84 : 23 :: 89 : 27 :: 64 : 42 :: 36 : ?
(1) 81 (2) 72
(3) 57 (4) 46

Dear Student,
Solution) Here, in the given question,
84 = 8 × 4 = 32 = 23
89 = 8 × 9 = 72 = 27
64 = 6 × 4 = 24 = 42
Its because of following reason -
the digits in the product of the digits of the numbers be interchanged.
Then,
36 = 3 × 6 = 18 = 81
Thus, 
the missing number is 81.
Therefore, the complete proportion is 
​​​​​​84 : 23 :: 89 : 27 :: 64 : 42 :: 36 : 81
So, option (1) is correct.
Regards!

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