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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.) (12, 3, 9) (28, 7, 21)
(48, 12, 26)
(44, 12, 36)
(48, 12, 36)
(48, 14, 36)
(48, 12, 36)
The pattern is: the third number is 75% of the first number (1st ├Ч 0.75 = 3rd), and the second number is 25% of the first (1st ├Ч 0.25 = 2nd). Alternatively: (1st / 4 = 2nd) and (1st ├Ч 3 / 4 = 3rd).
The pattern is: the third number is 75% of the first number (1st ├Ч 0.75 = 3rd), and the second number is 25% of the first (1st ├Ч 0.25 = 2nd). Alternatively: (1st / 4 = 2nd) and (1st ├Ч 3 / 4 = 3rd).
Analyze the given sets
In (12, 3, 9): 12 / 4 = 3 (2nd number) and 3 * 3 = 9 (3rd number). Alternatively, 12 * 0.75 = 9.
Apply to second set
In (28, 7, 21): 28 / 4 = 7 (2nd number) and 7 * 3 = 21 (3rd number).
Evaluate options
Checking (48, 12, 36): 48 / 4 = 12 and 12 * 3 = 36. This perfectly matches the pattern (x, x/4, 3x/4).
A: (48, 12, 26) fails as 48/4=12 but 12*3=36 (not 26). B: (44, 12, 36) fails as 44/4=11 (not 12). D: (48, 14, 36) fails as 48/4=12 (not 14).
C is correct because the numbers follow the rule (x, x/4, 3x/4), where 48/4 = 12 and 48*0.75 = 36.
When faced with triplet sets, always check for relationships like (A, B, C) where B = A/n or C = k*B before looking for complex square/cube operations.
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