Question 1012933: The number n is divisible by 3. The number n^2 is 3641A5. What digit does A represent? Found 2 solutions by macston, MathLover1:Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! .
No integers fulfill the requirements. . too low . too high
The number that would give 3641A5 as a square is between
603 and 604, thus is not evenly divisible by 3.
.
If it does not have to be evenly divisible,
replace A with any digit,and find the square root to find "n".
"A" will be your digit of choice.
You can put this solution on YOUR website!
Since the number n is divisible by , the number is divisible by .
By the divisibility rules, a number is divisible by if the of its digits is divisible by .
Therefore, must be divisible by .
Now, since is a 1-digit number, the only possible value for since and is divisible by . Therefore, .