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

• The unit digit will be = Y-1
  take eg. 443322,553311,992211,775522 whatever....
  this is beacuse while dividing the numbers by any multiple of 1001 eg
  
  1001|xxyyzz |xxp.dadasd
  - x00x
  ------
  0xpLz where p=y-1 since x>y so it have to give carry to right soY-1
  -xoox
  -------
  0pNUz N and U can be any thing ..not a big problem....
  
  now this is last division before decimal so p wiil be unit digit =Y-1
• 11 years agoHelpfull: Yes(24) No(5)
• unit digit will be 'Z'
  u can check it by taking eg. 332211 & 443322 or any other
• 11 years agoHelpfull: Yes(7) No(7)
• sorry it will be (y-1)....
• 11 years agoHelpfull: Yes(6) No(1)
• 1001)X X Y Y Z Z(X X Y
  X 0 0 X
  ______________________
  0 X Y Y-X Z
  X 0 0 X
  ______________________
  0 0 Y Y-Z Z-X Z
  Y 0 0 Y
  ______________________
  0 Y-Z Z-X Z-Y
  __________________________________
  
  SO REMINDER IS Z-Y.
  
• 11 years agoHelpfull: Yes(4) No(5)
• sry. ans is (Y-1)
• 11 years agoHelpfull: Yes(4) No(0)
• ans is y-1 not y
  
• 11 years agoHelpfull: Yes(4) No(0)
• Z. unit will be Z.
• 11 years agoHelpfull: Yes(3) No(10)
• take any value last digit of quotient will always be y-1...
• 11 years agoHelpfull: Yes(2) No(0)
• take a example and solve this one
  lets take 332211/1001=3333.decimal points
  so 3 is answer
  x=3
  ans=x
• 11 years agoHelpfull: Yes(1) No(21)
• the quotient of (XXYYZZ)/1001 is "Y" if X>Y>Z
• 11 years agoHelpfull: Yes(1) No(1)
• sorry not the quotient
  the last digit of the quotient is "Y"
• 11 years agoHelpfull: Yes(1) No(2)
• ans is y-1
• 11 years agoHelpfull: Yes(1) No(0)
• ans. is Y-1 because for any x>y>z we get quataint as xx(y-1) so it ans
• 9 years agoHelpfull: Yes(1) No(0)
• answer is Z-Y+1
• 11 years agoHelpfull: Yes(0) No(2)
• it will be (x-1)yz or (x+1)yz because as we sub or add in higher num it won't effect as much as in case of lower num. take an example as x=6,y=4 &z=2
• 11 years agoHelpfull: Yes(0) No(0)
• ans. (y-z)
• 11 years agoHelpfull: Yes(0) No(2)
• Unit digit is y-1. Checkout with 996633.
• 10 years agoHelpfull: Yes(0) No(0)