Find the smallest positive integer that leaves remainder 3 when divided by 4 and remainder 2 when divided by 5.
Correct answer(s):
- 7
Topic
Modular Arithmetic
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Quizzes in Modular Arithmetic for Grade 8
Find the remainder when 10^6 + 10^3 + 1 is divided by 9.
Correct answer(s):
- 3
Find the smallest positive integer x such that 3x + 1 is divisible by 7.
Correct answer(s):
- 2
Calculate the remainder when 2^10 is divided by 5.
Correct answer(s):
- 4
Calculate the remainder when 2^10 is divided by 3.
Correct answer(s):
- 1
Find the remainder when 2^10 is divided by 7.
Correct answer(s):
- 2
Find the remainder when 5^3 + 3^4 is divided by 7.
Correct answer(s):
- 3
Find the remainder when 7^100 is divided by 6.
Correct answer(s):
- 1
Find the smallest positive integer that is divisible by both 8 and 12 and leaves a remainder of 4 when divided by 5.
Correct answer(s):
- 24
Find the remainder when 2^10 is divided by 5.
Correct answer(s):
- 4
Find the remainder when 7^4 is divided by 5.
Correct answer(s):
- 1