Assertion : The unit digit of cube of 528, 38 and 1298 is 2.
Reason : If a number ends with 8, then its cube ends with 2.

Options

A. If both asseration and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true but reason is not the correct explanation of assertion.
C. If assartion is true but reason is false.
D. If assertion is false but reason is true.

Answer

To solve the question, we need to analyze both the assertion and the reason provided.

### Step 1: Understanding the Assertion
The assertion states that the unit digit of the cubes of the numbers 528, 38, and 1298 is 2.

### Step 2: Identifying the Unit Digits
First, we need to identify the unit digits of the numbers given:
- The unit digit of 528 is 8.
- The unit digit of 38 is 8.
- The unit digit of 1298 is 8.

### Step 3: Finding the Cube of the Unit Digit
Next, we need to find the cube of the unit digit (which is 8) and determine its unit digit:
- Calculate \(8^3\):
\[ 8^3 = 8 \times 8 \times 8 = 64 \times 8 = 512 \]
- The unit digit of 512 is 2.

### Step 4: Conclusion of the Assertion
Since the unit digit of the cube of each of the numbers (528, 38, and 1298) is indeed 2, the assertion is correct.

### Step 5: Understanding the Reason
The reason states that if a number ends with 8, then its cube ends with 2. We have already verified this by calculating \(8^3\) and observing that the unit digit is 2.

### Step 6: Conclusion of the Reason
The reason is also correct since we have shown that the unit digit of the cube of any number ending in 8 is 2.

### Final Conclusion
Both the assertion and the reason are correct. Therefore, the correct answer is that both the assertion and the reason are true.

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