PuzzlersWorld.com

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

Boy with Toffee #42

(No Ratings Yet)

April 30, 2013 by puzzler 2 Comments

Boy with Toffees

A boy has few toffees with him, then comes one of his friend and they decide to share them equally and they are able to divide them without any toffee remaining. Then one more friend comes and they divide the toffees in 3 equal parts, then one more friend comes, they are still able to divide the toffees in 4 equal parts, then comes one more friend, they are still able to divide them equally, similarly they are able to divide it equally in 5 and 6 equal parts but not when they are 7 and decide to divide equally they are left with one extra toffee.
Can you tell the minimum number of toffees boy had initially ?

Tried enough already?
See SolutionHide Solution
Since, They are able to divide the toffees equally between 2,3,4,5 and 6 boys so the number of toffees must be a multiple of all of these.
To get the minimum number we should first get the Least Common Multiple of 2,3,4,5 and 5, i.e. 2^2.3^1.5^1 = 60.
Now lets divide it by 7, the remainder is = 4, so it cant be the answer, So we should try the next possible answer i.e. 120, divide it by 7, remainder = 1, so minimum number of toffees boy can have is 120.

  • Share on Whatsapp
  • Share on Facebook
  • Share on Twitter
Facebook Comments
Facebook
Next Puzzle
How many eggs in the basket #43

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

Comments

  1. cj says

    September 20, 2013 at 5:10 pm

    if it is divided equally when there are 2,3,4,5,6 friends then it is LCM of those numbers i.e 5*4*6=120

    Reply
    • Gaurav k says

      May 18, 2015 at 2:23 pm

      @cj LCM is not correct ,, http://www.calculatorsoup.com/calculators/math/lcm.php it should be 60 for 2,3,4,5,6

      Reply

Leave a Comment Cancel reply

Submit your Puzzle

You may also like

  • 1 , 17 , 98 , 354 , ?
  • Number Puzzle; 289, 324, 36?
  • Number Puzzle #1
  • Average Age Puzzle #41
  • What is the next number in series? #50
  • Find out highest possible number
  • If 2-1=3 what is 10-10=???
  • What is next number?
  • 4, 6, 12, 18, 30, 42, 60, 72, 102, 108,?,?,?
  • Guess the pincode

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