Above shows a long division. What is the sum of values of all the missing digits?
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
Nice.. Politely saying, I genuinely doubt its uniqueness. There can be many such solutions... Say for example, that last third row can take any value in 50-59 and the corresponding remainder will vary from 16-25..
Log in to reply
Yes,this troubles me as well. Sir,can you provide a solution to this ?
Log in to reply
I am terrified.. Don't call me sir I am not that old (only two years elder than you :D), BTW I am also facing same problem with all these recent phantom problems ... These require a lot of hardwork before designing them and having a insight at all the cases. Maybe @Pi Han Goh can help. He has gained expertise in these problems:)
Log in to reply
@Rishabh Jain – @Pi Han Goh !!!
Log in to reply
@Rohit Udaiwal – Wow! Nice question! Well, if it's any number larger than 50, then the remainder is larger than 16, but the divisor must be 17 only. Because the remainder must always be less than the divisor, then it (the number in the 3rd last row) can't be larger than 50, so it must indeed be 50.
Log in to reply
@Pi Han Goh – Thanks for the wonderful explanation :)
Can you provide a solution to this .
Log in to reply
@Rohit Udaiwal – Hint: What are possible values that can represent the box directly below 9?
@Rohit Udaiwal – You should try to explain that in your solution. And explain why the divisor must be 17 only, and it cannot be 27, 37, 47, ... 97.
@Rohit Udaiwal – @rohit udaiwal I have posted the solution you can see it.
Can you explain me how you take last digit of divisor zero
Problem Loading...
Note Loading...
Set Loading...
0 4 2 1 7 \enclose l o n g d i v 7 3 0 6 8 0 0 5 0 3 4 1 6
Therefore sum of missing digits = 4 + 2 + 1 + 7 + 3 + 0 + 8 + 0 + 3 + 1 + 6 = 3 5 .