Latest Elitmus Aptitude Question SOLUTION: When we perform a 'digit slide' on a number, we move it unit's digit to the fornt of the no. For example the result of digi slide on 6471 is 1647.Let z be the smallest positive int

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(#M40017631) ELITMUS Logical Reasoning question Keep an EYE

When we perform a 'digit slide' on a number, we move it unit's digit to the fornt of the no. For example the result of digi slide on 6471 is 1647.Let z be the smallest positive integer with 5as its unit digit such that the resultof a digit slideon the no.equal to 4times the no. how many digit will z have?
A)7
B)6
C)4
D)3

Asked In Elitmus Akanksha Srivastava (11 years ago)

Solved Pargat Pal Singh Read Solution (7)

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Read Solution (7) :

sarab  (10 years ago)

as it is given that the number formed after digit slide is four times the original number with 5 at its unit place then keep on multiplying 5 with four until u get 5..
5*4=20 so tens digit will be 0 carry 2
now 0*4=0 carry=2 so digit at hundred place will be 2
now 2*4=8 thousand place digit=8
8*4=32 carry 3 ten thousand place digit will be 2
2*4=8+ carry= 11 write 1 carry 1
now finally 1*4=4 =carry =5

hence number is 512820 after digit sliding

Is this solution Helpfull? Yes (81) | No (2)  

Pargat Pal Singh  (11 years ago)

6 digits

128205*4= 512820

Is this solution Helpfull? Yes (20) | No (20)  

shakti prakash mishra  (11 years ago)

@pragat pal
please explain the solution

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shilpy  (9 years ago)

5*4=20
05*4=20
205*4=820
8205*4=32820
28205*4=112820
128205*4=512820
Hence 6 ans

Is this solution Helpfull? Yes (7) | No (1)  

TAPAS RANJAN PANDA  (9 years ago)

let N be a number with x digits such that z=Nx10+5
then the original no= Nx10+5
and the digit shifted no= 5x(10^x)+N
the equation can be made by 5x(10^x)+N= 4x(Nx10+5)
then i used assuming N as 2...the equation gave a decimal number for N
N=3...the equation gave a decimal for N
N=5...the equation gave a whole number made of 5 digit for N
hence the no is z=Nx10 +5 so total digit in z is 6

hope u find this solution as satisfactory

Is this solution Helpfull? Yes (3) | No (1)  

TAPAS RANJAN PANDA  (9 years ago)

let N be a number with y no of digits
such that z=N*10+5
and the digit shifted no k= 5*(10^y)+N
according to question k=4*z => 5*(10^y)+N= 4*(Nx10+5)
then i used assuming N as 2...the equation gave a decimal number for N
N=3...the equation gave a decimal for N
N=5...the equation gave a whole number made of 5 digit for N
hence the no is z=Nx10 +5 so total digit in z is 6

kavima hope u get it this time....its just a hit and trial method....so bit difficult to express

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kavima  (9 years ago)

Hi Tapas..I couldnot understand ur explanation.Can u please explain one more time?

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