What will be the be the Unit digit when XXYYZZ is divided by 1001 .If X>Y>Z

• given that x>Y>Z
  so we assume x=3;y=2;z=1
  332211 when divided by 1001 gives remainder 880
  its unit digit is 0
  this condition is satisfy for all the values x>Y>Z
• 10 years agoHelpfull: Yes(6) No(2)
• @ aswartha
  any no of form xxyxxy is divisible by 1001
  here, let no be 332211 then just immediate smaller no divisible by 1001 will be 331331 and quotient will by 331..so unit digit of quotient will be 1 ie (y-1)
  same goes for 553322/1001 will have (3-1) ie 2 as unit digit of quotient
  997744/1001 ''''''''''(7-1) ie 6 ''''''''''''''''''''''''.
• 10 years agoHelpfull: Yes(3) No(0)
• an alteration in above...
  its (Y-1)...no will be XX(Y-1)XX(Y-1) and quotient will be XX(Y-1).
• 10 years agoHelpfull: Yes(2) No(3)
• mr.geetanshu will you plz clearly explain it by taking any numbers if possible,in advance thanks
  
• 10 years agoHelpfull: Yes(2) No(0)
• Z...just immediate no smaller than XXYYZZ would be XXZXXZ which will be divideed by 1001 and that will be XXZ times.
  
• 10 years agoHelpfull: Yes(0) No(4)
• unit digit equal to z
  let take example
  998877
  remainder is 877
  its unit digit is z
• 10 years agoHelpfull: Yes(0) No(1)
• Condition given that.x>y>z
  then x=9,y=8,z=7
  998877 divided by 10001 then remainder is=680,.........
  this condition is satisfy then unit digit is 0(Ans)
• 10 years agoHelpfull: Yes(0) No(0)