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?
Can anyone provide a solution for this ??
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- adthedaddy
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Here we have to assume that the relation is linear.
From the given condition, we can frame a linear eqn as -
S=Rx+y......................(1)
42=24x+y
60=30x+y
solving the above eqns, we get
x=3, y=-30
Substituting x,y in the eqn(1)
S=3R-30......................(2)
Now, we have to find R for S=100.
Substituting S in Eqn(2), we get
100=3R-30
Therefore, R=130/3
Plz confirm the OA
From the given condition, we can frame a linear eqn as -
S=Rx+y......................(1)
42=24x+y
60=30x+y
solving the above eqns, we get
x=3, y=-30
Substituting x,y in the eqn(1)
S=3R-30......................(2)
Now, we have to find R for S=100.
Substituting S in Eqn(2), we get
100=3R-30
Therefore, R=130/3
Plz confirm the OA
Hi.
Seems there is one more solution apart from the one provided by you.
Below it is .
Let the scales R and S are not linearly related. and let the relation be in the form S = (a/R) + b
From the question stem
42 = (a/24) + b => 1008 = a + 24b
60 = (a/30) + b => 1800 = a + 30b
Subtract the first equation from the second.
1800 - 1008 = a + 30b - (a + 24b)
792 = 6b
a = -2160 and b = 132
So if S = 100 R = -2160/(100-132) = 67.5
Link for the solution.
https://www.beatthegmat.com/tough-math-p ... 22454.html
Seems there is one more solution apart from the one provided by you.
Below it is .
Let the scales R and S are not linearly related. and let the relation be in the form S = (a/R) + b
From the question stem
42 = (a/24) + b => 1008 = a + 24b
60 = (a/30) + b => 1800 = a + 30b
Subtract the first equation from the second.
1800 - 1008 = a + 30b - (a + 24b)
792 = 6b
a = -2160 and b = 132
So if S = 100 R = -2160/(100-132) = 67.5
Link for the solution.
https://www.beatthegmat.com/tough-math-p ... 22454.html
- adthedaddy
- Master | Next Rank: 500 Posts
- Posts: 167
- Joined: Fri Mar 09, 2012 8:35 pm
- Thanked: 39 times
- Followed by:3 members
Thanks for the alternate solution.
As there are different answers by following the linear and non-linear approach, what is the original answer ?
I guess, if such a question comes in the exam then there would've been clearly mentioned on the same whether the relation is linear or non-linear.
As there are different answers by following the linear and non-linear approach, what is the original answer ?
I guess, if such a question comes in the exam then there would've been clearly mentioned on the same whether the relation is linear or non-linear.