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30 September, 16:57

The number 2^1993 + 3^1993 is a multiple of 5. What is the units digit of the quotient (2^1993 + 3^1993) / 5?

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  1. 30 September, 17:00
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    Answer: The unit digit of the quotient is 1.

    Step-by-step explanation:

    Since the number 2^1993 + 3^1993 is a multiple of 5, this means that no matter the value of the answer to the equation, the last digit will be 5 (we call the last digit of any number its "unit digit").

    Since the unit digit of 2^1993 + 3^1993 is 5, if the unit digit is divided by 5 i. e 5/5, it will give us 1.

    We will only consider the last digits of the multiple of 5 as our numerator
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