A turtle is crossing a field, how many meters total did he : GMAT Data Sufficiency (DS)
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# A turtle is crossing a field, how many meters total did he

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05 Mar 2010, 23:34
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Plzz! solve & explain following questions.

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.

OA
[Reveal] Spoiler:
C

If Q and T are integers, what is the value of Q?
(1) Q = 2T/7.
(2) T+7/2 = 7(Q+2)/4

OA
[Reveal] Spoiler:
E

Is the square root of A an integer?
(1) The last digit of A is 8 .
(2) A is divisible by 6.
OA
[Reveal] Spoiler:
A

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06 Mar 2010, 05:07
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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.

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.

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.

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06 Mar 2010, 05:59
Thanks for the explanation guys!
Really appreciated.
And yea, nitish you are right it's a typo mistake thank you for indicating that.
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Re: DS questions   [#permalink] 06 Mar 2010, 05:59
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