Remainder Theorem Level - 2

45 questions. Choose an option and see at once whether it was right, with the correct answer and a worked solution. No timer, and nothing to submit.

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Question 1
Find the remainder when 51²⁰³ is divided by 7.
Question 2
Find the remainder when 59²⁸is divided by 7.
Question 3
Find the remainder when 67⁹⁹ is divided by 7.
Question 4
Find the remainder when 75⁸⁰ is divided by 7.
Question 5
Find the remainder when 41⁷⁷ is divided by 7.
Question 6
Find the remainder when 21⁸⁷⁵ is divided by 17.
Question 7
Find the remainder when 54¹²⁴ is divided by 17.
Question 8
Find the remainder when 83²⁶¹is divided by 17.
Question 9
Find the remainder when 25¹⁰² is divided by 17.
Question 10
The last two-digits in the multiplication 122×123×125×127×129 will be