BMAT Question Discussion

A BMAT question listed as that used for practise on BMAT Ninja had an interesting challenge that I'd thought I'd share with you guys to see if you could perhaps come up with a better solution.

"When I made a hotel reservation online yesterday, I was given an 8-digit booking reference which contained no zeros. It did, however, consist of three 2-digit odd numbers followed by the sum of these three numbers, and all eight digits were different."

The first digit of the booking reference was 4. What was the last digit?

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Examiner notes:

Spoiler

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Personally, I abhor the use of trial and error as it can be quite temperamental, as a result I shall post what I believe is a better way of deducing the correct sequence in the form of a spoiler, if you'd like to try yourselves then feel free!

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Personal Solution:

Spoiler

(edited 7 months ago)