Question

If a/b = 1/3, b/c = 1/2, c/d = 6/7,e/f = 14/9 and d/e = 7/2 and, then what is the value of abc/def ?

Answer 1

its answer is one ratio one

Answer 2

Given,

a/b = 1/3

b/c = 1/2

c/d = 6/7

e/f = 14/9

d/e = 7/2

We have,

a/b*b/c*c/d = a/d

a/d = 1/3*1/2*6/7

{From given}

= 1/7.... (1)

Again,

b/c*c/d*d/e = b/e

b/e = 1/2*6/7*7/2

{from given}

= 6/4

= 3/2 .... (2)

And,

c/d*d/e*e/f = c/f

c/f = 6/7*7/2*14/9

{from given}

= 14/3 .... (3)

Multiplying (1),(2) and (3)

(a*b*c)/(d*e*f) = 1/7*3/2*14/3

= 1

In these questions, we just have to derive the required expression by proper use of given expressions.

Always try to use different combinations possible so as to get a better idea f the question.