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

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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
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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 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  [#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 25 Jul 2019, 07:23
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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


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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 Jul 2019, 05:29
1
VeritasKarishma wrote:
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)



Why it can that NONE... quiet enough.... implies NONE.....Industrial setting?
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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 02 Aug 2019, 04:04
This stimulus has conditonal reasoning and may need a fair bit diagramming.
When conditional reasoning is used in must be true then the correct answer is the repeat form or the contrapositive.Every other inference is wrong.
A. Mistaken reversal- Wrong
B.Contrapositive-this is the correct answer
C.variant of Mistaken Negation
D.Another mistaken reversal
E.Another mistaken negation
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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 02 Aug 2019, 04:07
Srija221 wrote:
VeritasKarishma wrote:
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)



Why it can that NONE... quiet enough.... implies NONE.....Industrial setting?

Conditional reasoning is strange. If you start thinking through it you will start making real life inferences that theis not supported by the LSAT Stimuli.Questions with conditonal reasoning and mut be true need to be diagrammed
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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 02 Aug 2019, 20:55
Was confused between B & E . But all that differentiate is a little attentiveness only. Re read to find out the logic.
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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 05 Aug 2019, 20:30
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



Conditional reasoning is some kind of magic. Don't reply to me, don't quote me. I am just happy that I finally started managing to solve 700 levels in CR (at least must be trues)
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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 06 Aug 2019, 06:31
If you are brief with the concepts of discrete mathematics, you'll find this solution easy to follow:
Sound insulated -----> Home appliances (1)
Home appliances -----> Industrial Appliances
motor (EM industries) ------> NOT home appliances (2)
From (2) we follow that
home appliances -------> not (use) motor(EM industries) (3)

From (1) and (3) we follow
Sound insulated -----> not (use) motor(EM industries)
and hence
motor (EM industries) ------> (are) not Sound insulated

I know this seems tedious but if P then Q condition should be crystal clear in your list of concepts to tackle these type of questions quickly
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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 06 Aug 2019, 09:57
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When do must be true question, i often draw a chart and it helps me a lot. If A, then B = A ->B. And we know contrapositive is correct. It means Not B -> Not A is correct. So apply this rule to this question:
A= a motor is sound-insulated
B= it is quiet enough to use in home appliances
C= it can be used in institutional settings
So, rewrite the stimulus we have: A - B; B->C ; and no motor manufactured byy.... is not B.

Answer analysis:
(A) If a motor can be used in institutional settings, then it is sound-insulated. rewrite C->A -> incorrect
(B) None of the motors manufactured by EM Industries are sound-insulated. rewrite not B->not A -> correct
(C) At least some of the motors manufactured by EM Industries can be used in institutional settings. -> incorrect
(D) If a motor is quiet enough to use in home appliances, then it is sound-insulated. -> B-> A -> incorrect
(E) None of the motors manufactured by EM Industries can be used in institutional settings. -> not B -> not C -> incorrect

Hence, B is correct. What if the stimulus does not have the if...then construction. i also pretend that it have this construction.

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Re: If a motor is sound-insulated, then it is quiet enough to use in home   [#permalink] 06 Aug 2019, 09:57
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