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The distance between two points is X. The number of inches [#permalink]

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07 Mar 2012, 17:30

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Question Stats:

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The distance between two points is X. The number of inches in X is equal to the square root of the number of feet in X (1 foot =12 inches.) What is the length of X, in inches?

A. 144 B. 12 C. 1 D. 1/12 E. 1/144

I'm have problems understanding this question... Please Help!!!

Re: The distance between two points is X - Master GMAT [#permalink]

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07 Mar 2012, 17:34

rsaraiya wrote:

The distance between two points is X. The number of inches in X is equal to the square root of the number of feet in X (1 foot =12 inches.) What is the length of X, in inches?

(a) 144 (b) 12 (c) 1 (d) 1/12 (e) 1/144

Have problems understanding this question... Please Help!!!

I'll post the official explanation below.

Here is Master GMAT's explanation... I couldn't really follow their steps... I kept getting (a)

If X is 1/12 inches long, there are [(1/12)inches /12] = [1/144]ft in X. Since (1/12) = Sqrt(1/144) the number of inches is equal to the square root of the number of feet in X, and this is the correct answer.

The distance between two points is X. The number of inches in X is equal to the square root of the number of feet in X (1 foot =12 inches.) What is the length of X, in inches?

(a) 144 (b) 12 (c) 1 (d) 1/12 (e) 1/144

I'm have problems understanding this question... Please Help!!!

I'll post the official explanation below.

Say # of inches in X is \(a\), then # of feet in X is \(\frac{a}{12}\), (since 1 foot =12 inches). Question: the length of X, in inches = \(a\) = ?

We are told that \(a\) is equal to the square root of \(\frac{a}{12}\) --> \(a=\sqrt{\frac{a}{12}}\) --> \(a^2=\frac{a}{12}\) --> \(a=\frac{1}{12}\).

Re: The distance between two points is X - Master GMAT [#permalink]

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07 Mar 2012, 23:10

Bunuel wrote:

rsaraiya wrote:

The distance between two points is X. The number of inches in X is equal to the square root of the number of feet in X (1 foot =12 inches.) What is the length of X, in inches?

(a) 144 (b) 12 (c) 1 (d) 1/12 (e) 1/144

I'm have problems understanding this question... Please Help!!!

I'll post the official explanation below.

Say # of inches in X is \(a\), then # of feet in X is \(\frac{a}{12}\), (since 1 foot =12 inches). Question: the length of X, in inches = \(a\) = ?

We are told that \(a\) is equal to the square root of \(\frac{a}{12}\) --> \(a=\sqrt{\frac{a}{12}}\) --> \(a^2=\frac{a}{12}\) --> \(a=\frac{1}{12}\).

Re: The distance between two points is X - Master GMAT [#permalink]

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05 Feb 2013, 20:03

Bunuel wrote:

rsaraiya wrote:

The distance between two points is X. The number of inches in X is equal to the square root of the number of feet in X (1 foot =12 inches.) What is the length of X, in inches?

(a) 144 (b) 12 (c) 1 (d) 1/12 (e) 1/144

I'm have problems understanding this question... Please Help!!!

I'll post the official explanation below.

Say # of inches in X is \(a\), then # of feet in X is \(\frac{a}{12}\), (since 1 foot =12 inches). Question: the length of X, in inches = \(a\) = ?

We are told that \(a\) is equal to the square root of \(\frac{a}{12}\) --> \(a=\sqrt{\frac{a}{12}}\) --> \(a^2=\frac{a}{12}\) --> \(a=\frac{1}{12}\).

Answer: D.

Thank you for the explanation, very helpful, but is this really a sub-600 level question?
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Re: The distance between two points is X. The number of inches [#permalink]

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01 Sep 2014, 04:54

Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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: The distance between two points is X. The number of inches [#permalink]

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03 Aug 2016, 06:46

Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: The distance between two points is X. The number of inches [#permalink]

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03 Aug 2016, 07:59

rsaraiya wrote:

The distance between two points is X. The number of inches in X is equal to the square root of the number of feet in X (1 foot =12 inches.) What is the length of X, in inches?

A. 144 B. 12 C. 1 D. 1/12 E. 1/144

I'm have problems understanding this question... Please Help!!!

I'll post the official explanation below.

X inches = \sqrt{X in feet}

1 inch = 1/12 foot X inches= X/12 feet X inches= \sqrt{X/12}

Squaring both sides:-

X^2= X/12 X= 1/12

D is the answer
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I welcome critical analysis of my post!! That will help me reach 700+