Correct Answer - Option 2 : 3/8
Calculations:
a/b = 2/5, b/c = 15/7, c/d = 3/2, d/e = 28/3, e/f = 5/8
Now, a/d = a/b × b/c × c/d
⇒ a/d = (2/5) × (15/7) × (3/2) = 9/7 ----(1)
b/e = b/c × c/d × d/e
⇒ b/e = (15/7) × (3/2) × (28/3) = 30
⇒ e/b = 1/30 ----(2)
c/f = c/d × d/e × e/f
⇒ c/f = (3/2) × (28/3) × (5/8) = 35/4 ----(3)
Multiplying (1), (2) and (3), we get
a/d × e/b × c/f = (9/7) × (1/30) × (35/4)
⇒ aec/dbf = 3/8
∴ The value of aec/dbf is 3/8.
