Select the number from among the given options that can replace the question mark (?) in the following series.
38, 40, 42, 42, 46, 44, ?
Correct Answer :
50
Solution :
The correct option is 50.
To find the number that replaces the question mark (?) in the series, we analyze the pattern by splitting the sequence into two alternating sub-series (odd-positioned terms and even-positioned terms):
Given Series: 38, 40, 42, 42, 46, 44, ?
1. First Sub-series (Odd-positioned terms: 1st, 3rd, 5th, 7th):
The terms are 38, 42, 46, ?
In this sub-series, each term increases by 4:
2. Second Sub-series (Even-positioned terms: 2nd, 4th, 6th):
The terms are 40, 42, 44
In this sub-series, each term increases by 2:
The question mark (?) represents the 7th term in the overall series, which belongs to the first sub-series (odd positions).
Therefore, the number that replaces the question mark is 50.
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