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Which number will replace the question mark (?) in the following series?
98, 95, 86, 82, 66, ?, 36
63
58
60
61
Let's break down the sequence:
- 98 to 95: Minus 3
- 95 to 86: Minus 9
- 86 to 82: Minus 4
- 82 to 66: Minus 16
- 66 to ?: ?
- ? to 36: ?
Look at the pattern of differences: -3, -9, -4, -16
- The differences alternate between small and large numbers.
- -3, -4 (decrease by 1), -9, -16 (difference grows, -9 then -16: both are multiples of 8 and 9 by 1, respectively?)
Checking for alternating pattern:
- 98 ? 95 (minus 3)
- 95 ? 86 (minus 9)
- 86 ? 82 (minus 4)
- 82 ? 66 (minus 16)
- 66 ? ?
- ? ? 36
If we keep the alternating small/large-minus pattern going:
- After -16, next should be a "small" step, following -3 then -4. Pattern: -3, -9, -4, -16, -5?
- 66 - 5 = 61
- Then, check next step: 61 - ? = 36 ? 61 - 25 = 36. Large step -25, and the pattern of large numbers: -9, -16, -25 (difference increases by 7 and 9).
So, the correct answer is:
Option 4: 61
- The difference alternates: small (-3, -4), big (-9, -16, -25), numbers go down.
- "Small difference" after -4 is -5.
- So, 66 - 5 = 61, and then 61 - 25 = 36.
By: santosh ProfileResourcesReport error
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