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Select the option in which the numbers share the same relationship as that shared by the given number triads. 120-100-60 240-220-180 (NOTE: Operations should be performed on the whole number, without breaking down the numbers into its constituent digits. E.g. 13- 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.)
90-80-75
150-160-140
200-180-140
220-210-200
200-180-140
Observe the constant differences between consecutive numbers: (Term 1 - Term 2 = 20) and (Term 2 - Term 3 = 40).
Observe the constant differences between consecutive numbers: (Term 1 - Term 2 = 20) and (Term 2 - Term 3 = 40).
Analyze the given sets
For the first set (120, 100, 60): 120 - 20 = 100 and 100 - 40 = 60. For the second set (240, 220, 180): 240 - 20 = 220 and 220 - 40 = 180.
Identify the logic
The relationship is T1 - 20 = T2 and T2 - 40 = T3, creating a pattern of subtracting 20 then subtracting 40.
Verify Option C
For option 200, 180, 140: 200 - 20 = 180 (matches) and 180 - 40 = 140 (matches).
A: 90-80=10 (not 20), B: 150-160= -10 (not 20), D: 220-210=10 (not 20).
C is correct because it follows the consistent mathematical pattern of subtracting 20 from the first number to get the second, and 40 from the second number to get the third.
When dealing with sets of three numbers, always check the gaps between adjacent numbers first; if the gaps are constant across sets, you have found the pattern.
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