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IMAS 2019 — Upper Primary Grades 5–6 — Round 2 Question 3

IMAS · IMAS 2019 — Upper Primary Grades 5–6 — Round 2

Question 3

How many of the following five statements are true? I. Only if a multi-digit number has units digit equal to 0, then it has factors of 2 and 5 at the same time. II. All those numbers whose units digit is 3, 6, 9, are divisible by 3. III. The sum of all digits of a number that is divisible by 9 is not necessarily divisible by 9. IV. The smallest three-digit number divisible by 2, 3, and 5 is 150. V. For those numbers divisible by 6, it’s not only the units digit that is an even number, but also the sum of all digits is divisible by 3.
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