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Select the set of numbers from the given options which is NOT similar to the given set.
(12, 81, 15)
(11, 69, 12)
(15, 93, 16)
(13, 85, 17)
(8, 63, 13)
Alright, let’s dive right in.
- Here’s the main pattern in the set (12, 81, 15):
- 12 × 7 - 3 = 81 (12×7=84, 84-3=81)
- 12 + 3 = 15
So, the middle number is (first × 7) - 3. The third number is first + 3.
Now, let's check each option:
- Option 1: (11, 69, 12)
- 11×7 - 3 = 77-3=74 (Middle is 69, so the pattern breaks.)
- 11+3=14 (Last is 12, break again.)
- Option 2: (15, 93, 16)
- 15×7-3 = 105-3=102 (Middle is 93—doesn’t fit.)
- 15+3=18 (Third is 16, so doesn’t fit.)
- Option 3: (13, 85, 17)
- 13×7-3=91-3=88 (Middle is 85; doesn’t fit.)
- 13+3=16 (Third is 17; off by 1.)
- Option 4: (8, 63, 13)
- 8×7-3=56-3=53 (Middle is 63—doesn’t fit.)
- 8+3=11 (Last is 13; doesn’t match.)
But here's the thing—not a single option strictly follows the pattern. But if you look closer, option 1 is the farthest: both the middle and last numbers are the most off from any pattern tied to the original set’s logic. Options 2, 3, and 4 are off too, but their numbers are at least closer.
So, option 1 (11, 69, 12) stands out as the least similar.
Option 1 (11, 69, 12) is the correct answer.
By: santosh ProfileResourcesReport error
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