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24 Jan 2024, 03:37
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
64% (02:41) correct
36%
(02:52)
wrong
based on 787
sessions
History
Date
Time
Result
Not Attempted Yet
A company makes bolts of only two sizes: small and large. Each small bolt that the company made last month used at least $0.05 worth of materials and had a selling price of $0.10. Each large bolt that the company made last month used at least $0.07 worth of materials and had a selling price of $0.25. Did the company make more than 5,000 bolts last month?
(1) The bolts that the company made last month used less than $500 worth of materials.
(2) The sum of the selling prices of the bolts that the company made last month was greater than $1,300.
2024-01-24_14-36-09.png [ 76.25 KiB | Viewed 11154 times ]
(1) The bolts that the company made last month used less than $500 worth of materials.
(2) The sum of the selling prices of the bolts that the company made last month was greater than $1,300.
Attachment:
2024-01-24_14-36-09.png [ 76.25 KiB | Viewed 11154 times ]
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26 Jan 2024, 21:21
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guddo
(1) The bolts that the company made last month used less than $500 worth of materials.
\(.05x+.07y <500\)
\(5x+7y<50,000\)
\(x=5000\) and \(y =1\) , we have a YES
\(x=1\) and \(y=1,\) we have a NO.
INSUFF.
(2) The sum of the selling prices of the bolts that the company made last month was greater than $1,300.
\(.1x+.25y > 1300\)
\(10x+25y>130,000\)
Since \(y\) is attached to a larger value lets see if we can get less than \(5000\) bolts, using \(25y\)
If \(y\) is \(5000\) then \(25*5000= 125000\)
Thus even whe using the larger of the two, we are not able to get less than \(5000 \) bolts .
Hence using any combination of \(x\) and \(y\) the # of bolts must be more than \(5000.\)
SUFF.
Ans B
Hope it helped.
General Discussion
27 Aug 2024, 12:32
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stne: Actually, there was no information about the production of bolts given, only about how many bolts were sold last month. What if those bolts were stock article didn't need to be produced, in this case we still wouldn't know if more than 5000 were PRODUCED. Question is just imprecise. S1 is clearly not sufficient, even if it provides information about production. However less than 500 could be 10, so we still don't know how many were produced. Or do I miss something important here? I know that this is an official mock question, hence I am trying to filter any misinterpretations from my side.
