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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.) (12, 38, 26) (50, 75, 25)
(8, 32, 7)
(21, 40, 15)
(9, 28, 16)
(14, 42, 28)
(14, 42, 28)
The pattern is (First number + Last number) / 2 = Middle number, or simply observe that the middle number is the average of the first and last numbers.
The pattern is (First number + Last number) / 2 = Middle number, or simply observe that the middle number is the average of the first and last numbers.
Analyze given sets
Set 1: (12, 38, 26). Here (12 + 26) = 38. Set 2: (50, 75, 25). Here (50 + 25) = 75. The pattern is: (First number + Third number) = Second number.
Verify the pattern on Option D
Check Option D (14, 42, 28): (14 + 28) = 42. This matches the established pattern perfectly.
A: (8 + 7) = 15, not 32. B: (21 + 15) = 36, not 40. C: (9 + 16) = 25, not 28.
D is correct because it follows the rule where the sum of the first and third numbers equals the middle number (14 + 28 = 42).
Always check for simple addition or subtraction relationships between the extremes and the middle number first, as these are the most common patterns in set-based questions.
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