If 63578 is to 1415,
56732 is to 185,
and 34124 is to 86,
then, 72648 is to ?

Options

A. 1215
B. 1415
C. 1512
D. 1514

Answer

To solve the problem, we need to identify the pattern in the given pairs of numbers. Let's analyze the relationships step by step.

### Step 1: Analyze the first pair (63578 and 1415)
- We break down the first number:
- 6 + 3 + 5 = 14
- 7 + 8 = 15
- Thus, we can see that the first part of the code (14) corresponds to the sum of the first three digits, and the second part (15) corresponds to the sum of the last two digits.

### Step 2: Analyze the second pair (56732 and 185)
- Break down the second number:
- 5 + 6 + 7 = 18
- 3 + 2 = 5
- This gives us the code 185, where 18 corresponds to the sum of the first three digits and 5 corresponds to the sum of the last two digits.

### Step 3: Analyze the third pair (34124 and 86)
- Break down the third number:
- 3 + 4 + 1 = 8
- 2 + 4 = 6
- This gives us the code 86, where 8 corresponds to the sum of the first three digits and 6 corresponds to the sum of the last two digits.

### Step 4: Apply the same logic to the fourth number (72648)
- Break down the number:
- 7 + 2 + 6 = 15
- 4 + 8 = 12
- Thus, we get the code 1512, where 15 corresponds to the sum of the first three digits and 12 corresponds to the sum of the last two digits.

### Final Answer:
72648 is to 1512.

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