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Select the set in which the numbers are related in the same way as are the numbers of the following sets. (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.) (45, 96, 141) (12, 16, 28)
(13, 15, 30)
(16, 20, 36)
(14, 17, 32)
(10, 7, 18)
(16, 20, 36)
In the given sets (a, b, c), the pattern is that the third number is equal to the sum of the first two numbers multiplied by a factor or simply their addition: (a + b) = c. Specifically, 45 + 96 = 141 and 12 + 16 = 28.
In the given sets (a, b, c), the pattern is that the third number is equal to the sum of the first two numbers multiplied by a factor or simply their addition: (a + b) = c. Specifically, 45 + 96 = 141 and 12 + 16 = 28.
Analyze the pattern
Given sets are (45, 96, 141) and (12, 16, 28). Observe: 45 + 96 = 141; 12 + 16 = 28. The pattern is 'First number + Second number = Third number'.
Check the options
Evaluate each option: (A) 13+15=28 (Not 30), (B) 16+20=36 (Correct), (C) 14+17=31 (Not 32), (D) 10+7=17 (Not 18).
A: 13 + 15 = 28, not 30. C: 14 + 17 = 31, not 32. D: 10 + 7 = 17, not 18.
B is correct because the logic applied in the given sets is the addition of the first two numbers to result in the third number (16 + 20 = 36).
In number-based set questions, always check for basic arithmetic relations (addition, subtraction, multiplication) before looking for complex square or cube operations.