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36 is related to 73 following a certain logic. Following the same logic, 54 is related to 109. To which of the given options is 28 related, following the same logic?
56
57
58
59
57
Identify the multiplier and offset: the logic is (x multiplied by 2) plus 1.
Identify the multiplier and offset: the logic is (x multiplied by 2) plus 1.
Analyze the first relationship
Given 36 is related to 73. Calculating the relation: 36 * 2 = 72; 72 + 1 = 73. The pattern is (Number * 2) + 1.
Verify the logic with the second set
Given 54 is related to 109. Calculating: 54 * 2 = 108; 108 + 1 = 109. The pattern (Number * 2) + 1 holds true.
Apply logic to the target number
Apply the pattern to 28: 28 * 2 = 56; 56 + 1 = 57.
A: 56 is the result of just doubling 28 without adding 1. C: 58 is reached if you add 2, which does not fit the established pattern. D: 59 is reached if you add 3, which is mathematically incorrect based on the established rule.
B is correct because applying the consistent logic of (x * 2) + 1 to 28 results in 57.
In number analogies, always test simple arithmetic operations (addition, multiplication) first; if those fail, look for squares or cubes with adjustments.