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

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(#M40019200) ELITMUS Numerical Ability question quant Keep an EYE

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

Asked In Elitmus suryakant kumar (10 years ago)

Unsolved Read Solution (17)

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shekhar pankaj  (10 years ago)

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

Is this solution Helpfull? Yes (24) | No (5)  

madhuri gupta  (10 years ago)

unit digit will be 'Z'
u can check it by taking eg. 332211 & 443322 or any other

Is this solution Helpfull? Yes (7) | No (7)  

siddhant  (10 years ago)

sorry it will be (y-1)....

Is this solution Helpfull? Yes (6) | No (1)  

zen mano  (10 years ago)

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.

Is this solution Helpfull? Yes (4) | No (5)  

ashutosh jha  (10 years ago)

sry. ans is (Y-1)

Is this solution Helpfull? Yes (4) | No   

venkatesh  (10 years ago)

ans is y-1 not y

Is this solution Helpfull? Yes (4) | No   

suryakant kumar  (10 years ago)

Z. unit will be Z.

Is this solution Helpfull? Yes (3) | No (10)  

sarab  (10 years ago)

take any value last digit of quotient will always be y-1...

Is this solution Helpfull? Yes (2) | No   

nishanth  (10 years ago)

take a example and solve this one
lets take 332211/1001=3333.decimal points
so 3 is answer
x=3
ans=x

Is this solution Helpfull? Yes (1) | No (21)  

venkatesh  (10 years ago)

the quotient of (XXYYZZ)/1001 is "Y" if X>Y>Z

Is this solution Helpfull? Yes (1) | No (1)  

venkatesh  (10 years ago)

sorry not the quotient
the last digit of the quotient is "Y"

Is this solution Helpfull? Yes (1) | No (2)  

Govind Kishore  (10 years ago)

ans is y-1

Is this solution Helpfull? Yes (1) | No   

mukesh kumar  (9 years ago)

ans. is Y-1 because for any x>y>z we get quataint as xx(y-1) so it ans

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zen mano  (10 years ago)

answer is Z-Y+1

Is this solution Helpfull? Yes | No (2)  

siddhant  (10 years ago)

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

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ashutosh jha  (10 years ago)

ans. (y-z)

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SOUGATAMOY BISWAS  (10 years ago)

Unit digit is y-1. Checkout with 996633.

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