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Four triads of numbers have been given out of which three are alike in some manner and one is different. Select the one that is different.
Question

Four triads of numbers have been given out of which three are alike in some manner and one is different. Select the one that is different.

A.

9-29-259

B.

6-27-128

C.

5-18-67

D.

7-38-219

Correct option is A

Logic: Middle = (First − 2) × First + 3
Third = (First − 1)³ + 3
Let's check options:
A: 9-29-259
Middle → (9−2)×9+3 = 7×9+3 = 66 ≠ 29 ✘
B: 6-27-128
Middle → (6−2)×6+3 = 4×6+3 = 27 
Third → (6−1)³+3 = 5³+3 = 125+3 = 128 
C: 5-18-67
Middle → (5−2)×5+3 = 3×5+3 = 18 
Third → (5−1)³+3 = 4³+3 = 64+3 = 67 
D: 7-38-219
Middle → (7−2)×7+3 = 5×7+3 = 38 
Third → (7−1)³+3 = 6³+3 = 216+3 = 219 
Thus B, C, D follow the rule but A does not.
Final Answer:
9 – 29 – 259
Final Correct Option:
(A)

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