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In the 30-day month of June, a motorcycle dealership sold a different number of motorcycles each day. If it recorded at

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In the 30-day month of June, a motorcycle dealership sold a different number of motorcycles each day. If it recorded at

by BTGmoderatorDC » Wed May 05, 2021 3:01 pm

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In the 30-day month of June, a motorcycle dealership sold a different number of motorcycles each day. If it recorded at least one sale each day, did the dealership sell at least 525 motorcycles during June?

(1) The smallest number of motorcycles sold on any one day was 3.

(2) The second highest number of motorcycles sold on any one day was 59.


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Re: In the 30-day month of June, a motorcycle dealership sold a different number of motorcycles each day. If it recorded

by swerve » Wed May 05, 2021 6:39 pm

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BTGmoderatorDC wrote: ↑
Wed May 05, 2021 3:01 pm
 In the 30-day month of June, a motorcycle dealership sold a different number of motorcycles each day. If it recorded at least one sale each day, did the dealership sell at least 525 motorcycles during June?

(1) The smallest number of motorcycles sold on any one day was 3.

(2) The second highest number of motorcycles sold on any one day was 59.


OA D

Source: Veritas Prep
Notice that we are told that the dealership sold a different number of motorcycles each day.

From 1, The least number of motorcycles sold in June would be \(3 + 5 + 6 + \ldots + 32 = \dfrac{3 + 32}{2} \cdot 30 = 525.\) Sufficient \(\Large{\color{green}\checkmark}\)

From 2, The second-highest number of motorcycles sold on any one day was \(59.\) The least number of motorcycles sold in June would be \((1 + 2 + 3 + \ldots + 28) + 59 + 60 = \dfrac{1 + 28}{2}\cdot 28 + 119 = 525.\) Sufficient \(\Large{\color{green}\checkmark}\)

Therefore, D
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