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NTA Abhyas JEE Main2020MathematicsBinomial TheoremPractice

The last two digits of the number 23 14 are

Options

  1. A01
  2. B03
  3. C09
  4. D17

Correct answer

C. 09

Step-by-step solution

23 14 = 529 7 = 530 - 1 7 = C 7 0 530 7 - C 7 1 530 6 + . … … . - C 7 5 530 2 + C 7 6 530 - 1 = 100 K + 7 × 530 - 1 = 100 K + 3709 ⇒ last two digits are 09

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