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For positive integers a and b, a/b. Which of the following cannot be t

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Nanobotstv
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For positive integers a and b, a/b. Which of the following cannot be t [#permalink] New post   Updated on: 04 Oct 2016, 06:32
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For positive integers a and b, a/b = 0.6. Which of the following cannot be the value of a?

a) 42
b) 63
c) 105
d) 137
e) 174

Please assist with above problem.
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D

Originally posted by Nanobotstv on 04 Oct 2016, 05:56.
Last edited by Nanobotstv on 04 Oct 2016, 06:32, edited 1 time in total.
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abhimahna
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Re: For positive integers a and b, a/b. Which of the following cannot be t [#permalink] New post   04 Oct 2016, 06:11
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alanforde800Maximus wrote:
For positive integers a and b, a/b. Which of the following cannot be the value of a?

a) 42
b) 63
c) 105
d) 137
e) 174

Please assist with above problem.


The question seems incomplete. Please correct the question.
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Nanobotstv
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Re: For positive integers a and b, a/b. Which of the following cannot be t [#permalink] New post   04 Oct 2016, 06:19
abhimahna wrote:
alanforde800Maximus wrote:
For positive integers a and b, a/b. Which of the following cannot be the value of a?

a) 42
b) 63
c) 105
d) 137
e) 174

Please assist with above problem.


The question seems incomplete. Please correct the question.



Hello,

Please refer attached image directly from manual.
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abhimahna
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Re: For positive integers a and b, a/b. Which of the following cannot be t [#permalink] New post   04 Oct 2016, 06:27
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alanforde800Maximus wrote:
abhimahna wrote:
alanforde800Maximus wrote:
For positive integers a and b, a/b. Which of the following cannot be the value of a?

a) 42
b) 63
c) 105
d) 137
e) 174

Please assist with above problem.


The question seems incomplete. Please correct the question.


Hello,

Please refer attached image directly from manual.



Then the manual has the incorrect question. I don't think this question is answerable in its current form.
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mechky
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Re: For positive integers a and b, a/b. Which of the following cannot be t [#permalink] New post   04 Oct 2016, 06:39
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[quote="alanforde800Maximus"]For positive integers a and b, a/b = 0.6. Which of the following cannot be the value of a?

a) 42
b) 63
c) 105
d) 137
e) 174

Please assist with above problem.

Given : a/b =0.6
a/0.6 = b
a *10/6 = b
That means a should be multiple of 6 (since a is an integer)

Only option D gives a in fraction when divided by 6. hence D
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Re: For positive integers a and b, a/b. Which of the following cannot be t [#permalink] New post   17 Oct 2016, 11:37
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Given a/b = .6 --> b = a/.6

which can be written as 10a/6 = 5a/3

Since we know b is an integer so 'a' has to be multiple of 3 out of all the options D isn't a multiple of 3.

Hence D

HTH
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For positive integers a and b, a/b. Which of the following cannot be t [#permalink] New post   Updated on: 10 Apr 2019, 18:12
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If \(\frac{a}{b} = \frac{6}{10} = \frac{3}{5}\), then we know A must be divisible by 3. Using the divisibility rules, we can figure that the sum of integers for the number 137 (1 + 3 + 7) is not divisible by 3. Thus, 137 could not be divided evenly to provide a fraction equal to 3/5 or 6/10

Originally posted by edlc313 on 08 Apr 2019, 15:34.
Last edited by edlc313 on 10 Apr 2019, 18:12, edited 1 time in total.
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Re: For positive integers a and b, a/b. Which of the following cannot be t [#permalink] New post   10 Apr 2019, 17:41
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Nanobotstv wrote:
For positive integers a and b, a/b = 0.6. Which of the following cannot be the value of a?

a) 42
b) 63
c) 105
d) 137
e) 174

Please assist with above problem.



Simplifying we have:

a/b = 6/10

a/b = 3/5

We see a is a multiple of 3, so 137 cannot be a.

Answer: D
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Re: For positive integers a and b, a/b. Which of the following cannot be t [#permalink] New post   16 Apr 2023, 08:02
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