Question 124

The remainder obtained when $$1! + 2! + 3! + .... + (2014)!$$ is divided by 7 is

Solution

Share

The remainder will actually depend on the sum from 1!+2!+3!+4!+...........+6! because after that every factorial will be a multiple of 7. This sums up to 873. Hence the sum will be 7m+873. Now 873 when divided by 7, has remainder 5. Hence the remainder will be 5. 

Get AI Help

View More Questions From Quant

Create a FREE account and get:

  • Download Maths Shortcuts PDF
  • Get 300+ previous papers with solutions PDF
  • 500+ Online Tests for Free

Join CAT 2026 course by 5-Time CAT 100%iler

Crack CAT 2026 & Other Exams with Cracku!

Enroll Now
Ask AI

Ask our AI anything

AI can make mistakes. Please verify important information.