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What will be the unit digit of the cube of a number ending with 4 ?
  • a)
    4    
  • b)
    6
  • c)
    2                              
  • d)
    8
Correct answer is option 'A'. Can you explain this answer?
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What will be the unit digit of the cube of a number ending with 4 ?a)4...
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What will be the unit digit of the cube of a number ending with 4 ?a)4...
Solution:

To find the unit digit of the cube of a number ending with 4, we can use the following method:

1. Write down the number ending with 4.

2. Find the cube of the digit in the tens place of the number.

3. Write down the last digit of the cube of the digit in the tens place.

4. Multiply this digit by 4 and write down the last digit of the result.

5. This will be the unit digit of the cube of the original number.

For example, let's take the number 34.

1. We have the number 34.

2. The digit in the tens place is 3, so the cube of 3 is 27.

3. The last digit of 27 is 7.

4. If we multiply 7 by 4, we get 28. The last digit of 28 is 8.

5. Therefore, the unit digit of the cube of 34 is 8.

Similarly, if we take the number 24,

1. We have the number 24.

2. The digit in the tens place is 2, so the cube of 2 is 8.

3. The last digit of 8 is 8.

4. If we multiply 8 by 4, we get 32. The last digit of 32 is 2.

5. Therefore, the unit digit of the cube of 24 is 4.

Hence, we can see that the unit digit of the cube of a number ending with 4 is always 4.
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