PuzzlersWorld.com

  • Hacker Puzzle
  • Interview Puzzles
  • Number Puzzles
  • Maths Puzzles

9 digit number #46

(1 votes, average: 4.00 out of 5)

April 27, 2013 by puzzler Leave a Comment

9 digit number puzzle

There is a 9 digit number. No digit are repeated and rightmost digit is divisible by 1 and right 2 digits is divisible by 2, right 3 digits is divisible by 3 and so on, finally the whole number is divisible by 9.

Can you find out the number?

See SolutionHide Solution
As the right two digits are divisible by 2, so rightmost digit should be even, at the same time right 5 digits are divisible by 5 so the rightmost digit can be 5 or 0, but as it should be even so it can only be 0.

Now, Right 4 digits are divisible by 4, so the rightmost two digits can be either 20, 40, 80 or 60.
To be divisible by 9 the digits of a number must sum to a multiple of 9. Adding the 10 digits together (0+1+2+…+8+9) gives 45 which is div by 9. However, this is a 9-digit number so we have to drop one from the ten. We can only take out 0 or 9 and still have the remaining digits sum to a multiple of 9. We’ve already shown that 0 is present so the 9 is dropped.
Right 3 digits are divisible by 3 so these 3 digits can be 120, 420, 720, 240, 540, 840, 180, 480, 780, 360.
Now to be divisible by 6 sum of the six digits should be divisible by 3 and it should also be even, which it is.

There is no rule for divisible by 7 so we just have to take digits such that they are divisible by 7, there can be many such numbers and one such number is 123567480.

  • Share on Whatsapp
  • Share on Facebook
  • Share on Twitter
Facebook Comments
Facebook
Next Puzzle
Average Age Puzzle #41

Checkout more Number Puzzles Tags: Difficult, Number, Puzzle, Solved Puzzles

Leave a Comment Cancel reply

Submit your Puzzle

You may also like

  • Find out the missing digit – 30 43 51  ?
  • Number Puzzle #2
  • Number Puzzle #39
  • 1 + 1 + 1 + 1 + 1 90% Fail
  • Number Puzzle #212 – What is the answer ?
  • Number Puzzle 8 3 4 9 4 6 12 2 ?
  • Extra one dollar riddle
  • find missing number
  • Number puzzle #67, 4+5+4+5=81
  • If 1 + 1 = 2

Categories

  • Aive hi Puzzles
  • Akbar and Birbal
  • Alphabetical Puzzles
  • Bollywood Puzzles
  • Google Code jam
  • Hindi Riddles
  • Interview Puzzles
  • Interview Questions
  • Logical Puzzles
  • Malayalam Puzzles
  • Maths Puzzles
  • Miscellaneous
  • Number Puzzles
  • Picture Puzzles
  • Riddles
  • Tamil Puzzles
  • Technical

Social

  • View puzzlersworld’s profile on Twitter
privacy policy

Copyright © 2025 · eleven40 Pro Theme on Genesis Framework · WordPress · Log in

  • Hacker Puzzle
  • Logo Puzzles
  • Optical Illusions
  • WhatsApp Puzzles
  • Picture Puzzles
  • Riddles
    ▼
    • Hindi Riddles
  • Bollywood Puzzles
  • Alphabetical Puzzles
  • Aive hi Puzzles
  • Interview Puzzles
  • Logical Puzzles
  • Interview Questions
    ▼
    • Data Structures
    • Binary Tree
    • Algorithms
    • Recursion Questions
    • Amazon Interview Questions
    • Snapdeal Interview Questions
    • Google Code jam
  • Technical
  • Akbar and Birbal
  • Number Puzzles
  • Maths Puzzles
  • Miscellaneous