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A number line is divided by 10 evenly spaced tick marks.

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A number line is divided by 10 evenly spaced tick marks. [#permalink] New post 10 Jan 2018, 07:42
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A number line is divided by 10 evenly spaced tick marks. The length between each tick mark equals p, and p is a prime number.

Indicate all the possible lengths of the number line described above.

A- 10
B- 18
C- 22
D- 24
E- 27
F- 30
G- 36
H- 117
I- 130
[Reveal] Spoiler: OA
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Re: A number line is divided by 10 evenly spaced tick marks. [#permalink] New post 10 Jan 2018, 11:17
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sameer93 wrote:
A number line is divided by 10 evenly spaced tick marks. The length between each tick mark equals p, and p is a prime number.

Indicate all the possible lengths of the number line described above.

A- 10
B- 18
C- 22
D- 24
E- 27
F- 30
G- 36
H- 117
I- 130


What's the source of this question?

I ask because I don't understand why B, D and E aren't among the answers.
If p = 3, then the measurements are 3, 6, 9, 12, 15, 18, 21, 24, 27 etc


Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com
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Re: A number line is divided by 10 evenly spaced tick marks. [#permalink] New post 10 Jan 2018, 18:46
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There are 10 evenly spaced tick marks on a line. Say X is a tick mark.

X....X....X....X....X....X....X....X....X....X

So there are 9 spaces between the tick marks. If one space is length l. Then the length of line is \(9 \times l\).

All the options that are multiples of 9 are correct. Except 36 because 36/9 is 4 which is not aprime number

Namely B, E and H


As Brent pointed out the answer seems to be a bit off. Or I misunderstood the question.
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Sandy
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Re: A number line is divided by 10 evenly spaced tick marks.   [#permalink] 10 Jan 2018, 18:46
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A number line is divided by 10 evenly spaced tick marks.

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