Find the greatest 4 digit number that satisfies the following condition's
1)The number divided by 10 gives reminder 9
2)The number divided by 9 gives reminder 8
3)The number divided by 8 gives reminder 7
4)and so on....
Clue:-) Ans is greater 5000

• Answer is very simple:
  take L.C.M of numbers(2,3,4,5,6,7,8,9,10) = 2520
  for that we are not checking 1 so 2520 - 1 = 2519
  so the next possibility after 2519 is 2519 + 2520 = 5039
  after 5039 the next possibility is 5039 + 2520 = 7559
  so the four digit numbers that satisfy the conditions are
  1)2519
  2)5039
  3)7559
  so the greatest four digit number is 7559....
  enjoyyyy....
  
• 12 years agoHelpfull: Yes(27) No(5)
• Take L.C.M of numbers(2,3,4,5,6,7,8,9,10) = 2520
  the greatest 4-digit no. is 9999
  we divide 9999 by 2520 and the remainder is 2439.
  
  Step 1==> we subtract the remainder from 9999.
  9999-2439 = 7560
  Step 2==> Subtract 1 from 7560
  7560-1= 7559 (this is required Ans.)
  Note:- 1= C.D of divisor and respective remainder given in ques
  9-8 = 8-7= 7-6= 6-5= 5-4= 4-3= 3-2= 2-1= 1
  
  
• 12 years agoHelpfull: Yes(16) No(2)
• lcm of 10,9,8 is 360
  the greatest possible four digit number is9999
  divide the number by 360 we get remainder of 2799
  subtract remainder from 9999 we get=9999-2799=7200
  then sub 1 from ans=7199...............
  that's it the number which satisfy the above conditions
• 9 years agoHelpfull: Yes(0) No(1)
• first we need to find LCM of 10,9,8 because remainder differrence is equal.
  LCM of(10,9,8)=360
  than divide largest four digit number by 360
  i.e 9999/360
  we got remainder 279
  subtract that remainder with 9999
  we got 9720 which is the largest number required.
• 8 years agoHelpfull: Yes(0) No(0)