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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.) (120, 96, 54) (108, 84, 42)
(128, 96, 60)
(92, 68, 40)
(116, 92, 62)
(124, 100, 58)
(124, 100, 58)
Observe the constant differences between the numbers: (T1 - T2) = 24 and (T2 - T3) = 42 for both given sets.
Observe the constant differences between the numbers: (T1 - T2) = 24 and (T2 - T3) = 42 for both given sets.
Analyze the first set (120, 96, 54)
Difference between 1st and 2nd number: 120 - 96 = 24. Difference between 2nd and 3rd number: 96 - 54 = 42.
Verify the logic with the second set (108, 84, 42)
Difference between 1st and 2nd number: 108 - 84 = 24. Difference between 2nd and 3rd number: 84 - 42 = 42. The constant logic is (-24, -42).
Apply the logic to Option D (124, 100, 58)
124 - 100 = 24 and 100 - 58 = 42. This matches the established pattern perfectly.
A: 128 - 96 = 32 (Incorrect difference), B: 92 - 68 = 24, but 68 - 40 = 28 (Incorrect difference), C: 116 - 92 = 24, but 92 - 62 = 30 (Incorrect difference).
D is correct because it follows the established pattern of subtracting 24 from the first number to get the second, and 42 from the second number to get the third.
When dealing with number sets, always calculate the gaps between adjacent numbers first; if the gaps are consistent across sets, the logic is likely additive or subtractive.
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