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On the scale drawing of a certain house plan if 1 centimeter represent

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On the scale drawing of a certain house plan if 1 centimeter represent [#permalink]

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New post 01 Jul 2016, 07:02
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On the scale drawing of a certain house plan, if 1 centimeter represents x meters, what is the value of x?

(1) A rectangular room that has a floor area of 12 square meters is represented by a region of area 48 square centimeters.
(2) The 15-meter length of the house is represented by a segment 30 centimeters long.


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Re: On the scale drawing of a certain house plan if 1 centimeter represent [#permalink]

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New post 01 Jul 2016, 07:50
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D

both equations can be suff to find metre/centimetre i.e. =2
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Re: On the scale drawing of a certain house plan if 1 centimeter represent [#permalink]

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New post 01 Jul 2016, 08:02
Answer is D : Both are individually sufficient

Based on question, 1 cm is scale of x m, so 1 sq.cm is scale of \(x^2\) sq.m

(1) A rectangular room that has a floor area of 12 square meters is represented by a region of area 48 square centimeters.
Based on this and using the statement from the question, we can equate as, if 1 sq.cm : \(x^2\) sq.m :: 48 sq.cm : 12 sq.m.
No need to solve, but we know x can be solved, so Select A and D

(2) The 15-meter length of the house is represented by a segment 30 centimeters long.
This is straight forward to derive x, so select D.

Answer is therefore D
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Re: On the scale drawing of a certain house plan if 1 centimeter represent [#permalink]

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New post 26 Feb 2017, 22:59
can someone please elaborate on why statement (1) is sufficient? Stmt 2 is clear. Thanks!
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Re: On the scale drawing of a certain house plan if 1 centimeter represent [#permalink]

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New post 27 Feb 2017, 08:44
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let L and B are the length and breadth of rectangle area = Lx B = 12 sq m

1 cm = x mtr ; 1mtr =1/x cm

on map area L/x * B/ x = 48 ; LxB=12 given

x = .5

Hence A alone also sufficient
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Re: On the scale drawing of a certain house plan if 1 centimeter represent [#permalink]

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New post 04 May 2017, 13:05
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AbdurRakib wrote:
On the scale drawing of a certain house plan,if 1 centimeter represents x meters,what is the value of x?

(1) A rectangular room that has a floor area of 12 square meters is represented by a region of area 48 square centimeters.
(2) The 15-meter length of the house is represented by a segment 30 centimeters long.


OG Q 2017 New Question(Book Question: 189)


This question was so easy I spent 2 minutes trying to figure out if there was a trick :lol:

1 cm is represented by x m. This is a ratio of \(\frac{1 cm}{x m}\)

Statement 1: You have a rectangle with an area of 48 \(cm^2\) that represents a rectangle with area 12 \(m^2\). That means \(\frac{48}{12} = \frac{1}{x}\). This is sufficient.

Statement 2: You have a line that is 30 cm long that represents 15 m. That means \(\frac{30}{15} = \frac{1}{x}\). This is sufficient.

Both sufficient, answer is D.
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Re: On the scale drawing of a certain house plan if 1 centimeter represent [#permalink]

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New post 22 Sep 2017, 16:56
How is Statment 1 sufficient here? I'm just not following. I understand statement 2. Why are people squaring things at all in statement 1? x^2??
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Re: On the scale drawing of a certain house plan if 1 centimeter represent [#permalink]

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New post 23 Sep 2017, 04:37
PurpleDrank3000 wrote:
How is Statment 1 sufficient here? I'm just not following. I understand statement 2. Why are people squaring things at all in statement 1? x^2??


1 centimeter represents x meters --> 1 centimeter^2 = x^2 meters.

(1) talks about the area, hence squaring.
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Re: On the scale drawing of a certain house plan if 1 centimeter represent [#permalink]

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New post 02 Jun 2018, 04:50
gmatbusters niks18 Abhishek009 amanvermagmat

Quote:
On the scale drawing of a certain house plan, if 1 centimeter represents x meters, what is the value of x?

(1) A rectangular room that has a floor area of 12 square meters is represented by a region of area 48 square centimeters.
(2) The 15-meter length of the house is represented by a segment 30 centimeters long.


Can anyone help me to simplify the statements and help me know if in approach used by
joondez , when we take two proportions we must have same units on LHS and RHS. In this approach,
we have units of area on LHS and length on RHS. Also how user has assumed 48\(cm^2\) as area of rectangle?
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Re: On the scale drawing of a certain house plan if 1 centimeter represent [#permalink]

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New post 02 Jun 2018, 05:11
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adkikani wrote:
gmatbusters niks18 Abhishek009 amanvermagmat

Quote:
On the scale drawing of a certain house plan, if 1 centimeter represents x meters, what is the value of x?

(1) A rectangular room that has a floor area of 12 square meters is represented by a region of area 48 square centimeters.
(2) The 15-meter length of the house is represented by a segment 30 centimeters long.


Can anyone help me to simplify the statements and help me know if in approach used by
joondez , when we take two proportions we must have same units on LHS and RHS. In this approach,
we have units of area on LHS and length on RHS. Also how user has assumed 48\(cm^2\) as area of rectangle?


hi adkikani

you are partly correct here. the calculation for statement 1 as per joondez approach is incorrect, hence you will get two different values of \(x\) from statement 1 & 2 and they are 1/4 & 1/2 respectively which is not possible in GMAT. GMAT DS statements gives the same value for any particular variable.

Statement 1 should be solved as \(\frac{48}{12}=\frac{1}{x^2}\)

Do note that a Ratio per-say does not have any unit., you can have a scenario where ratio of area equals ratio of length but that is not the case here.

If you read the stem carefully you will realize that x is simply a multiple that when multiplied by length on map results in actual length,

so in effect we have Actual length/breadth \(= x*\)Length/breadth on Map

Statement 1 mentions that the floor whose actual area is \(12m^2\) is represented by area of \(48cm^2\) on map which implies that area of floor as per map is 48.

Hence Actual area\(=x^2*\)Area on Map
Re: On the scale drawing of a certain house plan if 1 centimeter represent   [#permalink] 02 Jun 2018, 05:11
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