CAT 2024 Set-2 | Data Interpretation and Logical Reasoning | Question: 8

Question

The numbers $1,2,3,4,5,6,7,8,9$, and $10$ are placed in ten slots of the following grid based on the conditions below.

1. Numbers in any row appear in an increasing order from left to right.
2. Numbers in any column appear in a decreasing order from top to bottom.
3. $1$ is placed either in the same row or in the same column as $10$.
4. Neither $2$ nor $3$ is placed in the same row or in the same column as $10$.
5. Neither $7$ nor $8$ is placed in the same row or in the same column as $9$.
6. $4$ and $6$ are placed in the same row.

For how many slots in the grid, placement of numbers CANNOT be determined with certainty?