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# If a and b are positive integers, and a=12b, then

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Math Expert
Joined: 02 Sep 2009
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If a and b are positive integers, and a=12b, then  [#permalink]

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25 Nov 2016, 06:07
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Question Stats:

77% (00:48) correct 23% (00:50) wrong based on 112 sessions

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If a and b are positive integers, and a=12b, then -

A. a is a factor of b.
B. a is a multiple of b.
C. a is a factor of 12.
D. b is a multiple of a.
E. b is a multiple of 12.

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Posts: 9
Re: If a and b are positive integers, and a=12b, then  [#permalink]

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25 Nov 2016, 07:20
a = 12b
so, a is multiple of b
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Re: If a and b are positive integers, and a=12b, then  [#permalink]

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25 Nov 2016, 08:40
Bunuel wrote:
If a and b are positive integers, and a=12b, then -

A. a is a factor of b.
B. a is a multiple of b.
C. a is a factor of 12.
D. b is a multiple of a.
E. b is a multiple of 12.

Just a glance at the question is sufficient to claim that a must be a multiple of b...

PS : This question test the theoretical knowledge of the term Factor Vs Multiple
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Re: If a and b are positive integers, and a=12b, then  [#permalink]

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25 Nov 2016, 10:33
a=12b
This statement can defined as =>
a is a multiple of 12
a is a multiple of b
b is a factor of a
12 is a factor of a

Hence only B is in our list.

Hence B
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Re: If a and b are positive integers, and a=12b, then  [#permalink]

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11 Jun 2017, 14:04
Abhishek009 wrote:
Bunuel wrote:
If a and b are positive integers, and a=12b, then -

A. a is a factor of b.
B. a is a multiple of b.
C. a is a factor of 12.
D. b is a multiple of a.
E. b is a multiple of 12.

Just a glance at the question is sufficient to claim that a must be a multiple of b...

PS : This question test the theoretical knowledge of the term Factor Vs Multiple

Hi,

Can you please let me know what could wrong with Option D?
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Re: If a and b are positive integers, and a=12b, then  [#permalink]

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11 Jun 2017, 23:14
Heseraj wrote:
Abhishek009 wrote:
Bunuel wrote:
If a and b are positive integers, and a=12b, then -

A. a is a factor of b.
B. a is a multiple of b.
C. a is a factor of 12.
D. b is a multiple of a.
E. b is a multiple of 12.

Just a glance at the question is sufficient to claim that a must be a multiple of b...

PS : This question test the theoretical knowledge of the term Factor Vs Multiple

Hi,

Can you please let me know what could wrong with Option D?

Hi

a = 12*b means that when you multiply a positive integer 'b' with another positive integer '12', you get a positive integer 'a'.
This means that 'a' is a multiple of Both '12' and 'b', this also means that 'b' and '12' are both factors of 'a'.

So b is NOT a multiple of a, which option D suggests - rather b is a factor of a.
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Posts: 2825
Re: If a and b are positive integers, and a=12b, then  [#permalink]

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06 Jul 2017, 17:17
Bunuel wrote:
If a and b are positive integers, and a=12b, then -

A. a is a factor of b.
B. a is a multiple of b.
C. a is a factor of 12.
D. b is a multiple of a.
E. b is a multiple of 12.

Manipulating the given equation, we have:

a/b = 12, which means that a is a multiple of b.

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Re: If a and b are positive integers, and a=12b, then   [#permalink] 06 Jul 2017, 17:17
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# If a and b are positive integers, and a=12b, then

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