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01 Nov 2015, 17:28
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
70% (02:37) correct
30%
(02:34)
wrong
based on 253
sessions
History
Date
Time
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Not Attempted Yet
The cost to ship a series of identical packages through Alpha Shipper Company is $40 for the first 10 packages and $6 for each additional package after the tenth package. Did an online retailer who only uses Alpha Shipper Company for shipping ship more than 35 packages on Monday?
(1) If 4 additional packages were shipped, then the retailer would have spent at least $220 on shipping on Monday.
(2) The average price of the packages shipped on Monday was $5.50
(1) If 4 additional packages were shipped, then the retailer would have spent at least $220 on shipping on Monday.
(2) The average price of the packages shipped on Monday was $5.50
QUANT 4-PACK SERIES Data Sufficiency Pack 2 Question 1 The cost to ship...
48 Hour Window Answer & Explanation Window
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OA, and explanation will be posted after the 48 hour window closes.
This question is part of the Quant 4-Pack series
Scroll Down For Official Explanation
48 Hour Window Answer & Explanation Window
Earn KUDOS! Post your answer and explanation.
OA, and explanation will be posted after the 48 hour window closes.
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ENGRTOMBA2018
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Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
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01 Nov 2015, 18:04
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EMPOWERgmatRichC
QUANT 4-PACK SERIES Data Sufficiency Pack 2 Question 1 The cost to ship...
The cost to ship a series of identical packages through Alpha Shipper Company is $40 for the first 10 packages and $6 for each additional package after the tenth package. Did an online retailer who only uses Alpha Shipper Company for shipping ship more than 35 packages on Monday?
(1) If 4 additional packages were shipped, then the retailer would have spent at least $220 on shipping on Monday.
(2) The average price of the packages shipped on Monday was $5.50
48 Hour Window Answer & Explanation Window
Earn KUDOS! Post your answer and explanation.
OA, and explanation will be posted after the 48 hour window closes.
This question is part of the Quant 4-Pack series
Scroll Down For Official Explanation
The cost to ship a series of identical packages through Alpha Shipper Company is $40 for the first 10 packages and $6 for each additional package after the tenth package. Did an online retailer who only uses Alpha Shipper Company for shipping ship more than 35 packages on Monday?
(1) If 4 additional packages were shipped, then the retailer would have spent at least $220 on shipping on Monday.
(2) The average price of the packages shipped on Monday was $5.50
48 Hour Window Answer & Explanation Window
Earn KUDOS! Post your answer and explanation.
OA, and explanation will be posted after the 48 hour window closes.
This question is part of the Quant 4-Pack series
Scroll Down For Official Explanation
Good question. +1.
Rate for the first 10 packages = 40$ and thereafter =6$ per package. Let the total number of packages shipped on monday be x.
Per the question, is x>35 or in terms of money spent, for >35 packages, the money spent must be > 40+(35-10)*6 = 40+150 > 190$
Per statement 1, x+4 packages would have led to \(\geq\) 220$ worth of costs. Thus for x packages (x MUST be >10), it must be \(\geq\)220-4*6 ---> \(\geq\) 196. Clearly sufficient as total cost for shipping >35 packages must be >190$.
Per statement 2, average of x packages shipped on monday = 5.5$ --> \(\frac {40+(x-10)*6}{x} = 5.5\) ---> No need to solve (x=40, if do you solve). Clearly sufficient to calculate a unique value of x.
Both statements are sufficient ---> D is the correct answer.
02 Nov 2015, 12:38
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St 1:
If 4 additional packages were shipped, then the retailer would have spent at least $220 on shipping on Monday.
For first 10 packages, the cost is $40. So 220-40=$180 spent on additional packages. For each addl package, the cost is $6.
So 180/6 = 30 additional packages were shipped. Total 10+30=40 packages has been shipped, which is >35.
This is sufficient.
St 2:
The average price of the packages shipped on Monday was $5.50
For the first 10 packages, the avg price wud be 4. For addl package, the cost is $6. So when adding addl packages, the avg increases. Plugging IN nos will be helpful.
If we add addl 30 packages, 30*6=$180, 180+40=$220, 220/40=$5.50
This is sufficient.
Ans D.
If 4 additional packages were shipped, then the retailer would have spent at least $220 on shipping on Monday.
For first 10 packages, the cost is $40. So 220-40=$180 spent on additional packages. For each addl package, the cost is $6.
So 180/6 = 30 additional packages were shipped. Total 10+30=40 packages has been shipped, which is >35.
This is sufficient.
St 2:
The average price of the packages shipped on Monday was $5.50
For the first 10 packages, the avg price wud be 4. For addl package, the cost is $6. So when adding addl packages, the avg increases. Plugging IN nos will be helpful.
If we add addl 30 packages, 30*6=$180, 180+40=$220, 220/40=$5.50
This is sufficient.
Ans D.
