Question Details

What is the unit digit in the multiplication of 1 × 3 × 5 × 7 × 9 × ... × 999?

Options

A

1

B

3

C

5

D

9

Show Answer

Correct Answer :

Option C

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:
1×3×5×7×9××999

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:
5×1=5
5×3=15 (unit digit is 5)
5×7=35 (unit digit is 5)
5×9=45 (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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