Question

The last three - digits of the multiplication 12345 $\times$ 54321 will be

• A. 865
• B. 745
• C. 845
• D. 945

Answer 1

The correct option is B 745

Divide the given expression by 1000 and find the remainder to get the answer. (12345 $\times$ 54321) $÷$ 1000 = (2469 $\times$ 54321) $÷$ 200 $\to$ gives a remainder of (69 $\times$ 121) $÷$ 200 = 8349 $÷$ 200 $\to$ gives us a remainder of 149. Thus, the remainder would be 149 $\times$ 5 = 745. Hence, the last three digits would be 745.