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HKIMO 2026 Grade 5 National Final (Heat) Set 05 Question 3

HKIMO · HKIMO 2026 Grade 5 National Final (Heat) Set 05

Question 3

John wrote a 2-digit number and asked Peter to guess it.

Peter: “Is the number divisible by 12?”

John: “It is divisible by 12.”

Peter: “Is the number divisible by 27?”

John: “No, it is not divisible by 27.”

Peter: “Is it a square number?”

John: “Yes, it is a square number.”

What number did John write?

Source glossary (English–Vietnamese): 2-digit number: số có 2 chữ số; Divisible: chia hết; Square number: số chính phương.