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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 тАУ 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.) (4,12,48)(7,21,84)
(5, 45, 180)
(15, 45, 180)
(15, 45, 170)
(15, 25, 180)
(15, 45, 180)
Identify the pattern as (X, Y, Z) where Y = X * 3 and Z = Y * 4 (or Z = X * 12).
Identify the pattern as (X, Y, Z) where Y = X * 3 and Z = Y * 4 (or Z = X * 12).
Analyze the pattern
Given sets are (4, 12, 48) and (7, 21, 84). The logic is: 1st number * 3 = 2nd number, and 2nd number * 4 = 3rd number. (4 * 3 = 12, 12 * 4 = 48) and (7 * 3 = 21, 21 * 4 = 84).
Apply to options
Test (15, 45, 180): 15 * 3 = 45 and 45 * 4 = 180. This matches the established pattern perfectly.
A: (5, 45, 180) fails because 5 * 9 = 45 and 45 * 4 = 180 (incorrect 1st step); C: (15, 45, 170) fails because 45 * 4 = 180, not 170; D: (15, 25, 180) fails because 15 * 3 is not 25.
B is correct because the sequence follows the rule (first * 3 = second) and (second * 4 = third), which results in 15 * 3 = 45 and 45 * 4 = 180.
When encountering triplet sets, always check for multiplication factors or relations between the 1st, 2nd, and 3rd terms separately before checking for additive patterns.
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