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Select the option in which the numbers share the same relationship as that shared by the given number triads. 9-5-1 14-10-6 (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.)
20-16-12
21-16-14
25-21-19
30-28-26
20-16-12
Observe that the difference between the first and second number is -4, and the difference between the second and third number is also -4.
Observe that the difference between the first and second number is -4, and the difference between the second and third number is also -4.
Analyze the given triads
Triad 1: 9, 5, 1. Calculation: 9 - 4 = 5 and 5 - 4 = 1. Triad 2: 14, 10, 6. Calculation: 14 - 4 = 10 and 10 - 4 = 6. The logic is constant subtraction of 4.
Evaluate the correct option
Applying the rule (subtract 4) to Option A: 20 - 4 = 16 and 16 - 4 = 12. This matches the established pattern perfectly.
B: 21-16 (diff 5) and 16-14 (diff 2) do not follow the -4, -4 pattern. C: 25-21 (diff 4) and 21-19 (diff 2) do not follow the pattern. D: 30-28 (diff 2) and 28-26 (diff 2) do not follow the pattern.
A is correct because the numbers in the triad follow the arithmetic progression rule of subtracting 4 from the preceding number (n, n-4, n-8).
In number triads, always check the difference between the first-second and second-third numbers first; if those are constant, you have found the pattern.
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