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

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

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Official Answer

A,C,D,F,G,H,I

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Joined: **10 Apr 2015 **

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Re: A number line is divided by 10 evenly spaced tick marks.
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10 Jan 2018, 11:17

2

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

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

Re: A number line is divided by 10 evenly spaced tick marks.
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10 Jan 2018, 18:46

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Expert Reply

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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.

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.

Re: A number line is divided by 10 evenly spaced tick marks.
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14 Jun 2019, 20:54

sandy wrote:

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.

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.

I am at one with this explanation, because the number line has 10 evenly spaced TICK MARKs ( NOT evenly spaced GAPs).

therefore, we have 9 GAPS* any prime number= our answers.

Re: A number line is divided by 10 evenly spaced tick marks.
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28 Jun 2019, 14:12

I might be wrong. Here is my explanation. As we got total length will be 9P. P is a prime number, so we should check all prime numbers multiplied by 9. 9*1 won't work since 1 is not a prime number. So those numbers only divisible by 9 shouldn't be our answers. 9*2 works, so any numbers divisible by 18 will be answers. We get B, G. 9*3 will work. So numbers divisible by 27 will be our answers. We get E. I don't see any possible answers here when 9 is multiplied by prime numbers. So, B, E, G my answers. Please enlighten me!!!

Re: A number line is divided by 10 evenly spaced tick marks.
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01 Sep 2024, 03:05

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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A number line is divided by 10 evenly spaced tick marks. [#permalink]

01 Sep 2024, 03:05
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