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Which of the following terms will replace the question mark (?) in the given series to make it logically complete? IO19 KQ30 MS41 OU52?
QX64
QW63
QX63
QW64
QW63
Analyze the three segments (letters and number) separately: the first letter jumps by +2, the second letter by +2, and the number increments by +11.
Analyze the three segments (letters and number) separately: the first letter jumps by +2, the second letter by +2, and the number increments by +11.
Analyze First Letter Pattern
The first letter of each term is: I (9), K (11), M (13), O (15). The sequence follows +2 increment (9+2=11, 11+2=13, 13+2=15). Therefore, 15+2=17, which corresponds to Q.
Analyze Second Letter Pattern
The second letter of each term is: O (15), Q (17), S (19), U (21). The sequence follows +2 increment (15+2=17, 17+2=19, 19+2=21). Therefore, 21+2=23, which corresponds to W.
Analyze Number Pattern
The number sequence is: 19, 30, 41, 52. The common difference is +11 (19+11=30, 30+11=41, 41+11=52). Therefore, 52+11=63.
A: QX64 is wrong because the second letter should be W and the number should be 63. C: QX63 is wrong because the second letter increment is +2 from U which results in W, not X. D: QW64 is wrong because the number increment is +11 from 52, resulting in 63, not 64.
B is correct because the series follows a consistent +2, +2, +11 pattern, leading to the letters Q (17) and W (23) followed by the number 63.
For alphanumeric series, always split the problem into three mini-series; focusing on one component at a time prevents calculation errors and saves time.
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