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A certain manufacturer produces an engine lift with three pulleys and
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Bunuel
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A certain manufacturer produces an engine lift with three pulleys and [#permalink] New post  24 May 2022, 06:00
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A certain manufacturer produces an engine lift with three pulleys and seven levers. If each box contains eight pulleys and the manufacturer is starting with unopened boxes and does not want to have a partial box of pulleys remaining, which of the following could not be the number of levers used in the manufacturing job?

I. 56
II. 84
III. 196

A. I only
B. II only
C. III only
D. II and III only
E. I, II, and III
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JerryAtDreamScore
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Re: A certain manufacturer produces an engine lift with three pulleys and [#permalink] New post  24 May 2022, 10:22
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Bunuel wrote:
A certain manufacturer produces an engine lift with three pulleys and seven levers. If each box contains eight pulleys and the manufacturer is starting with unopened boxes and does not want to have a partial box of pulleys remaining, which of the following could not be the number of levers used in the manufacturing job?

I. 56
II. 84
III. 196

A. I only
B. II only
C. III only
D. II and III only
E. I, II, and III


Number Properties:

We need to make the engine lifts in multiples of 8 because we have 8 pulleys per box. So this means we end up needing to make 24 pulleys and 56 levers at a time. Then any multiple of 56 is viable for this configuration. Only I is a multiple of 56.

Answer: A
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Regor60
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Re: A certain manufacturer produces an engine lift with three pulleys and [#permalink] New post  24 May 2022, 11:08
JerryAtDreamScore wrote:
Bunuel wrote:
A certain manufacturer produces an engine lift with three pulleys and seven levers. If each box contains eight pulleys and the manufacturer is starting with unopened boxes and does not want to have a partial box of pulleys remaining, which of the following could not be the number of levers used in the manufacturing job?

I. 56
II. 84
III. 196

A. I only
B. II only
C. III only
D. II and III only
E. I, II, and III


Number Properties:

We need to make the engine lifts in multiples of 8 because we have 8 pulleys per box. So this means we end up needing to make 24 pulleys and 56 levers at a time. Then any multiple of 56 is viable for this configuration. Only I is a multiple of 56.

Answer: A


Yes. Meaning the answer is D

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ThatDudeKnows
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A certain manufacturer produces an engine lift with three pulleys and [#permalink] New post  Updated on: 24 May 2022, 12:25
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Bunuel wrote:
A certain manufacturer produces an engine lift with three pulleys and seven levers. If each box contains eight pulleys and the manufacturer is starting with unopened boxes and does not want to have a partial box of pulleys remaining, which of the following could not be the number of levers used in the manufacturing job?

I. 56
II. 84
III. 196

A. I only
B. II only
C. III only
D. II and III only
E. I, II, and III




NOT

I. 56 levers = 8 lifts = 24 pulleys. 24 is a multiple of 8. A and E are wrong.
II. 84 levers = 12 lifts = 36 pulleys. NOT a multiple of 8. C is wrong.
III. 196 levers = 28 lifts = 84 pulleys. NOT a multiple of 8. B is wrong.

Answer choice D.
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Originally posted by ThatDudeKnows on 24 May 2022, 11:47.
Last edited by ThatDudeKnows on 24 May 2022, 12:25, edited 2 times in total.
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Re: A certain manufacturer produces an engine lift with three pulleys and [#permalink] New post  24 May 2022, 12:13
Everyone seems to be agreeing that 56 levers can be used, but not 84 and 196.

The question is asking for which numbers CAN'T be used. Only D captures the numbers that can't be used.

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Re: A certain manufacturer produces an engine lift with three pulleys and [#permalink]
24 May 2022, 12:13
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