In each of the following questions , three statements of numbers following same rules are given . Find the rule and accordingly find the value of the number ?
If `3 + 8 = 17 , 5 - 2 = 23 , 6 xx 2 = 72` , then `8 -: 4 = ?`

Options

A. 12
B. 18
C. 25
D. 16

Explanation

To solve the problem, we need to identify the pattern or rule applied in the given statements. Let's analyze each statement step by step.

### Step 1: Analyze the first statement
**Given:** \(3 + 8 = 17\)

**Finding the rule:**
- Square the first number: \(3^2 = 9\)
- Add the second number: \(9 + 8 = 17\)

### Step 2: Analyze the second statement
**Given:** \(5 - 2 = 23\)

**Finding the rule:**
- Square the first number: \(5^2 = 25\)
- Subtract the second number: \(25 - 2 = 23\)

### Step 3: Analyze the third statement
**Given:** \(6 \times 2 = 72\)

**Finding the rule:**
- Square the first number: \(6^2 = 36\)
- Multiply by the second number: \(36 \times 2 = 72\)

### Step 4: Apply the identified rule to the new statement
**Given:** \(8 \div 4 = ?\)

**Using the same rule:**
- Square the first number: \(8^2 = 64\)
- Divide by the second number: \(64 \div 4 = 16\)

### Final Answer
Thus, \(8 \div 4 = 16\).

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