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NDA 2023
Exam
NDA
Year
2023
Subject
Mathematics
Chapter
Sequences and Series

NDA 2023 · Mathematics · Sequences and Series

Paragraph: Consider the sum S=0!+1!+2!+3!+4!+ +100! Question: If...

Paragraph: Consider the sum S=0!+1!+2!+3!+4!+…+100!\mathrm{S}=0!+1!+2!+3!+4!+\ldots+100!
Question: If the sum SS is divided by 60 , what is the remainder?

Options

  1. A11
  2. B33
  3. C1717
  4. D3434

Correct answer

D. 3434

Step-by-step solution

∵5!=120∴\because \quad 5!=120\therefore \quad All factorials of 5 or above are divisible by 60 ∴\therefore \quad Remainder will be from 0!+1!+2!+3!+4!=340!+1!+2!+3!+4!=34
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