TIMO 2017 Grade 2 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. In addition, we know following situations: Peter’s age is larger than soldier’s. Student’s age is smaller than Amy’s. John’s age is different from that of student’s. Who is the student?

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Question 2

According to the pattern shown below, which symbol should be the 28th one starting from the left? ○ ○ ○ △ □ ○ ○ ○ △ □ …

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Question 3

Amy bought a pair of beautiful shoes. Her classmates never saw this pair of shoes before and they start guessing. Peter said that “Your shoes are not red.” John said that “Your shoes are either yellow or black.” Andy said that “Your shoes must be black.” Within the point of view of these 3 people, two of them are correct and 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 892?” John replied: “One of the digits is correct, the position of that digit is also correct.” Peter asked again: “Is the number 178?” John replied: “Two digits are correct, but the positions of those digits are both wrong.” Peter asked again: “Is the number 785?” John said: “All three digits are correct, but the digits are all in the wrong places.” What is the number written by John?

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