Name: Introduction to Number Obtained by Reversing the Digits
Uploaded: 2019-07-19
Duration: 16 min 46 s
Description: In this video, concept of Number Obtained by Reversing the Digits is discussed. The content in this video is helpful to solve the related problems on this topic.

Question

SUDOKU $(3 \times 3)$
Fill the grid so that every horizontal row, every vertical column and every $3 \times 3$ box contains the digits $1$ to $9$ , without repeating the numbers in the same row, column or box. (You cannot change the numbers already written in the grid).

	$4$	$7$	$5$	$1$	$8$		$2$	$6$
	$8$			$4$
$1$	$2$	$6$			$3$
		$8$	$9$	$2$
	$3$						$6$
				$7$	$6$	$4$
			$4$			$8$	$5$	$8$
				$6$			$1$
$7$	$5$		$2$	$8$	$9$	$6$	$8$

Accepted Answer

Sudoku contains $9$ boxes and name it as $B_{1}, B_{2}, B_{3}, B_{4}, B_{5}, B_{6}, B_{7}, B_{8}, B_{9}$ . Each box contains digits from $1$ to $9$ without repeating. Similarly, it contains $9$ rows and $9$ columns with digits from $1$ to $9$ without repeating.

Let us find the missing digits starting from the last box, $B_{9}$

The missing digits in this box are $1, 2, 7$ . Since the last row contains $2, 7$ . So the missing digit in the last row of $B_{9}$ is $1$ .

In the seventh column, since $2$ is already present, the missing digit will be $7$ . So, the missing digit of the last column in $2$ is $2$

The missing digit of the last row is represented by the last row and last column of $B_{7}$ which is $4$

Considering the fifth column, we can see that the missing digits are $3, 9, 5$ . $9$ is already present in $B_{5}$ and $B_{8}$ . So, $9$ will occupy the second column of $B_{2}$ .

$5$ will not occupy the seventh column as it is already present in this column. So, the missing digit in the first row of $B_{8}$ is $3$

The missing digit in the second column of $B_{5}$ is $5$ . Similarly fill all the other rows and columns.

$6$ $4$ $7$ $5$ $1$ $8$ $9$ $2$ $6$

$5$ $7$ $5$ $3$ $4$ $2$ $1$ $7$ $3$

$2$ $2$ $6$ $7$ $9$ $3$ $5$ $8$ $4$

$6$ $7$ $8$ $9$ $2$ $4$ $3$ $1$ $5$

$9$ $3$ $2$ $8$ $5$ $1$ $4$ $6$ $7$

$4$ $1$ $5$ $3$ $7$ $6$ $2$ $9$ $8$

$2$ $6$ $1$ $4$ $3$ $7$ 8 5 9

$8$ $9$ $3$ $1$ $6$ $5$ $7$ $4$ $2$

$7$ $5$ $4$ $2$ $8$ $9$ $6$ $3$ $1$

Important Questions on Playing with Numbers

Learn and Prepare for any exam you want !

	$4$	$7$	$5$	$1$	$8$		$2$	$6$
	$8$			$4$
$1$	$2$	$6$			$3$
		$8$	$9$	$2$
	$3$						$6$
				$7$	$6$	$2$
			$4$			$8$	$5$	$9$
				$6$			$4$
$7$	$5$		$2$	$8$	$9$	$6$	$3$

	$4$	$7$	$5$	$1$	$8$		$2$	$6$
	$8$			$4$
$1$	$2$	$6$			$3$
		$8$	$9$	$2$
	$3$						$6$
				$7$	$6$	$2$
			$4$			$8$	$5$	$9$
				$6$			$4$
$7$	$5$		$2$	$8$	$9$	$6$	$3$

	$4$	$7$	$5$	$1$	$8$		$2$	$6$
	$8$			$4$
$1$	$2$	$6$			$3$
		$8$	$9$	$2$
	$3$						$6$
				$7$	$6$	$2$
			$4$			$8$	$5$	$9$
				$6$			$4$
$7$	$5$		$2$	$8$	$9$	$6$	$3$