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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
Mira is making telescopes, each consisting of 2 lenses, 1 tube, and 1
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24 Aug 2021, 05:10
24 Aug 2021, 05:10
Expert Reply
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Question Stats:
45% (02:32) correct
54% (01:56) wrong based on 11 sessions
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Mira is making telescopes, each consisting of 2 lenses, 1 tube, and 1 eyepiece. Lenses can be purchased only in packs of 50, tubes only in packs of 10, and eyepieces only in packs of 30. However, half of the lenses in each pack are not usable for telescopes. If all parts are used only for the telescopes, what is the minimum number of lenses Mira must purchase to make a set of telescopes with no leftover components other than the unusable lenses?
A. 75
B. 150
C. 300
D. 600
E. 7,500
A. 75
B. 150
C. 300
D. 600
E. 7,500
Re: Mira is making telescopes, each consisting of 2 lenses, 1 tube, and 1
[#permalink]
27 Aug 2021, 10:20
27 Aug 2021, 10:20
Expert Reply
300 lenses = 150 usable lenses = 75 tubes = 75 eyepieces. We cannot buy 75 tubes or 75 eyepieces, so that not to have leftovers.
A and B are automatically out. Check D:
600 lenses = 300 usable lenses = 150 tubes = 150 eyepieces. We CAN buy 150 tubes and 150 eyepieces, so that not to have leftovers.
Answer: D.
A and B are automatically out. Check D:
600 lenses = 300 usable lenses = 150 tubes = 150 eyepieces. We CAN buy 150 tubes and 150 eyepieces, so that not to have leftovers.
Answer: D.
gmatclubot
Re: Mira is making telescopes, each consisting of 2 lenses, 1 tube, and 1 [#permalink]
27 Aug 2021, 10:20
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