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Prep2007E2-DS-72

Of the 4,800 voters who voted for or against Resolution K, 1800 were Democrats and 3,000 were Republicans. What was the total number of female voters who voted for Resolution K ?

(1) ~$\frac{3}{4}$~ of the Democrats and ~$\frac{2}{3}$~ of the Republicans voted for Resolution K.
(2) ~$\frac{1}{3}$~ of the Democrats who voted for Resolution K and ~$\frac{1}{2}$~ of the Republicans who voted for Resolution K were females.


Prep2007E2-DS-71

What is the greatest integer that is less than t ?

(1) ~$t=\frac{9}{4}$~
(2) ~$t=\left ( \frac{-3}{2} \right )^{2}$~



Prep2007E2-DS-70

If eleven consecutive integers are listed from least to greatest, what is the average (arithmetic mean) of the eleven integers?

(1) The average of the first nine integers is 7.
(2) The average of the last nine integers is 9.


Prep2007E2-DS-69

At the bakery, Lew spent a total of $6.00 for one kind of cupcake and one kind of doughnut. How many doughnuts did he buy?

(1) The price of 2 doughnuts was $0.10 less than the price of 3 cupcakes.
(2) The average (arithmetic mean) price of 1 doughnut and 1 cupcake was $0.35.


Prep2007E2-DS-68

In 1999 Company X's gross profit was what percent of its revenue?

(1) In 1999 Company X's gross profit was ~$\frac{1}{3}$~ of its expenses.

(2) In 1999 Company X's expenses were ~$\frac{3}{4}$~ of its revenue.


Prep2007E2-DS-67

What is the ratio of the number of cups of flour to the number of cups of sugar required in a certain cake recipe?

(1) The number of cups of flour required in the recipe is 250 percent of the number of cups of sugar required in the recipe.
(2) ~$1\frac{1}{2}$~ more cups of flour than cups of sugar are required in the recipe.


Prep2007E2-DS-66

If q is a positive integer less than 17 and r is the remainder when 17 is divided by q, what is the value of r ?

(1) q > 10
(2) q = 2k, where k is a positive integer.



Prep2007E2-DS-65

If ab ≠ 0 and points (-a, b) and (-b, a) are in the same quadrant of the xy-plane, is point (-x, y) in this same quadrant?

(1) xy > 0
(2) ax > 0


Prep2007E2-DS-64

If a < y < z < b, is |y - a| < |y - b| ?

(1) |z - a| < |z - b|
(2) |y - a| < |z - b|


Prep2007E2-DS-63

If m is a positive odd integer, what is the average (arithmetic mean) of a certain set of m integers?

(1) The integers in the set are consecutive multiples of 3.
(2) The median of the set of integers is 33.


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