It doesn't make sense

Logic Level 4

I am a part of a straight line of n n people. In front of me there are only 27 people. In front of the person in front of me there are also only 27 people. Behind the person behind me there are only 28 people. Determine the minimum number of people in front of the person behind me, which would comply to all conditions. Note that I am not at the front or end of the line, nor does the line contain infinite number of people.

Note: The phrase "X is in front of Y" means that X faces toward Y.


The answer is 25.

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Efren Medallo by Efren Medallo , 26, Philippines

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2 solutions

Efren Medallo
Jun 21, 2015

Let us first validate the problem.

In front of me there are 27 27 people. Naturally, there should only be 26 26 people in front of the person in front of me if we faced the same direction . If the person in front of me faced the opposite direction, he would have faced me. Then there should be 26 26 people behind me.

For the third condition, however, there would again be a discrepancy as there should be 28 28 people behind the person behind me, but behind me there are only 26 26 . This arises if, again, the person behind me faces the same direction as I am. If the person behind faces opposite my direction, that is, I am behind him, then the condition becomes true, as behind him would be me and the other 27 27 people in front of me.

Since there are 26 26 people behind me, then in front of the person behind me would be 25 25 .

2 Helpful 0 Interesting 0 Brilliant 0 Confused

This is kinda nitpicky, but there being 27 people in front of me does not imply that there aren't 28 people in front of me as well. You didn't write "... there are only 27 people", which would have made a huge difference.

Johannes Berger - 5 years, 8 months ago

You must write there are exactly 27 people in front of me.

Ravi Dwivedi - 5 years, 8 months ago

If they faced the same direction, then you could have the line be a circle and then depending on how you wanna see it you could say there are 27 people in front of the person.

Ryan Henderson - 5 years, 8 months ago
Ahmed Obaiedallah
Oct 27, 2015

The person in front of me and I are facing each other

The person behind me and I are standing back to back

Now since the person "in front of me" sees 27 person (the one behind me and I included)

And the person "behind me" has 28 person behind him (the one "in front of me" and "I" included)

Then the person "behind me" will be facing the remaining of 27 person the one "in front of me" sees

which is =27 minus ("me" plus "the one in front of me") =25

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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