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Q.

Let S N  {0}. Define a relation R from S to R by: R=(x,y):logey=xloge25,xS,yR. Then, the sum of all the elements in the range of R is equal to

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a

10/9

b

3/2

c

5/2

d

5/3

answer is B.

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Detailed Solution

S = {0, 1, 2, 3 …..}
log0y=xlog025y=25x
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Sum = 1+251+252+253+.=1125=53

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Let S N ∪ {0}. Define a relation R from S to R by: R=(x,y):loge⁡y=xloge⁡25,x∈S,y∈R. Then, the sum of all the elements in the range of R is equal to