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If m and x are positive integers, what is the value of x?

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If m and x are positive integers, what is the value of x?  [#permalink]

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New post 05 Dec 2016, 01:58
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

62% (01:06) correct 38% (01:00) wrong based on 101 sessions

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If m and x are positive integers, what is the value of x?  [#permalink]

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New post 05 Dec 2016, 02:18
m and x are positive integers.

Statement 1
: x is a positive multiple of 8m.

x=8m*p where p can be any positive integer,

Statement 1 alone is not sufficient as m and p can be any positive integer.


Statement 2: x is a factor of 8m.

8m=x*q where q can be any positive integer.


Statement 2 alone is not sufficient as m and q can be any positive integer.

Combining both statements:


x is a positive multiple of 8m and x is a factor of 8m: It can only be possible when x=8m. For instance, 2 is the multiple of 2 and 2 is a factor of itself i.e. 2

But, m can be any positive integer. Combining both statements do not give us one value of x, so both statements are not sufficient to solve the problem.


Correct answer is E

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Re: If m and x are positive integers, what is the value of x?  [#permalink]

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New post 05 Dec 2016, 02:41
Bunuel wrote:
If m and x are positive integers, what is the value of x?

(1) x is a positive multiple of 8m.
(2) x is a factor of 8m.


from 1

x = (8m)k , k is a +ve integer .... insuff x = {8,16,...etc)

from 2

x is 1 or 2 or 4 or 8 or m or 2m or 4m or 8m or m.. insuff

both

x is both a multiple and a factor of 8m , thus x = 8m ... insuff

E
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Re: If m and x are positive integers, what is the value of x?  [#permalink]

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New post 13 Jun 2017, 06:00
Bunuel wrote:
If m and x are positive integers, what is the value of x?

(1) x is a positive multiple of 8m.
(2) x is a factor of 8m.


I guess C is the answer,
From 1) x=8,16,24,32...etc
From 2) x = 1, 2, 4, 8, 16..etc depending on the vakue of m

Combining 1 and 2 the statement becomes for waht valu of m is x both a multiple and a factor of 8m...
for m = 1 we get x=8 which a both a multiple and a factor of 8...Am I right?
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Re: If m and x are positive integers, what is the value of x?  [#permalink]

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New post 13 Jun 2017, 07:23
saurabhsavant wrote:
Bunuel wrote:
If m and x are positive integers, what is the value of x?

(1) x is a positive multiple of 8m.
(2) x is a factor of 8m.


I guess C is the answer,
From 1) x=8,16,24,32...etc
From 2) x = 1, 2, 4, 8, 16..etc depending on the vakue of m

Combining 1 and 2 the statement becomes for waht valu of m is x both a multiple and a factor of 8m...
for m = 1 we get x=8 which a both a multiple and a factor of 8...Am I right?



Hi
If a number is both MULTIPLE and FACTOR OF something, the number is that something

so what you get combined is x=8m..
so x will vary with m
insuff

hope it helps
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: If m and x are positive integers, what is the value of x?  [#permalink]

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New post 30 Sep 2018, 09:15
Bunuel wrote:
If m and x are positive integers, what is the value of x?

(1) x is a positive multiple of 8m.
(2) x is a factor of 8m.



St 1: x changes with value of m hence st 1 NS
St 2: Again, x can take any of the value from factor of 8m. Hence NS

Combining both the st, we get x=8m which still leaves us with number of possibilities as we don't know the exact value of m.

So the answer is E
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Re: If m and x are positive integers, what is the value of x? &nbs [#permalink] 30 Sep 2018, 09:15
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If m and x are positive integers, what is the value of x?

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