Find the remainder when 12^97 is divided by 19.
Correct answer(s):
- 12
Topic
Modular Arithmetic
Practice related MCQ quizzes and improve step by step.
Quizzes in Modular Arithmetic
Find the remainder when 3^146 is divided by 10.
Correct answer(s):
- 9
Find the remainder when 11^85 is divided by 17.
Correct answer(s):
- 10
Find the remainder when 5^137 is divided by 9.
Correct answer(s):
- 2
Find the remainder when 7^222 is divided by 13.
Correct answer(s):
- 12
What is the remainder when 2,345,678 is divided by 9
Correct answer(s):
- 8
Find the remainder when 2^100 is divided by 3.
Correct answer(s):
- 1
What is the remainder when 2^50 is divided by 7
Correct answer(s):
- 4
Find the last nonzero digit of n = 3^8 × 5^6 when n is expressed in base 10.
Correct answer(s):
- 5
Find the remainder when 10^7 + 10^5 + 10^3 + 10 is divided by 9.
Correct answer(s):
- 4
Find all digits x (0–9) such that the three-digit number 2×4 is divisible by both 3 and 4.
Correct answer(s):
- 0
- 6
Find the smallest positive integer that leaves remainder 3 when divided by 4 and remainder 2 when divided by 5.
Correct answer(s):
- 7
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