badge image

Enroll For Free Now & Improve Your Performance.

User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.

Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: Rs.

There are no items in this cart.
Continue Shopping


how many natural numbers smaller than 10^4 and divisible by 4 can be formed using 01235.

9 years ago

Answers : (1)

AKASH GOYAL AskiitiansExpert-IITD
419 Points

Dear Shiwani

One digit number- there will be no one digit number

two digit numbers

12,20,32,52 total 4

3 digit number

we have to fix last two digit for the divisibility by 4

last two digits can be 12,20,32,52 corresponding to these first digit can be chosen in 4 ways leaving 0 out of 5 numbers 0,1,2,3,5

so there are 4*4=16 numbers


4 digit numbers

again last two digits will be 12,20,32,52 and first digit can be chosen in 4 ways (leaving 0) and 2nd digit can be chosen in 5 ways so for each there will be 4*5=20 numbers total for all the 12,20,32,52 will be 4*20=80 numbers


there will be no 5 digit number


so total numbers will be= 4+16+80= 100 numbers


All the best.                                                           


AskiitiansExpert-IIT Delhi


Please feel free to post as many doubts on our discussion forum as you can. We are all IITians and here to help you in your IIT JEE preparation.

Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar  respectively : Click here to download the toolbar..



9 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution

Course Features

  • 101 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!! Click Here for details