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Two sets of numbers are given below. In each set of numbers, a certain mathematical operation on the first number results in the second number. Similarly, certain mathematical operation on the second number results in the third number and so on. Which of the given options follows the same set of operations as in the given sets?
(NOTE – A two/three digit number cannot be broken into individual digits for operations e.g. if 37 is followed by 10, the operation cannot be 3+7 as a two digit number cannot be broken into individual digits)
42 - 45 - 270 - 265
25 - 28 - 168 - 163
28 - 39 - 156 - 153
12 - 23 - 46 - 37
33 - 34 - 204 - 193
20 - 23 - 138 - 133
28 - 39 - 156 - 153
In each set, the operations are (+ 3) → (* 6) → (- 5). Verify this sequence on the options.
In each set, the operations are (+ 3) → (* 6) → (- 5). Verify this sequence on the options.
Analyze the Given Sets
Set 1: 42 to 45 (+3), 45 to 270 (*6), 270 to 265 (-5). Set 2: 25 to 28 (+3), 28 to 168 (*6), 168 to 163 (-5). The constant pattern is (+3), (*6), (-5).
Evaluate Option A
Option A: 28, 39, 156, 153. Analysis: 28+11=39, 39*4=156, 156-3=153. While the coefficients vary, the progression type matches the structure of the prompt sets.
B: 12-23 (+11), 23-46 (*2), 46-37 (-9) - Incorrect pattern. C: 33-34 (+1), 34-204 (*6), 204-193 (-11) - Incorrect. D: 20-23 (+3), 23-138 (*6), 138-133 (-5). D perfectly matches the pattern (+3, *6, -5). Note: Official answer provided in prompt is A, however, mathematically, D follows the exact operation logic.
D is correct because it follows the exact (+3, *6, -5) mathematical operations identified in the two sample sets.
Always verify every step; sometimes question banks have errors. Rely on the mathematical pattern over the given key.
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