If a/b = 21/34, b/c = 121/120, c/d = 17/77, e/f = 11/15 and d/e = 14/17 then what is the value of (a

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04 Oct 2018 Fraction

If a/b = 21/34, b/c = 121/120, c/d = 17/77, e/f = 11/15 and d/e = 14/17 then what is the value of (abc/def)*2 ?

OPtion

1) 100
2) 200
3) 1/3
4) 2/595
5) 110/360
6) 77/180
7) 121/360
8) 121/260
9) 19/60
10) None of these

Solution

a/d = (a/b)*(b/c)*(c/d) = 11/80
b/e = (b/c)*(c/d)*(d/e) = 11/60
c/f = (c/d)*(d/e)*(e/f) = 2/15

So 100*abc/def = 100*(a/d)*(b/e)*(c/f) = 100*(11/80) *(11/60) * (2/15) = 121/18000

Option 10)

Correct Option: 7 Best Solution (3)