(2, 7, 11)
(13,17,29)
(NOTE: Operations should be performed on the whole numbers, 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.)
The given set (2, 7, 11) shows a pattern. Let's analyze it:
- 7 - 2 = 5
- 11 - 7 = 4
The differences between consecutive numbers are decreasing by 1. Let's check this pattern against the options:
- Option 1 (3, 9, 11): 9 - 3 = 6; 11 - 9 = 2. This doesn't follow the decreasing difference pattern.
- Option 2 (13, 17, 23): 17 - 13 = 4; 23 - 17 = 6. This doesn't follow a strictly decreasing difference, but a pattern of increasing differences.
- Option 3 (37, 41, 49): 41 - 37 = 4; 49 - 41 = 8. This doesn't follow the pattern.
- Option 4 (27, 31, 33): 31 - 27 = 4; 33 - 31 = 2. This doesn't follow the decreasing difference pattern.
While none of the options perfectly replicates the *decreasing* difference pattern of the original set, option 2 (13, 17, 23) exhibits an *increasing* difference pattern, which is a close analog. The key is to recognize the presence of a pattern, even if the options don't precisely match the original set's specific pattern. The question does not explicitly state the pattern must be strictly decreasing. Option 2 shows a consistent relationship, making it the closest match. Option 2 shows a different type of pattern (increasing difference) and can be considered a suitable analog given the constraints of the question. The essence is identifying a mathematical relationship between numbers in a set and finding a similar relationship in the options.
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