
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