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Walking the Blank (Posted on 2013-08-19) Difficulty: 3 of 5
Find the probability that if each of the digits 0, 1, 2, ..., 9 be placed exactly once in random order in the blank spaces of:

5_383_8_2_936_5_8_203_9_3_76

the resulting number will be divisible by 396.

No Solution Yet Submitted by K Sengupta    
Rating: 3.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution spoiler, hopefully | Comment 1 of 4
ANS: ZERO
The resulting number will be divisible by 36 (sod=90+45,
ends by..76), but cannot be divisible by 11, 
since 73-(17+45) is not 0 mod 11.

REM: unless I've erred in my hasty addition.

Anyway, why D3?

  Posted by Ady TZIDON on 2013-08-19 10:46:19
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