turkey-yks 2012 Q16

turkey-yks · Other · ygs Not Maths

For a three-digit number $ABC$ $ABC = A ^ { 3 } + B ^ { 3 } + C ^ { 3 }$ if this holds, this number is called an Armstrong number. For example, since $153 = 1 ^ { 3 } + 5 ^ { 3 } + 3 ^ { 3 }$, 153 is an Armstrong number.
If the number 3K1 is an Armstrong number, what is the digit K?
A) 5
B) 6
C) 7
D) 8
E) 9

For a three-digit number $ABC$\\
$ABC = A ^ { 3 } + B ^ { 3 } + C ^ { 3 }$\\
if this holds, this number is called an Armstrong number. For example, since $153 = 1 ^ { 3 } + 5 ^ { 3 } + 3 ^ { 3 }$, 153 is an Armstrong number.

If the number 3K1 is an Armstrong number, what is the digit K?\\
A) 5\\
B) 6\\
C) 7\\
D) 8\\
E) 9

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