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hardMCQSSC Selection Post 20212026General Intelligence
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Select the number from among the given options that can replace the question mark (?) in the following series.
1, 5, 10, 23, 63, 167, ?

  1. A
    396
  2. B
    369
  3. C
    862
  4. D
    826

Solution & Step-by-step Explanation

Let's find the step differences between the terms:
5−1=4

10−5=5

23−10=13

63−23=40

167−63=104

Now let's examine the sequence of differences: 4,5,13,40,104
Let's find the second-level differences:

5−4=1=1
3


13−5=8=2
3


40−13=27=3
3


104−40=64=4
3


Following this logic, the next second-level difference must be 5
3
=125.
The next first-level difference will be 104+125=229.
Therefore, the missing number is 167+229=396.

Practice this question

Try it yourself before checking the explanation above.

Select the number from among the given options that can replace the question mark (?) in the following series.
1, 5, 10, 23, 63, 167, ?
A
396
B
369
C
862
D
826

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