AMO 2024 Junior College (Grade 11–12) Question 5

Question 5

A positive integer d is less than 50. Dividing 344 by d leaves remainder 3; dividing 715 by d leaves remainder 2. Which statement is true?

Question illustration

$10\le d\le19$
$0<d\le29$
$0<d\le39$
$40\le d\le49$