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Question

Which of the following numbers will replace the question marks (?) in the given series?
$10, 20, 15, ?, ?, 30, 25, 35, 30$

The correct answer is
25, 20

Analyzing the Number Series Pattern

The given number series is: 10, 20, 15, ?, ?, 30, 25, 35, 30.

We need to identify the pattern to find the two missing numbers represented by question marks (?).

Identifying the Sequence Logic

Let's examine the differences between consecutive terms:

  • $20 - 10 = +10$
  • $15 - 20 = -5$
  • $25 - 15 = +10$ (Hypothesized first missing number)
  • $20 - 25 = -5$ (Hypothesized second missing number)
  • $30 - 20 = +10$ (Checks the pattern after the second missing number)
  • $25 - 30 = -5$
  • $35 - 25 = +10$
  • $30 - 35 = -5$

The observed pattern is a repeating sequence of operations: add 10, then subtract 5.

Calculating Missing Numbers

Applying the identified pattern (+10, -5) to find the missing numbers:

  1. Start with the number 15.
  2. Add 10: $15 + 10 = 25$. This is the first missing number.
  3. Subtract 5 from the result: $25 - 5 = 20$. This is the second missing number.

The series becomes: 10, 20, 15, 25, 20, 30, 25, 35, 30.

The pattern holds true for the rest of the series.

Conclusion

The numbers that replace the question marks are 25 and 20.

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Important Questions from Number Series

  1. Select the number from among the given options that can replace the question mark (?) in the following series.

    37, 52, 74, 104, 143, ?

  2. Select the number that can replace the question mark (?) in the following series.

    17, 19, 22, 27, 34, 45, 58,?
  3. Select the number from among the given options that can replace the question mark (?) in the following series.

    10, 14, 31, 35, 73, 77, ?

  4. Select the number from among the given options that can replace the question mark (?) in the following series.

    215, 231, 256, 292, ?

  5. Select the number from among the given options that can replace the question mark (?) in the following series.

    6, 6, 8, 24, 28, 140, ?

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