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COMEDK2020MathematicsBinomial Theorem

The remainder obtained when 5¹²⁴ is divided by 124 is

Options

  1. A0
  2. B5
  3. C1
  4. D2

Correct answer

B. 5

Step-by-step solution

We have; aligned 5¹²⁴ &= (5³ )⁴¹ 5 Now, 5³ &=1 ( 124) (5³ )⁴¹ &=1 124) (5³ )⁴¹ 5 &=1 5( 124)=5( 124) aligned So, the remainder obtained when 5¹²⁴ is divided by 124 is 5 .

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