Question

Six numbers a, b, c, d, e, f are such that ab = 1, `bc = 1/2`, cd = 6, de = 2 and `ef = 1/2`. What is the value of (ad : be : cf)?

Options

• 4 : 3 : 27

• 6 : 1 : 9

• 8 : 9 : 9

• 72 : 1 : 9

Answer 1

72 : 1 : 9

Explanation:

Using the given products,

`ad = (ab)(cd)/(bc) = 12, be = (bc)(de)/(cd) = 1/6`, and `cf = (cd)(ef)/(de) = 3/2`. 

Multiplying by 6 gives 72 : 1 : 9.