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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.) (4, 12, 24) (7, 21, 42)
(9, 36, 54)
(9, 27, 54)
(9, 27, 52)
(7, 27, 54)
(9, 27, 54)
The set follows the logic: (First number × 3 = Second number) AND (First number × 6 = Third number).
The set follows the logic: (First number × 3 = Second number) AND (First number × 6 = Third number).
Analyze the given sets
The given sets are (4, 12, 24) and (7, 21, 42). For (4, 12, 24): 4 × 3 = 12 and 4 × 6 = 24. For (7, 21, 42): 7 × 3 = 21 and 7 × 6 = 42.
Identify the pattern
The pattern for any set (a, b, c) is b = a × 3 and c = a × 6.
Apply pattern to option (9, 27, 54)
For (9, 27, 54): 9 × 3 = 27 and 9 × 6 = 54. This matches the established pattern perfectly.
A: 9 × 3 = 27 but 9 × 6 = 54, not 36; C: 9 × 3 = 27 but 9 × 6 = 54, not 52; D: 7 × 3 = 21 but 7 × 6 = 42, not 27.
B is correct because the numbers follow the specific mathematical rule: Second number = First number × 3 and Third number = First number × 6.
In number-based analogy questions, always check for simple multiplication or ratio patterns first, as these are the most common in SSC/Railway exams.
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