Problem 9 · 2017 Math Kangaroo
Medium
Logic & Word Problems
off-by-onecareful-counting
Leo and Max are standing in a queue that is made up of 11 people in total. There are 7 people in front of Leo, and Max stands directly behind him in the queue. How many people are behind Max?
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Answer: B — 2
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Hint 1 of 2
First work out Leo's place in line from the 7 people ahead of him.
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Hint 2 of 2
Max is right behind Leo; the rest of the 11 are behind Max.
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Approach: locate each person, then count the tail
- 7 people are in front of Leo, so Leo is 8th.
- Max stands directly behind Leo, so Max is 9th.
- There are 11 people total, leaving 11 - 9 = 2 behind Max.
- So 2 people are behind Max.
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