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Two measure standards R and S. 24 and 30 measured with R are

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DLMD
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Two measure standards R and S. 24 and 30 measured with R are [#permalink] New post   25 Jan 2005, 17:02
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Two measure standards R and S. 24 and 30 measured with R are 42 and 60 when they are measured with S, respectively. If 100 is acquired with S, what would its value be measured with R?



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Re: Two measure standards R and S. 24 and 30 measured with R are [#permalink] New post   Updated on: 25 Jan 2005, 22:41
One approach is a linear eqn: y = mx+c

Given two points (24, 42) and (30,60) on the line, find the x coordinate of third point (x, 100)

Originally posted by mantha on 25 Jan 2005, 18:24.
Last edited by mantha on 25 Jan 2005, 22:41, edited 1 time in total.
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Re: Two measure standards R and S. 24 and 30 measured with R are [#permalink] New post   25 Jan 2005, 18:43
Not able to find any correlation between the numbers....wud have picked a number close to 42 or 44, from the ans choices. :?
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Re: Two measure standards R and S. 24 and 30 measured with R are [#permalink] New post   25 Jan 2005, 19:10
R a multiple of 6 and S a multiple of 10.

In answer choices is there a multiple of six? If yes, then pick that.

I exhausted my 75 min on this question alone:-)
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Re: Two measure standards R and S. 24 and 30 measured with R are [#permalink] New post   25 Jan 2005, 19:21
Question is not very clear. But, let me attempt:

I don't think there is a single answer - there are infinite number of solutions.

Well, depending on the choices we can pick one.
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Re: Two measure standards R and S. 24 and 30 measured with R are [#permalink] New post   25 Jan 2005, 22:09
S=a+bR
42=a+b*24
60=a+b*30

=>b=3
a=-30

100=-30+3R
R=130/3
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Re: Two measure standards R and S. 24 and 30 measured with R are [#permalink] New post   25 Jan 2005, 22:16
A short cut of solving this if you are given a set of choices to choose from

R 24 30
S 42 60
S-R 18 30
Notice 100 is about the same distance to 60 as 18.
You can conjuncture that R is about 30+(30-18)=42, which is very close to 130/3=43.3
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Re: Two measure standards R and S. 24 and 30 measured with R are [#permalink] New post   25 Jan 2005, 22:37
R => 24 30 change 6
S => 42 60 change 18
S => 60 100 change 40

R = 30+40*6/18= 43.3
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Re: Two measure standards R and S. 24 and 30 measured with R are [#permalink] New post   26 Jan 2005, 07:34
Lemme help you comprehend the question..

There are 2 standards R and S.
If standard R is applied, 24 and 30 give 42 as result.
If standard S is applied, 24 and 30 give 60 as the result.
Now if for some values, we get 100 on application of S.. what would we get if we apply standard R on the same values?

Now any comments?



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Re: Two measure standards R and S. 24 and 30 measured with R are [#permalink]
26 Jan 2005, 07:34
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