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SASMO 2018 Secondary 4 (Grade 10) Contest Question 24

SASMO · SASMO 2018 Secondary 4 (Grade 10) Contest

Question 24

Five students are guessing an unknown 5-digit number X. They know that X
consists the following digits: 2, 6, 8, 0 and 4 (each digit appears exactly once).
The table below shows their guesses.
EN THOUSANDS | HUNDREDS | TENS
THOUSANDS digit digit | digit
digit
Student
[el es ee
Student
ale ee oe a ae Se
Student
nel Se eee Se ae
Student
oad eae a ea ee
Student
ee eee
Two students guessed correctly 2 positions and were wrong about 3 positions.
Other 3 students guessed wrongly all 5 positions. Find the value of z

Question illustration