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If a < x < b and c < y < d, is x < y

Jeff Miller October 31, 2015
GMAT OFFICIAL GUIDE DS Solution: We are given that a < x < b, and that c < y < d. We must determine whether x < y. Statement …
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If x and y are positive, is x < y?

Jeff Miller October 31, 2015
GMAT OFFICIAL GUIDE DS Solution: We are asked is x/y > 1? Since x and y are positive we can multiply both sides of our inequality by y to …
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How many people are directors of both Company…

Jeff Miller October 31, 2015
GMAT OFFICIAL GUIDE DS Solution: We must determine how many individuals are directors for both Company K and Company R. To solve this “overlapping sets” problem, we can employ …
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Robots X, Y, and Z each assemble components at their…

Scott Woodbury-Stewart October 31, 2015
GMAT OFFICIAL GUIDE DS Solution: We are given that r_x = the ratio of robot X’s constant rate to robot Z’s constant rate. If we let A = the …
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What is the tenths digit in the decimal representation…

Jeff Miller October 31, 2015
GMAT OFFICIAL GUIDE DS Solution: We need to determine the value of the tenths place of a particular number. Statement One Alone: The number is less than 1/3. Since …
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The table above shows the distance, in kilometers, by the…

Scott Woodbury-Stewart October 31, 2015
GMAT OFFICIAL GUIDE DS Solution: We are presented with the following table: We need to determine the value of x. From our table we see that the value of …
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In a random sample of 80 adults, how many are college…

Jeff Miller October 31, 2015
GMAT OFFICIAL GUIDE DS Solution: We need to determine the number of college graduates in a sample of 80 adults. Because some of the 80 adults are college graduates, …
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If p1 and p2 are the populations and r1 and r2

Scott Woodbury-Stewart October 31, 2015
GMAT OFFICIAL GUIDE DS Solution: We are given the following: p_1 = population of District 1 p_2 = population of District 2 r_1 = the numbers of representatives of …
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