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Select the number from among the given options that can replace the question mark (?) in the following series.
28, 18, 12, 8, ?
3
5
2
4
Let's break down the sequence:
- 28, 18, 12, 8, ?
Let's look for a pattern:
- 28 - 18 = 10
- 18 - 12 = 6
- 12 - 8 = 4
The differences are 10, 6, and 4. Notice that the difference is reducing each time by 4, then 2:
- 10 (reduce by 4) ? 6 (reduce by 2) ? 4
- Next difference should be 2 (since the pattern reduces by 2 each time: -4, -2, -2).
So next number: 8 - 2 = 6
Now, check the options:
- 1) 3
- 2) 5
- 3) 2
- 4) 4
None of the options is 6. Let's check if another pattern fits.
Maybe the sequence is halving or a division pattern?
- 28 / 2 = 14 (not matching series)
Let's reconsider.
Try subtracting decreasing even numbers:
- 28 - 10 = 18
- 18 - 6 = 12
- 12 - 4 = 8
- 8 - 2 = 6
None of the options fit directly. Let's check other possible relationships.
Alternatively, let’s check if there's a multiplication ratio:
- 28 / 18 ˜ 1.56
- 18 / 12 = 1.5
- 12 / 8 = 1.5
The ratios do not seem consistent.
Maybe try further, but based on above, perhaps there’s an error in the options.
But with pure subtraction:
Expected next is 6, but not in options, so let's double-check differences:
- If pattern is subtracting consecutive even numbers: 10, 6, 4, 2
But in your options, none matches. If we overlook the pattern, perhaps 4 is possible if subtracting by 4 each time after 12.
But sequence shows:
- 28, ? -10 ? 18, ? -6 ? 12, ? -4 ? 8, ? -2 ? 6
But since 6 isn't available, maybe option 4: 4 is closest under a possible typo or misprint.
Summary of options:
- 1. 3: Not fitting any pattern above
- 2. 5: Not explained by the established pattern
- 3. 2: Would require a -6 difference, not matching
- 4. 4: Would require a -4 difference, which already occurred previously
Even so, strictly by the pattern, none fit exactly. The only plausible answer by continuity and reduction is option 4: 4 if sequence error.
Correct Answer: Option 4 – 4
By: santosh ProfileResourcesReport error
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