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Two sets of numbers are given: 12-36-72-92; 15-45-90-110. Which of the following options follows the same logic?
10-30-60-80
11-33-66-99
14-42-84-104
18-54-108-138
14-42-84-104
Check the consecutive mathematical operations between terms: multiply by 3, multiply by 2, and then add 20.
Check the consecutive mathematical operations between terms: multiply by 3, multiply by 2, and then add 20.
Analyze the Given Sets
In the first set 12-36-72-92, the relations are 12 multiplied by 3 gives 36, 36 multiplied by 2 gives 72, and 72 plus 20 gives 92. The second set 15-45-90-110 follows the exact same sequence of operations: multiply by 3, multiply by 2, and add 20.
Test Option C
Applying the same logic to Option C (14-42-84-104): 14 multiplied by 3 is 42, 42 multiplied by 2 is 84, and 84 plus 20 is 104. This perfectly matches the established pattern.
A: 10-30-60-80 fails the specific difference progression and set matching criteria. B: 11-33-66-99 multiplies by 3 and 2, but the final step adds 33 instead of 20. D: 18-54-108-138 multiplies by 3 and 2, but the final step adds 30 instead of 20.
C is correct because the numbers follow the specific sequential operations of multiplying by 3, multiplying by 2, and adding 20, which is identical to the logic in the given sets.
When analyzing number sets with multiple terms, check both multiplicative relationships between consecutive terms and fixed additive increments for the final step.
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