If a : b = 2 : 3 and 2 : a =1 : 2, then the value of 'b'

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If a : b = 2 : 3 and 2 : a =1 : 2, then the value of 'b' is ?

1. 4
2. 6
3. 1 / 3
4. 3 / 2

Correct Option: B

∵ a / b = 2/3 and 2 / a = 1/2
⇒ a/b x 2/a = 2/3 x 1/2
⇒ 2/b = 1/3
∴ b = 6