If a/b = 4/11, e/f = 13/40, d/e = 10/11, c/d = 55/26 and b/c = 13/15. What is the value of abc/def

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07 Apr 2018 Ratio

If a/b = 4/11, e/f = 13/40, d/e = 10/11, c/d = 55/26 and b/c = 13/15. What is the value of abc/def

OPtion

1) 1
2) 25/26
3) 16/49
4) 25/36
5) 4/5
6) 16/25
7) 5/8
8) 8/25
9) 4/15
10) None of these

Solution

a/d = (a/b)*(b/c)*(c/d) = (4/11)*(13/15)*(55/26) = 2/3
b/e = (b/c)*(c/d)*(d/e) = (13/15)*(55/26)*(10/11) = 5/3
c/f = (c/d)*(d/e)*(e/f) = (55/26)*(10/11)*(13/40) = 5/8

So abc/def = (a/d)*(b/e)*(c/f) = (2/3)*(5/3)*(5/8) = 25/36

Option 4)

Correct Option: 4 Best Solution (1)