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Answer: 12
$\times$10 adds a zero (or $\times$2$\times$5)
If a number ends in zero, it must be a multiple of 10
So count how many times 10 or 2$\times5$ appears
10 multiples of 5 plus 2 more for 50 and 25 = 12
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.