Latest Elitmus Aptitude Question SOLUTION: There is a 7 digit number X in which the units digit and the first digit is divisible by 4. The middle digit is divisible by 3. A number X' is formed by reversing the digits of the

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(#M40034969) ELITMUS Numerical Ability question Number System Keep an EYE

There is a 7 digit number X in which the units digit and the first digit is divisible by 4. The middle digit is divisible by 3. A number X' is formed by reversing the digits of the number X (eg. If X=1234567 the X' =7654321). Y=X-X'. What is the remainder when Y is divided by 18.
a)R < 3 b)3

Asked In Elitmus (10 years ago)

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RAKESH  (10 years ago)

ans: Rem = 0

unit & last digit of X is multiple of 4, can be 0,4,8
so,Y=X-X' is always an even no.
=> Y is divisible by 2

also , difference of a no. & its reverse is always a multiple of 9
[for 2 digit no., 10x+y-(10y+x)= 9(x-y)
for 3 digit no., 100x+10y+z-(100z+10y+x)=99(x-z) etc]
=> Y=X-X' is divisible by 9

Y is multiple of both 2 & 9 , so Y is multiple of 18
so, when Y is divided by 18 remainder is always zero.

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nandini keshari  (10 years ago)

If we take a no. let
X=8009004(since the first and last digits are divisible by 4)
X'=4009008(reverse)
Y=X-X'=3999996
The no is divisible by 18 and leaves zero remainder

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kishore arumalla  (10 years ago)

1st and last digits are divisible by 4 means 8*****4
middle number divisible by 3 then consider as x=8123574 x'=4753218
y is divisible by 18 and remainder is 0.

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Aditya Kumar Sinha  (10 years ago)

between 9 and 17

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yashu ayush  (10 years ago)

ans:- 0
Can u explain aditya how it will be between 9 and 17?

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suphia aftab  (10 years ago)

R

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Chandrashekhar   (10 years ago)

ans 0
4123454 x
4543214 y
y-x=41976/18=2332
remainder=0

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Anuj Awasthi  (9 years ago)

6845906704956709/76904760947/do u understand

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