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Which of the following numbers is different from the others?
129
119
134
110
129
Calculate the differences between consecutive terms: 7, 14, 21, 28. The series follows the table of 7 (n * 7).
Calculate the differences between consecutive terms: 7, 14, 21, 28. The series follows the table of 7 (n * 7).
Analyze Differences
Calculate the difference between consecutive numbers: 31-24 = 7; 45-31 = 14; 66-45 = 21; 94-66 = 28.
Identify Pattern
The differences (7, 14, 21, 28) form an arithmetic progression where each term increases by 7, which is a multiple of 7.
Calculate Missing Term
The next difference should be 28 + 7 = 35. Therefore, the missing term is 94 + 35 = 129.
B: 119 is wrong as it assumes a difference of 25; C: 134 is wrong as it assumes a difference of 40; D: 110 is wrong as it assumes a difference of 16.
A is correct because the series increases by consecutive multiples of 7 (7, 14, 21, 28), and adding 35 to the last term (94) results in 129.
In any series, if the numbers grow slowly, always check the difference between terms first. If the differences themselves form a simple pattern, you have cracked the logic.
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