Enigma 71: Some very cross numbers
16 March 2013
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From New Scientist #1214, 14th August 1980 [link]
It might be said — indeed it has been said — that Uncle Bungle has a genius for getting things wrong. This has not hitherto ruffled the imperturbability of his temper, but the other day, perhaps as a result of excessive pulling of a leg that has perceptibly lengthened through the years, something snapped. “All right”, he said crossly, “if you say I get things wrong I’ll get things wrong”. And he proceeded to produce a cross-number puzzle in which every single clue was incorrect. And this time there was no mistake in the mistakes. (There are no 0’s in the solution). The puzzle was as follows:
1-2-3 Not a multiple of 3 and of 5 and of 7.
4-5-6 The sum of the digits is greater than 5.
7-8-9 The last digit is less than the sum of the first two.
1-4-7 The sum of the digits is less than 19.
2-5-8 The sum of the digits is greater than the sum of digits of 3 down.
3-6 An odd number.
Find Uncle Bungle’s solution.