If 246 = 8,624 = 0 and 327 = 6 then 423 = ?

Options

A. 10
B. 9
C. 8
D. 1

Explanation

To solve the problem, we need to identify the pattern used in the given equations. Let's break it down step by step:

### Step 1: Analyze the given equations
We have three equations:
1. \( 246 = 8 \)
2. \( 624 = 0 \)
3. \( 327 = 6 \)

We need to find the value of \( 423 \).

### Step 2: Identify the pattern
Let's look closely at the first equation \( 246 = 8 \):
- Take the last two digits: \( 4 \) and \( 6 \).
- Add them: \( 4 + 6 = 10 \).
- Subtract the first digit \( 2 \): \( 10 - 2 = 8 \).

This matches the equation \( 246 = 8 \).

### Step 3: Apply the same pattern to the second equation
Now, for \( 624 = 0 \):
- Take the last two digits: \( 2 \) and \( 4 \).
- Add them: \( 2 + 4 = 6 \).
- Subtract the first digit \( 6 \): \( 6 - 6 = 0 \).

This matches the equation \( 624 = 0 \).

### Step 4: Apply the same pattern to the third equation
Next, for \( 327 = 6 \):
- Take the last two digits: \( 2 \) and \( 7 \).
- Add them: \( 2 + 7 = 9 \).
- Subtract the first digit \( 3 \): \( 9 - 3 = 6 \).

This matches the equation \( 327 = 6 \).

### Step 5: Apply the pattern to find \( 423 \)
Now, let's apply this pattern to \( 423 \):
- Take the last two digits: \( 2 \) and \( 3 \).
- Add them: \( 2 + 3 = 5 \).
- Subtract the first digit \( 4 \): \( 5 - 4 = 1 \).

Thus, \( 423 = 1 \).

### Final Answer
The value of \( 423 \) is \( 1 \).