Latest Elitmus Aptitude Question SOLUTION: What will be the be the Unit digit when XXYYZZ is divided by 1001 .If X>Y>Z

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(#M40034205) ELITMUS Numerical Ability question Number System Keep an EYE

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

Asked In Elitmus tausif (10 years ago)

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shivendra pratap singh  (10 years ago)

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

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Geetanshu  (10 years ago)

@ 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 ''''''''''''''''''''''''.

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Geetanshu  (10 years ago)

an alteration in above...
its (Y-1)...no will be XX(Y-1)XX(Y-1) and quotient will be XX(Y-1).

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aswartha  (10 years ago)

mr.geetanshu will you plz clearly explain it by taking any numbers if possible,in advance thanks

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Geetanshu  (10 years ago)

Z...just immediate no smaller than XXYYZZ would be XXZXXZ which will be divideed by 1001 and that will be XXZ times.

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Navpreet Singh  (9 years ago)

unit digit equal to z
let take example
998877
remainder is 877
its unit digit is z

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mahul  (9 years ago)

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)

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