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52,51,48,43,34,27,16...

52,51,48,43,34,27,16

A

27

B

34

C

43

D

48

Text Solution

AI Generated Solution

The correct Answer is:
To determine the odd number in the series 52, 51, 48, 43, 34, 27, 16, we will analyze the pattern of differences between consecutive terms. ### Step-by-Step Solution: 1. **Identify the Series**: The given series is 52, 51, 48, 43, 34, 27, 16. 2. **Calculate the Differences**: - 52 - 51 = 1 - 51 - 48 = 3 - 48 - 43 = 5 - 43 - 34 = 9 - 34 - 27 = 7 - 27 - 16 = 11 So, the differences are: 1, 3, 5, 9, 7, 11. 3. **Analyze the Pattern of Differences**: - The differences seem to follow a pattern of increasing odd numbers, but there is an anomaly: - 1 (1) - 3 (3) - 5 (5) - 9 (9) - 7 (7) - This is where the pattern breaks. - 11 (11) 4. **Identify the Odd One Out**: - The expected difference after 5 should have been 7, but we see 9 instead. - If we had followed the pattern correctly, the next difference after 5 should have been 7, which would have made the next term after 43 equal to 36 (not 34). 5. **Conclusion**: - Since 34 does not fit the established pattern of differences, it is the odd one out in the series. ### Final Answer: The odd number in the series is **34**.
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