What is the unit digit in the multiplication of 1 × 3 × 5 × 7 × 9 × ... × 999?
Correct Answer :
5
Solution :
The correct answer is Option 5.
Step 1: Analyze the given expression
We are asked to find the unit digit of the product of odd numbers:
Step 2: Understand the property of multiplication by 5
Notice that one of the factors in this product is 5.
When 5 is multiplied by any odd integer, the resulting number always ends with the unit digit 5:
(unit digit is 5)
(unit digit is 5)
(unit digit is 5)
Step 3: Conclusion
Since all numbers in the given series are odd numbers, multiplying 5 by any combination of these odd numbers will always yield a product ending with the unit digit 5.
Therefore, the unit digit in the given multiplication is 5.
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