Q63.The remainder when (11)1011 + (1011)11 is divided by 9 is _____ . (1) 1 (2) 8 (3) 6 (4) 4
What This Question Tests
The question tests the application of modular arithmetic and the binomial theorem to find the remainder of a large sum of powers when divided by a specific number.
Concepts Tested
Formulas Used
(a+b)^n mod m
a^b mod m
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📋 Question Details
- Chapter
- Number Theory
- Topic
- Remainders
- Year
- 2022
- Shift
- 25 Jul Shift 2
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 1: Sets Relations Functions (basic concepts for number properties can be linked)