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.
   

Q. 1 What is the row number which has the least sum of numbers placed in that row?
Q. 2 Which of the following statements MUST be true?
I. 10 is placed in a slot in Row 1.
II. 1 is placed in a slot in Row 4.
1) Only I 2) Both I and II 3) Only II 4) Neither I nor II
Q. 3 Which of the following statements MUST be true?
I. 2 is placed in a slot in Column 2.
II. 3 is placed in a slot in Column 3.
1) Both I and II 2) Neither I nor II 3) Only II 4) Only I
Q. 4 For how many slots in the grid, placement of numbers CANNOT be determined with certainty?
Q. 5 What is the sum of the numbers placed in Column 4?

Here is the final arrangement of the numbers from the last table in text format:

Using the final diagram provided, let’s first extract the grid and then solve all 5 questions based on the constraints.

---

✅ Final Grid from Image

Row \ Column	Column 1	Column 2	Column 3	Column 4
Row 1	4	6	9	10
Row 2		2/3	5	8
Row 3			2/3	7
Row 4				1

📌 Note: 2 and 3 are in Row 2 & Row 3, but which is where is uncertain. Either could be in Row 2 or Row 3.
All other numbers are fixed.

---

🔍 Let’s now solve the 5 questions.

---

Q1. What is the row number which has the least sum of numbers placed in that row?

Let’s calculate row sums:

• Row 1: 4 + 6 + 9 + 10 = 29
• Row 2: (2 or 3) + 5 + 8 = 15 or 16
• Row 3: (2 or 3) + 7 = 9 or 10
• Row 4: 1

✅ Answer: Row 4 has the least sum (1)

---

Q2. Which of the following statements MUST be true?

I. 10 is placed in a slot in Row 1 → True (Row 1, Col 4)
II. 1 is placed in a slot in Row 4 → True (Row 4, Col 4)

✅ Answer: 2) Both I and II

---

Q3. Which of the following statements MUST be true?

I. 2 is placed in a slot in Column 2
II. 3 is placed in a slot in Column 3

Let’s consider both cases for 2 and 3:

• If 2 is in Row 2, it is in Column 2 → True
   → then 3 is in Row 3, Column 3 → True
• If 2 is in Row 3, it is in Column 3 → False for I
   → then 3 is in Row 2, Column 2 → False for II

So neither statement is guaranteed to be true in all cases.

✅ Answer: 2) Neither I nor II

---

Q4. For how many slots in the grid, placement of numbers CANNOT be determined with certainty?

All values are fixed except:

• Two cells: Row 2, Col 2 and Row 3, Col 3 → either has 2 or 3.

So exactly 2 slots are uncertain.

✅ Answer: 2

---

Q5. What is the sum of the numbers placed in Column 4?

Column 4 has: 10, 8, 7, 1
→ Total = 10 + 8 + 7 + 1 = 26

✅ Answer: 26

---

✅ Final Answers Recap:

Q#	Answer
Q1	Row 4
Q2	2) Both I and II
Q3	2) Neither I nor II
Q4	2
Q5	26

Let me know if you want a visual version of the solution summary!