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# A certain quantity is measured on two different scales, the

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Manager
Joined: 25 Mar 2008
Posts: 105

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A certain quantity is measured on two different scales, the [#permalink]

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05 Oct 2008, 02:13
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A certain quantity is measured on two different scales, the R-scale and the S-scale, that are related linearly. Measurements on the the R-scale of 6 and 24 correspond to measurements on the S-scale of 30 and 60. what measurement on the R-scale corresponds to a measurement of 100 on the S-scale?

A.20
B.36
C.48
D.60
E.84

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Manager
Joined: 10 Aug 2008
Posts: 74

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05 Oct 2008, 02:49
Relation between R & S is linear given.

so let assume the relation is S = mR + c, whear a & c is constant (eq of linear eq y = mx + c).

30 = 6m + c --- 1st eq
60 = 24m + c ---- 2nd eq

By solving both eq , m = 5 / 3 & c = 20

so now we have to calculate R
100 = 5/3R + 20

R = 48.

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SVP
Joined: 17 Jun 2008
Posts: 1534

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05 Oct 2008, 11:55
I used similar approach differently.

A difference of (24-6) on R scale corresponds to a difference of (60-30) on S scale.

Hence, a difference of 40 on S scale will correspond to (18*40)/30 on R scale, i.e. 24.

Now, difference between 60 and 100 on S scale is 40 and this corresponds to the difference between 24 and 24+24 = 48.

Kudos [?]: 279 [0], given: 0

Re: PS   [#permalink] 05 Oct 2008, 11:55
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