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Raemi
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GMAT Club Olympics 2024 (Day 8): Emily visited five different 20 May 2025, 09:27
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The language is confusing.

So instead of the same total amount at any three of the five restaurants, which sounds like individual totals, they mean "the same combined total of 3 of the 5 restaurants". So if you combine 3 of any of the totals, the combined total will be the same.

a+b+c = b+c+d = c+d+e = a+c+e and so forth...
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Bunuel
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GMAT Club Olympics 2024 (Day 8): Emily visited five different 20 May 2025, 09:30
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Raemi
The language is confusing.

So instead of the same total amount at any three of the five restaurants, which sounds like individual totals, they mean "the same combined total of 3 of the 5 restaurants". So if you combine 3 of any of the totals, the combined total will be the same.

a+b+c = b+c+d = c+d+e = a+c+e and so forth...
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I do not agree. The original statement clearly says:

"She spent the same total amount at any three of the five restaurants."

That clearly means the sum of any three of the five amounts is the same, not that each restaurant's individual amount is the same across three restaurants.
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GMAT Club Olympics 2024 (Day 8): Emily visited five different 20 May 2025, 20:23
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There where the amount, when arranged in increasing order, may yield different answers
For Example
a,x,x,x,b
a,b,x,x,x
Therefore the first statement is insufficient.
Bunuel
­

GMAT Club Official Explanation:



Emily visited five different restaurants in Paris last week, spending some non-zero amounts at each. Did she spend more than the median amount at any of the five restaurants?

(1) She spent the same total amount at any three of the five restaurants.

This implies that all amounts must be equal. If this were not true, then at least two of the amounts would have been different, say x < y. In this case, the sum of two amounts plus x would be less than the sum of the same two amounts plus y, making the statement false. Therefore, all amounts must be equal. Consequently, Emily did not spend more than the median amount at any of the five restaurants. Sufficient.

­(2) She did not spend less than the average (arithmetic mean) amount at any of the restaurants.

This implies that she also did not spend more than the average amount at any of the restaurants. Therefore, all amounts must be equal. Consequently, Emily did not spend more than the median amount at any of the five restaurants. Sufficient.

Answer: D.­
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GMAT Club Olympics 2024 (Day 8): Emily visited five different 20 May 2025, 23:42
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Agarwal2003
There where the amount, when arranged in increasing order, may yield different answers
For Example
a,x,x,x,b
a,b,x,x,x
Therefore the first statement is insufficient.
Bunuel
­

GMAT Club Official Explanation:



Emily visited five different restaurants in Paris last week, spending some non-zero amounts at each. Did she spend more than the median amount at any of the five restaurants?

(1) She spent the same total amount at any three of the five restaurants.

This implies that all amounts must be equal. If this were not true, then at least two of the amounts would have been different, say x < y. In this case, the sum of two amounts plus x would be less than the sum of the same two amounts plus y, making the statement false. Therefore, all amounts must be equal. Consequently, Emily did not spend more than the median amount at any of the five restaurants. Sufficient.

­(2) She did not spend less than the average (arithmetic mean) amount at any of the restaurants.

This implies that she also did not spend more than the average amount at any of the restaurants. Therefore, all amounts must be equal. Consequently, Emily did not spend more than the median amount at any of the five restaurants. Sufficient.

Answer: D.­
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You are wrong. Please read the entire thread before posting your doubts. Chances are they have already been addressed. This will save both your time and others'.
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GMAT Club Olympics 2024 (Day 8): Emily visited five different 21 May 2025, 08:41
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By any three it means that whatever three restaurants you pick from the five, she spent the same amount in all of them. So pick restaurants A,B,C? She spent 20. B,C,D? She spent 20. A,D,E? She spent 20. This means that she didn't spend more than the median in any of them thus sufficiently answering the question with a "no". Hope this helps<3
jack5397
IMO - B

St:1. She spent the same total amount at any three of the five restaurants.

Case 1 - A,x,x,x,B - Yes
Case 2 - x,x,x,A,B - Yes
Case 3 - A,B,x,x,x - No . hence insufficient.

St:2 She did not spend less than the average (arithmetic mean) amount at any of the restaurants.

This simply means all the values are equal and you cannot have any value less than mean. Hence sufficient -- Gives No as a answer
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