If a/b = 2/3, b/c = 1, c/d = 1/2, d/e = 3 and e/f = 1/2, then what is the value of abc/def ?

M4maths Previous Puzzles

13 Dec 2016 Raio

If a/b = 2/3, b/c = 1, c/d = 1/2, d/e = 3 and e/f = 1/2, then what is the value of abc/def ?

OPtion

1) 3
2) 1
3) 3/2
4) 3/4
5) 3/5
6) 3/7
7) 3/8
8) 1/3
9) 3/10
10)3/11

Solution

a/d = (a/b)*(b/c)*(c/d) = (2/3)*(1)*(1/2) = 1/3
b/e = (b/c)*(c/d)*(d/e) = (1)*(1/2)*(3) = 3/2
c/f = (c/d)*(d/e)*(e/f) = (1/2)*(3)*(1/2) = 3/4

So abc/def = (a/d)*(b/e)*(c/f) = (1/3)*(3)*(3/4) = 3/8

Option 7)

Correct Option: 7 Best Solution (0)