Correct Answer - Option 3 : (4, 37, 3)
Given set,
(9, 217, 8)
93 – 83 = 729 – 512 = 217
Here, we see the middle number is the difference of cubes of 1st and 3rd number.
Therefore,
(2, 76, 5) = 53 – 23 = 125 – 8 = 117 ≠ 76
(3, 49, 2) = 33 – 23 = 27 – 8 = 19 ≠ 49
(4, 37, 3) = 43 – 33 = 64 – 27 = 37
(5, 625, 6) = 63 – 53 = 216 – 125 = 91 ≠ 625
Hence, the correct answer is (4, 37, 3).