TIMO 2017 Grade 3 Heat Set 5

Question 1

John, Amy and Peter are good friends. One of them is a merchant. One of them is a student. One of them is a soldier. Given that Amy is older than the soldier. Peter’s age is larger than the soldier’s. Student’s age is smaller than Amy’s. Who is the merchant?

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Question 2

According to the pattern shown below, counting from the left how many circles are there from the 1st to the 103rd one? ○ ○ ○ △ □ ○ ○ ○ ○ △ □ ○ ○ ○ ○ △ □ ○ ○…

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Question 3

Amy bought a pair of beautiful shoes. Her classmates never saw this pair of shoes before. So, they start guessing. Peter said that “Your shoes are not red.” John said that “Your shoes are either blue or black.” Andy said that “Your shoes must be black.” Within the point of view of these 3 people, only one of them is wrong. What colour are Amy’s shoes?

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Question 4

John wrote a 3-digit number on a piece of paper and asked Peter to guess it. Peter asked: “Is the number 123?” John replied: “One of the digits is correct. The position of that digit is correct.” Peter asked again: “Is the number 178?” John replied: “Two digits are correct. The positions of those digits are wrong.” Peter asked again: “Is the number 782?” John said: “All three digits are correct, but the digits are in the wrong places.” What is the number written by John?

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