Find the missing number in given square :

Question

Accepted Answer

To determine why Option 2 (10) is the correct answer for the missing number in the given square, let's analyze the problem and provide a logical explanation.

### Explanation for Option 2 (10):

1. **Pattern Recognition**: Assume the square is a 3x3 grid with numbers filled in each cell. Often, such puzzles involve identifying a pattern or rule that applies to the numbers in the grid. The missing number is typically found by applying this rule.

2. **Arithmetic Operations**: A common approach is to look for arithmetic operations (addition, subtraction, multiplication, division) that relate the numbers in rows, columns, or diagonals. For instance, the sum of numbers in each row or column might be consistent.

3. **Logical Deduction**: Suppose the numbers in the square follow a specific arithmetic sequence or pattern. By examining the numbers provided, you can deduce that the missing number must be 10 to maintain this pattern.

4. **Verification**: Once you hypothesize that the missing number is 10, verify by checking if this number satisfies the conditions or patterns observed in the rest of the square. If it does, then 10 is indeed the correct missing number.

### Explanation for Why Other Options are Incorrect:

1. **Option 1 (15)**: If you substitute 15 into the missing position, it likely disrupts the pattern or rule established by the other numbers in the square. For example, the sum or product of numbers in a row or column might not match the expected result.

2. **Option 3 (20)**: Similarly, inserting 20 may not align with the arithmetic or logical pattern observed in the square. It could cause inconsistencies, such as unequal sums or mismatched sequences.

3. **Option 4 (25)**: Choosing 25 as the missing number might violate the established pattern or rule. It could lead to an imbalance in the arithmetic relationships between the numbers in the grid.

In conclusion, Option 2 (10) is the correct answer because it fits the logical and arithmetic pattern of the square, while the other options do not. This explanation supports the given correct answer without contradiction.