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Question

Select the numbers from among the given options that can replace the question marks (?) in the same sequence and make the series logically complete. 

16, 22, 13, 19, 10, ?, 7, ?

This question was previously asked in
PYST : General Awareness - SSC Stenographer 2024 (Tier-I) (10-Dec-2024) (Shift 2)
The correct answer is

16, 13

The given series is 16, 22, 13, 19, 10, ?, 7, ?. Let's analyze the pattern.

Observe that the series alternates between subtracting and adding values. Let's examine the differences:

  • 22 - 16 = 6
  • 19 - 13 = 6
  • ?

Notice that the difference between consecutive numbers is constant (6) in the odd positions and another different constant in the even positions.

  • 16 - 13 = 3
  • 13 - 10 = 3
  • 10 - 7 = 3

Following the pattern, we can determine the missing numbers:

  • 10 - 3 = 7
  • 7 + 6 = 13

Therefore, the missing numbers are 16 and 13. The completed series is 16, 22, 13, 19, 10, 16, 7, 13. This demonstrates a pattern of alternating additions and subtractions of 6 and 3 respectively.

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