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42 is related to 14 following a certain logic. Following the same logic, 33 is related to 11. To which of the following is 75 related following the same logic? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 тАУ Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
15
25
35
45
25
Observe the division ratio: the input number is always three times the output number (Input / 3 = Output).
Observe the division ratio: the input number is always three times the output number (Input / 3 = Output).
Analyze the pattern
Given 42 is related to 14, calculate the ratio: 42 / 14 = 3. Thus, the logic is dividing the input number by 3 to obtain the related number.
Verify the pattern
Applying the same logic to the second pair: 33 / 11 = 3. The relationship is consistent.
Apply to the target number
Divide the target number 75 by 3: 75 / 3 = 25.
A: 15 is incorrect because 75/15 = 5, not 3. C: 35 is incorrect because 75/35 is not a whole number. D: 45 is incorrect because 75/45 is not 3.
B is correct because the relationship between the numbers is defined by the rule (Input / 3 = Output), and 75 / 3 equals 25.
When faced with analogies involving whole numbers, always check for basic arithmetic divisibility (addition, subtraction, multiplication, or division) by a constant factor first.
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