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MathsMediumMCQ2025 ยท 29 Jan Shift 2

Q12.The remainder, when 7103 is divided by 23 , is equal to : (1) 6 (2) 17 (3) 9 (4) 14

What This Question Tests

This question tests the ability to find the remainder of a large power divided by a number using modular arithmetic properties, specifically cyclicity of remainders or Euler's totient theorem.

Concepts Tested

Modular arithmeticEuler's totient theoremCyclicity of remainders

Formulas Used

a^b mod n

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๐Ÿ“‹ Question Details

Chapter
Sequences & Series
Topic
Modular Arithmetic (Remainder Theorem)
Year
2025
Shift
29 Jan Shift 2
Q Number
Q12
Type
MCQ
NCERT Ref
Class 11 Mathematics Ch 7: Permutations and Combinations (Indirect application via number theory)
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