## If $$t$$ is a positive integer and $$r$$ is the remainder when $$t^2 + 5t + 6$$ is divided by $$7,$$ what is the value

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### If $$t$$ is a positive integer and $$r$$ is the remainder when $$t^2 + 5t + 6$$ is divided by $$7,$$ what is the value

by Gmat_mission » Tue Mar 23, 2021 8:17 am

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If $$t$$ is a positive integer and $$r$$ is the remainder when $$t^2 + 5t + 6$$ is divided by $$7,$$ what is the value of $$r?$$

(1) When $$t$$ is divided by $$7,$$ the remainder is $$6.$$
(2) When $$t^2$$ is divided by $$7,$$ the remainder is $$1.$$