Stringent Numbers 1
Logic
Level
2
The above shows a long division between 2 integers, with the last box at the bottom representing the remainder of the quotient. Each box represents a single digit non-negative integer.
What is the sum of all the missing numbers?
The answer is 38.
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1 solution
in the dividend, if the digit is 0,then multiplying with 4 wont give 5 as left digit, and if the digit is >1, multiplying by four gives us a bigger number. we conclude by ranging that the digit is 1. also 1 3 × 4 = 5 2 , by that we find another digit.
now, by divisibility check, the number above the remainder is
6
5
, as it is the only 2 digit number divisible by 13 stating with 6. also we add 5 in the quotient, we find the number above 65:
x
−
6
5
=
7
⟹
x
=
7
2
. so the digit of the dividend also becomes 2. and
x
−
5
2
=
7
⟹
x
=
5
9
. we are done.
