Q81.If (2021)3762 is divided by 17, then the remainder is _______.
What This Question Tests
This question tests the application of modular arithmetic, specifically Fermat's Little Theorem or Euler's totient theorem, to find the remainder of a large power divided by a prime number.
Concepts Tested
Formulas Used
a^p-1 ≡ 1 (mod p) for prime p (Fermat's Little Theorem)
a^φ(n) ≡ 1 (mod n) (Euler's totient theorem)
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Number Systems
- Topic
- Remainders using modular arithmetic
- Year
- 2021
- Shift
- 17 Mar Shift 1
- Q Number
- Q81
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 1: Sets (related to number theory basics)