Q64.The remainder when 72022 + 32022 is divided by 5 is (1) 0 (2) 2 (3) 3 (4) 4
What This Question Tests
This problem assesses the understanding of modular arithmetic, specifically finding remainders of large powers. It can be solved by identifying patterns in powers modulo 5 or by applying properties of congruences.
Concepts Tested
Formulas Used
a^n mod m = (a mod m)^n mod m
📚 NCERT Sections This Tests
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Physics Class 12 · Chapter 12
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Physics Class 11 · Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
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📋 Question Details
- Chapter
- Number Theory
- Topic
- Congruence modulo
- Year
- 2022
- Shift
- 28 Jul Shift 1
- Q Number
- Q64
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 1: Sets (Basic concept of remainders in higher classes)