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Select the set in which the numbers are related in the same way as are the numbers of the following sets. (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.) (18, 6, 24) (27, 9, 36)
(33, 11, 44)
(33, 10, 44)
(33, 11, 42)
(31, 11, 44)
(33, 11, 44)
In the sets (18, 6, 24) and (27, 9, 36), the relationship is: (First Number ÷ Second Number) = 3 and (First Number + Second Number) = Third Number.
In the sets (18, 6, 24) and (27, 9, 36), the relationship is: (First Number ÷ Second Number) = 3 and (First Number + Second Number) = Third Number.
Analyze given sets
Set 1: (18, 6, 24) → 18 ÷ 6 = 3 and 18 + 6 = 24. Set 2: (27, 9, 36) → 27 ÷ 9 = 3 and 27 + 9 = 36.
Establish the pattern
For any set (A, B, C), the logic is A ÷ B = 3 and A + B = C.
Test Option A (33, 11, 44)
33 ÷ 11 = 3 and 33 + 11 = 44. This perfectly follows the identified pattern.
B: 33/10!= 3. C: 33/11 = 3, but 33 + 11!= 42. D: 31/11!= 3.
A is correct because the numbers follow the consistent pattern A ÷ B = 3 and A + B = C, which is satisfied only by the set (33, 11, 44).
When encountering triplet sets in reasoning, always check basic arithmetic operations (sum, difference, division) first as they usually form the primary backbone of the pattern.