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

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 $1.$

Answer: A

Source: GMAT Prep

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