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If x is a multiple of 5, y is a factor of 16, and z is a factor of 40,
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13 Dec 2021, 04:49
13 Dec 2021, 04:49
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If x is a multiple of 5, y is a factor of 16, and z is a factor of 40, which of the following must be true?
I. xy is a multiple of z.
II. xy is not a factor of z.
III. xy is a factor of z.
A. None of the above
B. I only
C. II only
D. III only
E. I and II only
I. xy is a multiple of z.
II. xy is not a factor of z.
III. xy is a factor of z.
A. None of the above
B. I only
C. II only
D. III only
E. I and II only
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Re: If x is a multiple of 5, y is a factor of 16, and z is a factor of 40,
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13 Dec 2021, 06:30
13 Dec 2021, 06:30
1
Carcass wrote:
If x is a multiple of 5, y is a factor of 16, and z is a factor of 40, which of the following must be true?
I. xy is a multiple of z.
II. xy is not a factor of z.
III. xy is a factor of z.
A. None of the above
B. I only
C. II only
D. III only
E. I and II only
I. xy is a multiple of z.
II. xy is not a factor of z.
III. xy is a factor of z.
A. None of the above
B. I only
C. II only
D. III only
E. I and II only
For this question we must consider a variety of cases...
If x is a multiple of 5, then some possible values of x include: 5, 10, 15, 20, 25,....
If y is a factor of 16, then some possible values of y are: 1, 2, 4, 8, 16
If z is a factor of 40, then some possible values of z are: 1, 2, 4, 5, 8, 10, 20, 40
Now that's check each statement...
I. xy is a multiple of z.
If x = 5, y = 1 and z = 10, then xy = 5
Since 5 is NOT a multiple of 10, statement I is not necessarily true.
This means we can eliminate B and E since they state that statement I is true.
II. xy is not a factor of z.
If x = 5, y = 1 and z = 10, then xy = 5
Since 5 IS a factor of 10, statement II is not necessarily true.
This means we can eliminate C since it states that statement II is true.
III. xy is a factor of z.
If x = 5, y = 1 and z = 1, then xy = 5
Since 5 is NOT a factor of 1, statement III is not necessarily true.
This means we can eliminate D since it states that statement III is true.
Answer: A
Re: If x is a multiple of 5, y is a factor of 16, and z is a factor of 40,
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07 Feb 2025, 03:10
07 Feb 2025, 03:10
GreenlightTestPrep, Carcass
Small question, could you please help verify if my logic is correct.
Should we consider 0 as a multiple of 5 (in this case x) which also a multiple of every number.
Thus, would xy = 0 * y = 0 ; then, xy could be a multiple of basically any number including z
Indeed, this question asks for "MUST be true", so the matter that xy could be a multiple of anything wouldn't statify this and A would still be out, but
1. what if the question ask for "COULD be true" would A be included in the answer.
2. Should we normally consider 0 as a multiple for these multiple/factor type question.
Thank you in advance.
Small question, could you please help verify if my logic is correct.
Should we consider 0 as a multiple of 5 (in this case x) which also a multiple of every number.
Thus, would xy = 0 * y = 0 ; then, xy could be a multiple of basically any number including z
Indeed, this question asks for "MUST be true", so the matter that xy could be a multiple of anything wouldn't statify this and A would still be out, but
1. what if the question ask for "COULD be true" would A be included in the answer.
2. Should we normally consider 0 as a multiple for these multiple/factor type question.
Thank you in advance.
