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Which of the following numbers will replace the question mark (?) in the given series?
14, 26, 11, ?, 8, 32
29
22
25
18
Let's analyze the sequence: 14, 26, 11, ?, 8, 32
- Look for a pattern. The numbers don't increase consistently, so let's check alternating sequences:
- 14, 11, 8: Each number decreases by 3.
- 14 - 3 = 11
- 11 - 3 = 8
- Now check the other alternating sequence:
- 26, ?, 32:
- 26 + ? = 32 is not arithmetic, but let's check if there's a pattern:
- 26 + 6 = 32 ? So, ? should be 32 - 6 = 26 (but 26 is already used).
- Let's try the difference backward: 32 - 26 = 6, so the increase is by 6.
- If we go backwards, 26 - 7 = 19, but 32 - 26 = 6 (the increase is not constant).
- Now, check positions:
- 1st: 14 2nd: 26 3rd: 11 4th: ? 5th: 8 6th: 32
- Seems like: 14 ? 11 ? 8 (decreasing by 3 each time)
- 26 ? ? ? 32: Let's see if a decrease and then an increase is possible:
- Options for ?: 29, 22, 25, 18
- 26, 29, 32: 26 + 3 = 29, 29 + 3 = 32 (increases by 3)
- So, the alternate sequence increases by 3 each time.
- Let's match:
- Odd positions: 14, 11, 8 (each -3)
- Even: 26, 29, 32 (each +3)
So the correct answer is: Option:1, 29
Summary:
- Sequence alternates, with one set decreasing by 3, the other increasing by 3.
- Odd positions: 14 ? 11 ? 8 (–3 each)
- Even: 26 ? ? ? 32 (+3 each, so ? is 29)
- Therefore, option 1 (29) is correct.
By: santosh ProfileResourcesReport error
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