This proves that "Math is a game"

Logic Level 2

The diagram below shows a 5 by 5 table:

The top row contains the symbols P, Q, R, S and T. The fourth row contains the symbol P, Q and R at the centre. The remaining squares can be filled with P's, Q's, R's, S's and T's such that no row, column or diagonal contains the same symbol more than once. The symbol that must go to the golden star is:

R P T Q S

Syed Hamza Khalid by Syed Hamza Khalid , 17, France

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4 solutions

Syed Hamza Khalid
Aug 13, 2018

2 Helpful 0 Interesting 1 Brilliant 0 Confused
Jeremy Galvagni
Aug 13, 2018

The 4th row must be TPQRS because the T can't be at the right end.

The very center of the grid must be S. The / diagonal must run from lower left to upper right as RPSQT.

The only choice remaining for the ⋆ \huge \color{#CEBB00} \star is Q \boxed{Q}

1 Helpful 0 Interesting 2 Brilliant 0 Confused

Boy, fast reasoning.

Michael Mendrin - 2 years, 10 months ago
Hongqi Wang
Jan 31, 2021
  • 4th column, Q can only be in 2nd row
  • diagonal bottom-left to top-right, R must be in bottom-left cell
  • 1st column, Q must be in star cell
0 Helpful 0 Interesting 0 Brilliant 0 Confused
X X
Aug 13, 2018

P Q R S T

S T P Q R

Q R S T P

T P Q R S

R S T P Q

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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