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If a motor is sound-insulated, then it is quiet enough to use in home

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Joined: 30 Jan 2016
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If a motor is sound-insulated, then it is quiet enough to use in home  [#permalink]

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New post 26 Jun 2018, 11:26
3
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A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

37% (01:48) correct 63% (01:45) wrong based on 98 sessions

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If a motor is sound-insulated, then it is quiet enough to use in home appliances. If a motor is quiet enough to use in home appliances, then it can be used in institutional settings. None of the motors manufactured by EM Industries are quiet enough to use in home appliances.

If the statements above are true, which one of the following must be true?

(A) If a motor can be used in institutional settings, then it is sound-insulated.
(B) None of the motors manufactured by EM Industries are sound-insulated.
(C) At least some of the motors manufactured by EM Industries can be used in institutional settings.
(D) If a motor is quiet enough to use in home appliances, then it is sound-insulated.
(E) None of the motors manufactured by EM Industries can be used in institutional settings.

Source: LSAT

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Re: If a motor is sound-insulated, then it is quiet enough to use in home  [#permalink]

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New post 26 Jun 2018, 23:12
I'm confused between options A, B and E. I took E. Kindly help
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Re: If a motor is sound-insulated, then it is quiet enough to use in home  [#permalink]

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New post 27 Jun 2018, 02:05
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Akela wrote:
If a motor is sound-insulated, then it is quiet enough to use in home appliances. If a motor is quiet enough to use in home appliances, then it can be used in institutional settings. None of the motors manufactured by EM Industries are quiet enough to use in home appliances.

If the statements above are true, which one of the following must be true?

(A) If a motor can be used in institutional settings, then it is sound-insulated.
(B) None of the motors manufactured by EM Industries are sound-insulated.
(C) At least some of the motors manufactured by EM Industries can be used in institutional settings.
(D) If a motor is quiet enough to use in home appliances, then it is sound-insulated.
(E) None of the motors manufactured by EM Industries can be used in institutional settings.

Source: LSAT



It is an if-then conditional statement. First check out this post: https://www.veritasprep.com/blog/2012/1 ... tatements/

"If A, B" leads to
A implies B
and
Not B implies not A.

If a motor is sound-insulated, then it is quiet enough to use in home appliances.
leads to

A motor is sound-insulated means it is quiet enough to use in home appliances.
Not quiet enough to use in home appliances means it is not sound-insulated.

The argument tells us "None of the motors manufactured by EM Industries are quiet enough to use in home appliances". This means motors manufactured by EM Industries are not sound-insulated.
Answer (B)

Note that in case of if statements, "not A does not imply not B"
So "not quiet enough to use in home appliances" does not imply "cannot be used in institutional settings".
Hence answer is not (E)
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Re: If a motor is sound-insulated, then it is quiet enough to use in home &nbs [#permalink] 27 Jun 2018, 02:05
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If a motor is sound-insulated, then it is quiet enough to use in home

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