Question:

Find the missing number in the series: 387924, ?, 3724, 423, 32, 2

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When working with number sequences, dividing by a constant value (like 10) is a good approach to find the next number in the series.
Updated On: Jun 3, 2025
  • 42978
  • 42783
  • 42983
  • 42683
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The Correct Option is A

Approach Solution - 1

The pattern in this series can be observed by dividing each number by 10 (rounded) to get the next number: - 387924 / 10 = 42978 (the missing number). Thus, the missing number is 42978.
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Approach Solution -2

Given the series: 387924, ?, 3724, 423, 32, 2

To find the missing number, let's analyze the pattern:

- From 387924 to the missing number (?), there appears to be a removal or rearrangement of digits.
- From the missing number to 3724, digits seem to reduce, suggesting a stepwise decrease by removing digits or dividing.

Notice the trend in the last few terms:
- 3724 → 423 → 32 → 2

Each term appears to be formed by dropping one or more digits or transforming the number:
- 3724 drops the leading digit '7' from 42978 to become 3724.
- 423 drops the leading digit '7' from 3724.
- 32 drops the '4' from 423.
- 2 drops the '3' from 32.

Given this, the missing number is 42978, which fits the progression from 387924 to 3724.

Conclusion:
The missing number in the series is 42978.
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