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150, 144, 186, 199, 210, 217, 222...

150, 144, 186, 199, 210, 217, 222

A

186

B

144

C

217

D

222

Text Solution

AI Generated Solution

The correct Answer is:
To find the odd one out in the series: 150, 144, 186, 199, 210, 217, 222, we will analyze the differences between the numbers and identify the pattern. ### Step-by-Step Solution: 1. **List the Numbers**: Write down the series clearly. - Series: 150, 144, 186, 199, 210, 217, 222 2. **Calculate the Differences**: Find the differences between consecutive numbers in the series. - 144 - 150 = -6 - 186 - 144 = 42 - 199 - 186 = 13 - 210 - 199 = 11 - 217 - 210 = 7 - 222 - 217 = 5 So, the differences are: -6, 42, 13, 11, 7, 5. 3. **Identify the Pattern**: Look for a pattern in the differences. - The differences after the first one (42, 13, 11, 7, 5) seem to be decreasing and are prime numbers: 5, 7, 11, 13. 4. **Check the First Difference**: The first difference (-6) does not fit the pattern of the subsequent differences, which are all positive and prime numbers. 5. **Determine the Correct Number**: If we were to follow the pattern of adding prime numbers: - Starting from 150, the next prime number after 5 would be 7, then 11, then 13, and then 17. - If we add 19 (the next prime number) to 150, we should get 169. 6. **Conclusion**: Since 144 does not fit into the pattern of prime number differences, it is the odd one out in the series. ### Final Answer: The odd one out in the given series is **144**.
To find the odd one out in the series: 150, 144, 186, 199, 210, 217, 222, we will analyze the differences between the numbers and identify the pattern. ### Step-by-Step Solution: 1. **List the Numbers**: Write down the series clearly. - Series: 150, 144, 186, 199, 210, 217, 222 2. **Calculate the Differences**: Find the differences between consecutive numbers in the series. ...
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