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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/deleting/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) (19, 6, 17) (79, 11, 42)
(2, 6, 5)
(15, 5, 6)
(13, 49, 2)
(14, 4, 2)
(14, 4, 2)
Observe that the middle number multiplied by a constant factor minus the third number equals the first, or verify the arithmetic relationship: (Middle Number * X) - Y = First Number.
Observe that the middle number multiplied by a constant factor minus the third number equals the first, or verify the arithmetic relationship: (Middle Number * X) - Y = First Number.
Analyze the first set (19, 6, 17)
Observe the relationship: (6 * 6) - 19 = 17. The middle number squared minus the first number equals the third number.
Verify the logic with the second set (79, 11, 42)
Apply the same logic: (11 * 11) - 79 = 121 - 79 = 42. The logic holds perfectly: (Second┬▓) - First = Third.
Test Option D (14, 4, 2)
Applying the pattern: (4 * 4) - 14 = 16 - 14 = 2. This matches the third number of the set (2).
A: (66)-2 = 34 not 5; B: (55)-15 = 10 not 6; C: (49*49)-13 is far too large, not 2.
D is correct because the logic applied is (Middle Number * Middle Number) - First Number = Third Number, which correctly identifies 14, 4, 2 as (4*4) - 14 = 2.
In number set analogies, always check if squaring or cubing the middle term leads to the outer numbers, as this is a frequent pattern in SSC exams.
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