What Is The Smallest Positive Integer That Leaves A Remainder Of 1 When Divided By 2, Remainder Of 2 When Divided By 3, A Remainder Of 3 When Divided By 4, And A Remainder Of 9 When Divided By 10?

• remainder of 1 when divided by 2: (2-1=1)
  remainder of 2 when divided by 3: (3-2=1)
  remainder of 3 when divided by 4: (4-3=1)
  remainder of 9 when divided by 10: (2-1=1)
  
  so N+1 should be divisible by 2,3,4,10
  
  (where N is desired number)
  
  L.C.M. of 2,3,4,10 = 60 (= N+1)
  
  N = 59
  
  PS: thanks to dinesh.
  Previous solution is the answer when number is divided 'successively' but that's not written in the problem statement.
• 11 years agoHelpfull: Yes(23) No(0)
• 59 also a probable answer.you can verify it.
  
• 11 years agoHelpfull: Yes(3) No(0)
• 2 | x
  ---------
  3 | y - 1
  ---------
  4 | z - 2
  ---------
  10| u - 3
  ---------
  | v - 9
  
  for smallest +ve integer, v =1
  
  u = 1*10+9 = 19
  z = 19*4+3 = 79
  y = 79*3+2 = 239
  x = 239*2+1 = 479 [answer]
  
• 11 years agoHelpfull: Yes(1) No(5)
• LCM of (2,3,4,10)=60;
  LCM-1;
  Ans:59
• 9 years agoHelpfull: Yes(1) No(0)
• Ans: 59
  59%10=9
  59%4=3
  59%3=2
  59%2=1
• 10 years agoHelpfull: Yes(0) No(1)
• 119 becaze 119/2 reminder 1 and 119/3 reminder 2 that way the ans is 119
• 10 years agoHelpfull: Yes(0) No(1)
• Ans=59
  59%10=9
  59%4=3
  59%3=2
  59%2=1
• 10 years agoHelpfull: Yes(0) No(1)
• is 59
  divided by 2 remainder 1
  divided by 3 remainder 2
  divided by 4 remainder 3
• 10 years agoHelpfull: Yes(0) No(0)
• Answer : 59
  59 / 2 = 29 ;(58) remainder 1
  59 / 3 = 19 ;(57) remainder 2
  59 / 4 = 14 ;(56) remainder 3
  59 / 10 = 5 ;(50) remainder 9
• 10 years agoHelpfull: Yes(0) No(0)