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**Type : **MCQ

Intructions :

**Directions:** This data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. Using your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of the word counterclockwise), decide whether the data given in the statements are sufficient for answering the question.

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 dividd by 7, the remainder is 6.

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