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Select the option in which the numbers share the same relationship as that shared by the given number triads. 39-36-33 67-64-61 (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.)
100-94-90
64-54-50
120-116-105
98-95-92
98-95-92
Observe the constant difference between the numbers in the triads. The given examples show a fixed subtraction of 3 between consecutive terms (n1 - 3 = n2, n2 - 3 = n3).
Observe the constant difference between the numbers in the triads. The given examples show a fixed subtraction of 3 between consecutive terms (n1 - 3 = n2, n2 - 3 = n3).
Analyze the given triads
Triad 1: 39 - 36 = 3 and 36 - 33 = 3. Triad 2: 67 - 64 = 3 and 64 - 61 = 3. The rule is consistent: each subsequent number is obtained by subtracting 3 from the previous number.
Evaluate the options
Option A: 100-94=6 (Fails). Option B: 64-54=10 (Fails). Option C: 120-116=4 (Fails). Option D: 98-95=3 and 95-92=3 (Matches).
A: Difference is 6 and 4, not 3. B: Difference is 10 and 4, not 3. C: Difference is 4 and 11, not 3.
D is correct because 98, 95, and 92 follow the established pattern of subtracting 3 consecutively from the preceding term.
Always check for simple arithmetic constants like addition or subtraction before looking for complex squares, cubes, or digital operations.