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08 Jun 2026, 13:45
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D
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Difficulty:
45%
(medium)
Question Stats:
70% (02:32) correct
30%
(02:51)
wrong
based on 98
sessions
History
Date
Time
Result
Not Attempted Yet
A warehouse uses Metro Courier to ship parcels. Metro Courier charges $12 per parcel for the first 12 parcels shipped in a day and $8 for each parcel after the first 12. If the warehouse used only Metro Courier on Tuesday, did the warehouse ship more than 40 parcels on Tuesday?
(1) If the warehouse had shipped 3 additional parcels on Tuesday, its shipping cost for that day would have been at least $400.
(2) The warehouse’s average (arithmetic mean) shipping cost per parcel on Tuesday was $9.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(1) If the warehouse had shipped 3 additional parcels on Tuesday, its shipping cost for that day would have been at least $400.
(2) The warehouse’s average (arithmetic mean) shipping cost per parcel on Tuesday was $9.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
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M47-190
10 Jun 2026, 02:00
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GMAT Club Official Solution:
A warehouse uses Metro Courier to ship parcels. Metro Courier charges $12 per parcel for the first 12 parcels shipped in a day and $8 for each parcel after the first 12. If the warehouse used only Metro Courier on Tuesday, did the warehouse ship more than 40 parcels on Tuesday?
Let n be the number of parcels shipped on Tuesday. The question asks whether n > 40. For more than 12 parcels, the shipping cost is:
12 * 12 + 8(n - 12) = 8n + 48
(1) If the warehouse had shipped 3 additional parcels on Tuesday, its shipping cost for that day would have been at least $400.
Since $400 is more than 12 * 12 = $144, the hypothetical shipment of n + 3 parcels must have included more than 12 parcels. So, the cost would have been:
8(n + 3) + 48 = 8n + 72
Statement (1) says:
8n + 72 >= 400
8n >= 328
n >= 41
So n > 40.
Sufficient.
(2) The warehouse’s average shipping cost per parcel on Tuesday was $9.
Since the average cost per parcel was $9, the warehouse must have shipped more than 12 parcels, otherwise, the average cost per parcel would have been $12.
So:
(8n + 48)/n = 9
8n + 48 = 9n
n = 48
So n > 40.
Sufficient.
Answer: D.
A warehouse uses Metro Courier to ship parcels. Metro Courier charges $12 per parcel for the first 12 parcels shipped in a day and $8 for each parcel after the first 12. If the warehouse used only Metro Courier on Tuesday, did the warehouse ship more than 40 parcels on Tuesday?
Let n be the number of parcels shipped on Tuesday. The question asks whether n > 40. For more than 12 parcels, the shipping cost is:
12 * 12 + 8(n - 12) = 8n + 48
(1) If the warehouse had shipped 3 additional parcels on Tuesday, its shipping cost for that day would have been at least $400.
Since $400 is more than 12 * 12 = $144, the hypothetical shipment of n + 3 parcels must have included more than 12 parcels. So, the cost would have been:
8(n + 3) + 48 = 8n + 72
Statement (1) says:
8n + 72 >= 400
8n >= 328
n >= 41
So n > 40.
Sufficient.
(2) The warehouse’s average shipping cost per parcel on Tuesday was $9.
Since the average cost per parcel was $9, the warehouse must have shipped more than 12 parcels, otherwise, the average cost per parcel would have been $12.
So:
(8n + 48)/n = 9
8n + 48 = 9n
n = 48
So n > 40.
Sufficient.
Answer: D.
General Discussion
08 Jun 2026, 20:03
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The answer is D
Given: 12*12$+ (T-12)8$ = total cost =144+8T-96==8T+48
to find: if T>40
1)8(T+3)+48>/=400 so T+3>/= ((400-48)/8)
T>/=41 so this is sufficient to say T>40
2) Average of the cost of purchase is 9. We can straight away say we can deduce the value of T just looking at the choice. Hence sufficient.
So D is the answer
Given: 12*12$+ (T-12)8$ = total cost =144+8T-96==8T+48
to find: if T>40
1)8(T+3)+48>/=400 so T+3>/= ((400-48)/8)
T>/=41 so this is sufficient to say T>40
2) Average of the cost of purchase is 9. We can straight away say we can deduce the value of T just looking at the choice. Hence sufficient.
So D is the answer
