Question 124

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

Solution

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.

Share on Whatsapp Share on Whatsapp

Create a FREE account and get:

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

AP ICET 2014 Question Paper

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

Login to your Cracku account

Hello! 👋

Ready to Unlock Your Success?

Please Enter Your OTP

Please enter the following details

Create a free Cracku account

Get Started with 5000+ Free CAT Questions & Mock Tests with Detailed Solutions!