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The distance between two points is X. The number of inches [#permalink]
07 Mar 2012, 17:30

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Difficulty:

85% (hard)

Question Stats:

43% (02:11) correct
57% (01:10) wrong based on 150 sessions

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]
07 Mar 2012, 21:59

4

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Expert's post

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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]
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.

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

"How far that little candle throws his beams. So shines a good deed in a weary world." - Shakespeare

Re: The distance between two points is X. The number of inches [#permalink]
01 Sep 2014, 04:54

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