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when we perform a digit slide on a number, we move its unit digit to the front of the number.for ex the result of a digit slide on 6471 is 1647. let z be the smallest positive integar with 5 as its unit digit such that the result of a digit slide on the number equals 4 times the nos. how many digits will z have
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- as 5 is the last digit of the first no.
5*4=20 last two digit of new no.
old no.......5 new no. 5......20
now old no. becomes .......205 multiply it with 4
u'll get 820 so new no. becomes 5....820.
now old no. is .....8205 * 4 = 5..2820 (new no.)
old no becomes ...28205 *4 = 512820 (new no.)
and old no. becomes 128205 - 11 years agoHelpfull: Yes(15) No(1)
- As 5 is the last digit in the initial number and the first digit in the new number.
As 5 is the last digit in the first number, the last digit in the new number is 0
As 0 is the last but one digit in the old number, 2 is the last but one digit in the new number
As 2 is the last but two digit in the old number, 8 is the last but three digit in the new number
As 8 is the last but four digit, 2 is the last but four digit in the new number
As 2 is the last but five digit in the old number, 1 is the last but five in the new number
As 1 is the last but six digit in the old number, 5 is the last but six digit in the new number
As we got 5 , we can stop the process now
So, the old number is 128205 and 512820 is the new number
The number of digits in the number is 6
So, 6 is the answer - 11 years agoHelpfull: Yes(7) No(2)
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