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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.) (2,8,32)(5,20,80)
(9,36,124)
(9,36,144)
(9,36,142)
(9,39,144)
(9,36,144)
In each set (A, B, C), the third number is exactly 4 times the second number (B = 4 * A; C = 4 * B).
In each set (A, B, C), the third number is exactly 4 times the second number (B = 4 * A; C = 4 * B).
Analyze the given sets
Set 1: (2, 8, 32). Logic: 2 * 4 = 8, 8 * 4 = 32. Set 2: (5, 20, 80). Logic: 5 * 4 = 20, 20 * 4 = 80. Both follow the rule (x, 4x, 16x).
Evaluate Options
We need a set following (x, 4x, 16x) where x = 9. First number is 9. Second = 9 * 4 = 36. Third = 36 * 4 = 144. The matching set is (9, 36, 144).
A: 94=36 but 364 is not 124. C: 36*4 is not 142. D: The sequence starts with 9, 39 which violates the 4x multiplication rule.
B is correct because the numbers in the given sets follow the pattern of multiplying by 4, and (9, 36, 144) satisfies the rule 94=36 and 364=144.
In number analogy questions, always check for multiplication patterns first, as they are the most common relationship type in SSC exams.
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