A turtle is crossing a field, how many meters total did he pass?(1) The average speed of the turtle is 2 meters per minute.

(2) Had the turtle walked 1 meter per minute faster than his average speed it would have finished the same path 40 minutes earlier.

\(d=rt\), where \(d\) is the distance covered, \(r\) rate and \(t\) time. Question: \(d=?\)

(1) \(r=2\). Clearly not sufficient.

(2) \((r+1)(t-40)=d\). Clearly not sufficient.

(1)+(2) \(r=2\) and \((r+1)(t-40)=d\) --> \(3(t-40)=d\), \(t=\frac{d+120}{3}\) --> \(d=rt=2\frac{d+120}{3}\) --> \(d=240\). Sufficient.

Answer: C.

If Q and T are integers, what is the value of Q?(1) \(q=\frac{2t}{7}\). --> \(7q=2t\). Not sufficient to calculate the value of \(q\).

(2) \(\frac{t+7}{2}=\frac{7(q+2)}{4}\) --> \(2t+14=7q+14\) --> \(7q=2t\). Same info as above not sufficient.

(1)+(2) Nothing new. Not sufficient.

Answer: E.

Is the square root of A an integer?Question: is \(\sqrt{a}=int\) true? Or is \(int^2=a\) true?

(1) The last digit of A is 8 --> integer raised to the power of two can not end with 8 (it can end only with 0, 1, 4, 5, 6, 9). So \(a\) is not the square of an integer. Sufficient.

(2) A is divisible by 6. If \(a=6\), \(\sqrt{a}\neq{int}\) BUT if \(a=36\), \(\sqrt{a}=\sqrt{36}=6={int}\). Two different answers, not sufficient.

Answer: A.

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