The given series is 5, 10, 20, 40, 100, 150, 200. To find the odd one out, let's examine the pattern:
- 5 to 10: multiplied by 2
- 10 to 20: multiplied by 2
- 20 to 40: multiplied by 2
- 40 to 100: here, it breaks the pattern of multiplication by 2. Instead, it's multiplied by 2.5
- 100 to 150: seems arbitrary
- 150 to 200: addition of 50
To maintain a consistent pattern, each term should ideally follow a consistent multiplication rule. The sudden changes at 150 indicate it doesn't fit this sequence behaviorally. Given this, the odd number out is 150.