All of the following relationships are correct, except one. Determine the wrong answer and explain why the others are correct.
A) 5612 ~ 1475
B) 4657 ~ 1210
C) 4326 ~ 1080
D) 2474 ~ 755
E) 1781 ~ 737
The thousands, hundreds, tens and ones column are expressed in non decimal bases, where:
Thousands column => base 6
Hundreds column => base 8
Tens column => base 9
Ones column => base n, where 1<=n<=7
Then, we observe that:
(A) 5612 ---> 5*6^3 + 6*8^2 + 1*9 + 2 = 1475 in base ten
(B) 4657 ---> 4*6^3 + 6*8^2 + 5*9 + 7 = 1300 in base ten
(C) 4326 ---> 4*6^3 + 3*8^2 + 2*9 + 6 = 1080 in base ten
(D) 2474 ---> 2*6^3 + 4*8^2 + 7*9 + 4 = 755 in base ten
(E) 1781 ---> 1*6^3 + 7*8^2 + 8*9 + 1 = 737 in base ten
Since, (B) does not provide the value of 1300 in base ten, it follows that B has the wrong answer.
Edited on August 21, 2023, 8:22 am
Puzzle Solution
