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Which of the following numbers will replace the question mark (?) in the given series?
67,83,71,91,80,118,?
116
96
100
98
- The series follows a specific pattern. Let's break it down:
- Start from the first term and observe the next ones.
- 67 to 83: Increase by 16 (83 = 67 + 16)
- 83 to 71: Decrease by 12 (71 = 83 - 12)
- 71 to 91: Increase by 20 (91 = 71 + 20)
- 91 to 80: Decrease by 11 (80 = 91 - 11)
- 80 to 118: Increase by 38 (118 = 80 + 38)
- The pattern alternates between increasing and decreasing numbers.
- The increase values are 16, 20, and 38, while the decrease values are 12 and 11.
- Following the pattern, after an increase by 38, a decrease is expected.
- Now, calculate the next number:
- 118 to ?: Decrease by 22 (since 22 is a familiar decrement)
- 118 - 22 = 96. This follows the logical decrease pattern of the series.
- Options:
- 116
- 96
- 100
- 98
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