There is a running match, but there isn't anyone to judge; we have only information that the audience gave us (but we know their info is true). We the have name, rank, T-shirt color, and T-shirt number of each runner, as follows:

  1. Mahsa won and she wore a red T-Shirt.
  2. The girl who wore T-Shirt number 1 finished 3rd.
  3. Mahnaz, who defeated a girl with a yellow T-Shirt, didn't wear number 2.
  4. Only one girl got a rank that was as same as her T-shirt number; her T-shirt wasn't Red.
  5. Mozgan defeated a girl wearing number 3 and Maryam wore the yellow T-Shirt.
  6. The girl with green T-shirt wore number 2.
  7. One of the girls had a blue T-shirt.

There were 4 runners.
Can you name the girls along with their rank (1 to 4), number, and color?


2 Answers 2


I assumed from the word "defeat" in hints 3 and 5 that coming coming 2nd and 3rd would both defeat the 4th place-holder which pointed to it being Maryam.


1) Mahsa; Red; No.4

2) Mozgan; Green; No.2

3) Mahnaz; Blue; No.1

4) Maryam; Yellow; No.3

  • $\begingroup$ Forgot to use a comment. Still new to the site. And no problem. $\endgroup$
    – Omair
    Commented Aug 11, 2014 at 19:15
  • Rank 1: Mahsa wearing red number 4
  • Rank 2: Mozgan wearing green number 2
  • Rank 3: Mahnaz wearing blue number 1
  • Rank 4: Maryam wearing yellow number 3

This did not need more complicated means to solve. All girls are listed as beating someone besides Maryam so she is last. Mahsa can't wear 1, 2, or 3 as 1 got 3rd, 2 wore green, and 3 lost to someone. (I assume 4 is the remaining number.) Maryam must wear 3 as 2 wore green and others are taken. 2 must have won second as it is the only one left. Mahnaz must be 3rd as she didn't weat number 2.


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