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MioMath 2024 Paper 2 · Q15

Paper 2Logic & proof

A car starts from depot and moves repeatedly between 4 stations in the following pattern: 1, 2, 3, 4, 3, 2, 1, 2, 3, … It follows the below statements:

Statement 1: If the car has stopped at Station 1 a total of 10 times, it must have stopped at Station 2 exactly 20 times.

Statement 2: If the car has stopped at Station 3 a total of 10 times, it must have stopped at Station 4 exactly 5 times.

Statement 3: If the car has stopped at Station 2 a total of 10 times, it must have stopped at Station 3 exactly 10 times.

Determine which of the following statements are correct.

AOnly statement 1
BOnly statement 2
COnly statement 3
DStatement 2 and 3
EStatement 1 and 2
FStatement 1 and 3
GAll statements

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