their are 1000 ice cream vending machines in school.the 1ts student goes to all ice cream vendings.The2nd studentcisits every alternate vending machine.the student visits evert 3rd vending then what is number of vending machines will most student visit?

• lcm 0f 1,2,3=6
  10006=166
  so ans in 166
• 12 years agoHelpfull: Yes(18) No(11)
• 840 icecream vending machine..
  bcoz student 1,2,3,4,5,6,7,8 will go to that vending machine...
• 12 years agoHelpfull: Yes(7) No(12)
• Please, explain the concept to solve it.
• 12 years agoHelpfull: Yes(2) No(1)
• common multiple in table of 2 and 3 are (6 12 18 24 30) so 5 most visited machine out of 30 then out of 1000 there will be 166.5~166machine
  if answer is wrong let me know
• 6 years agoHelpfull: Yes(1) No(3)
• ans =840.
  the problem is basically " which number between 1 to 1000 has the highest number of factors?"
  how??
  ex: take vending machine number 6, (it's factors are 1,2,3,6) so it has 4 visits.
  
  (To know about number with most factors, one has to learn about highly composite number or anti prime number.
  Number 6 has most factors between 1 &10.
  Similarly, number 60 has most factor between 1 &100
  Likewise, 840 is the number with most factor between 1 & 1000}
• 4 years agoHelpfull: Yes(1) No(0)
• SHIVESH EXPLAIN CLEARLY..IF IT POSSIBLE mail me the solution coolramya7@gmail.com
• 12 years agoHelpfull: Yes(0) No(2)
• lcm of the numbers 1,2,3=6
• 6 years agoHelpfull: Yes(0) No(1)