perplexus.info :: Numbers : 35, 70, 105, 140...

35, 70, 105, 140... (Posted on 2006-05-03)

Find the smallest positive integer that is a multiple of 35 whose digits are all the same.

Submitted by Rob

Rating: 3.0000 (4 votes)

Solution: (Hide)

Simple trial and error yields 555,555 as the lowest number that satisfies these criteria.
This problem is from the UK Mathematics Trust Intermediate Mathematics Gold Olympiad, Maclaurin paper 2006.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Solution	K Sengupta	2022-06-04 00:26:45
Solution	Praneeth	2007-08-24 08:02:09
Solution	CharleyA.	2007-01-24 16:01:27
Solution	Sparsh	2006-05-12 04:48:13
Long Division Method	Richard	2006-05-03 13:57:42
Solution	Dej Mar	2006-05-03 13:16:24
solution	Charlie	2006-05-03 10:35:15
Klondike 5	Jyqm	2006-05-03 09:36:37
Some Tips	K Sengupta	2006-05-03 09:34:58

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