Find the remainder when 17^91 is divided by 7.
Correct answer(s):
- 3
Topic
Modular Arithmetic
Practice related MCQ quizzes and improve step by step.
Quizzes in Modular Arithmetic
Find the remainder when 13^39 is divided by 17.
Correct answer(s):
- 4
Find the remainder when 4^92 is divided by 7.
Correct answer(s):
- 2
Find the remainder when 12^60 is divided by 29.
Correct answer(s):
- 1
Find the smallest positive integer that leaves remainder 4 when divided by 5 and remainder 2 when divided by 7.
Correct answer(s):
- 9
Find the smallest positive integer that leaves remainder 5 when divided by 6 and remainder 1 when divided by 7.
Correct answer(s):
- 29
Find the smallest positive integer that leaves remainder 3 when divided by 7 and remainder 4 when divided by 9.
Correct answer(s):
- 31
Find the smallest positive integer that leaves remainder 1 when divided by 4 and remainder 2 when divided by 5.
Correct answer(s):
- 17
Find the smallest positive integer that leaves remainder 2 when divided by 3 and remainder 3 when divided by 5.
Correct answer(s):
- 8
Find the remainder when 91×44 + 91 − 44 is divided by 19.
Correct answer(s):
- 4
Find the remainder when 83×65 + 83 − 65 is divided by 17.
Correct answer(s):
- 7
Find the remainder when 54×77 + 54 − 77 is divided by 16.
Correct answer(s):
- 7
Find the remainder when 29×96 + 29 − 96 is divided by 13.
Correct answer(s):
- 0
Find the remainder when 41×73 + 41 − 73 is divided by 9.
Correct answer(s):
- 0
Find the remainder when 37×58 + 37 − 58 is divided by 11.
Correct answer(s):
- 2
Find the remainder when 19^44 is divided by 29.
Correct answer(s):
- 16
Find the remainder when 17^55 is divided by 23.
Correct answer(s):
- 22
Find the remainder when 9^101 is divided by 16.
Correct answer(s):
- 9
Find the remainder when 14^64 is divided by 15.
Correct answer(s):
- 1
Find the remainder when 8^123 is divided by 11.
Correct answer(s):
- 6