If a/b = 51/54 , c/d = 440/493, b/c = 29/32, e/f = 493/608 and d/e = 38/55 then what is the value o

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22 Jul 2019 Fraction

If a/b = 51/54 , c/d = 440/493, b/c = 29/32, e/f = 493/608 and d/e = 38/55 then what is the value of (abc/def)*17 ?

OPtion

1) 1005/188
2) 522/144
3) 261/72
4) 131/36
5) 1045/188
6) 104/29
7) 101/27
8) 145/28
9) 1045/288
10) None of these

Solution

a/d = (a/b)*(b/c)*(c/d) = 55/72
b/e = (b/c)*(c/d)*(d/e) = 19/34
c/f = (c/d)*(d/e)*(e/f) = 1/2

So 17*abc/def = 17*(a/d)*(b/e)*(c/f) = 17*(55/72) * (19/34) * (1/2) = 55*19*1/288 = 1045/288

Option 9)

Correct Option: 9 Best Solution (2)