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12 is related to 30 following a certain logic. Following the same logic, 18 is related to 42. To which of the following is 24 related?
54
50
48
60
54
Observe that both relationships follow the formula: 2.5 times the input number (x * 2.5) or x + (1.5 * x).
Observe that both relationships follow the formula: 2.5 times the input number (x * 2.5) or x + (1.5 * x).
Analyze the first pair
For 12 and 30, the relation is 12 multiplied by 2.5, which equals 30. Alternatively, 12 + (12 * 1.5) = 12 + 18 = 30.
Analyze the second pair
For 18 and 42, we check the same logic: 18 multiplied by 2.5 = 45. Since 45 does not equal 42, we must look for a linear addition pattern: 30 - 12 = 18; 42 - 18 = 24. The difference between the numbers is increasing by 6 (18, 24, so next is 30).
Apply logic to 24
Following the pattern of increasing differences: 30-12=18, 42-18=24. The difference increases by 6 each time. Therefore, the next number related to 24 must be 24 + 30 = 54.
B: 50 is incorrect because it does not follow the +6 increment pattern in the difference (50-24=26, which is not 30). C: 48 is incorrect because 48-24=24, which breaks the +6 difference progression. D: 60 is incorrect because 60-24=36, which is not 30.
A is correct because the difference between the numbers in the pairs increases by 6 (30-12=18, 42-18=24, so the next difference must be 24+6=30, and 24+30=54).
When simple multiplication does not yield a consistent ratio for all pairs, always calculate the difference between the numbers and check for a secondary arithmetic progression.