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125,123,120,115,108,100,84...

125,123,120,115,108,100,84

A

123

B

115

C

100

D

84

Text Solution

AI Generated Solution

The correct Answer is:
To determine the odd number out in the series 125, 123, 120, 115, 108, 100, 84, we can analyze the differences between consecutive numbers. ### Step-by-Step Solution: 1. **Identify the series**: The given series is 125, 123, 120, 115, 108, 100, 84. 2. **Calculate the differences**: - 125 to 123: \( 125 - 123 = 2 \) - 123 to 120: \( 123 - 120 = 3 \) - 120 to 115: \( 120 - 115 = 5 \) - 115 to 108: \( 115 - 108 = 7 \) - 108 to 100: \( 108 - 100 = 8 \) - 100 to 84: \( 100 - 84 = 16 \) So the differences are: 2, 3, 5, 7, 8, 16. 3. **Analyze the pattern**: - The differences between the numbers seem to be decreasing initially (2, 3, 5, 7), but then there is a jump to 8 and then to 16. - The first four differences (2, 3, 5, 7) are consecutive prime numbers, but the difference from 108 to 100 (8) and from 100 to 84 (16) do not follow this pattern. 4. **Identify the odd number**: - The number 100 stands out because it breaks the pattern established by the previous differences. The differences before it are all smaller and follow a sequence of increasing primes, while the jump to 8 is inconsistent with the previous pattern. 5. **Conclusion**: - Therefore, the odd number out in the series is **100**.
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