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PREP07 Test 2
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If $$x + y \neq0$$, what is the value of $$(ax+ay)\over(x+y)$$?(1) x = 4 and y = 5.(2) a = 6
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PREP07 Test 2
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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 divided by 7, the remainder is 6.(2) When $$t^2$$ is divided by 7, the remainder is 1.
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PREP07 Test 2
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Each of the numbers w, x, y, and z is equal to either 0 or 1. What is the value of w + x + y + z ?(1) $$\frac{w}{2} + \frac{x}{4} + \frac{y}{8} + \frac{z}{16} = \frac{11}{16}$$(2) $$\frac{w}{3} + \frac{x}{9} + \frac{y}{27} + \frac{z}{81} = \frac{31}{81}$$
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PREP07 Test 2
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In a certain election, 240 men and 280 women voted for the winning candidate. What was the total number of men and
women who voted in the election?(1) The number of women who voted was 7/8 the number of men who voted.(2) Of the men and women who voted, 30 percent of the men and 40 percent of the women voted for the winning
candidate.
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PREP07 Test 2
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What is the value of $$v^3 - k^3$$ ?(1) vk > 0(2) v - k = 6
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PREP07 Test 2
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Is $$x^4+y^4>z^4$$ ?(1) $$x^2+y^2>z^2$$(2) x + y > z
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PREP07 Test 2
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If w, x, y, and z are integers such that w/x and y/z are integers, is w/x + y/z odd?(1) wx + yz is odd.(2) wz + xy is odd.
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PREP07 Test 2
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For a certain play performance, adults' tickets were sold for $12 each and children's tickets were sold for $8 each. How many children's tickets were sold for the performance?(1) The total revenue from the sale of adults' and children's tickets for the performance was $5,040.(2) The number of adults' tickets sold for the performance was $$\frac{1}{3}$$ the total number of adults' and children's tickets sold for the performance.
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Manhattan
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If$$ xy \neq 0$$, what is the ratio of y to x?(1) y = 3x(2) x = 11
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Manhattan
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If z is an integer, is z even?(1) $$\frac{z}{2}$$ is even.(2) 3z is even.
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Manhattan
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At what point does the line ax + y + b = 0 intersect the y-axis?(1) b = 5(2) a = 3
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Manhattan
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At a certain school, 100 students are in the marching band. If 40% of the students in the orchestra are also in the marching band, how many students are members of neither the orchestra nor the marching band? (1) There are 1000 students in the school. (2) 50 students are in the orchestra.
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Manhattan
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If Nicole worked 20% more this week than she worked last week, how many hours did she work last week? (1) Nicole worked 36 hours this week. (2) Nicole worked 6 more hours this week than she worked last week.
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Manhattan
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How long did Justin spend driving from Town A to Town B to Town C? (1) The total distance that Justin drove was 200 miles. (2) Justin's average rate for the 100 miles from Town B to Town C was 50 miles per hour.
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Manhattan
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Of the 32 houses on John Street, 10 are big houses and the rest are little. How many of the little houses on John Street are pink?(1) All of the houses on John Street are either pink or blue. (2) There are 14 pink houses on John Street.
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Manhattan
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Is pq > 0?(1) p < 0(2) q < 0
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Manhattan
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A tire store offered customers a 25 percent rebate on all tires purchased during a certain weekend. Assuming all customers who purchased tires received rebates, what is the total amount that the tire manufacturer paid out in rebates? (1) On Saturday, the store had $900 in tire sales, and total tire sales doubled on Sunday. (2) For the entire weekend, the store had a total of $2,700 in tire sales.
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Manhattan
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What is 20% of 3x? (1) 40% of 6x equals 12(2) 20x = 15x + 25
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Manhattan
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On Sunday morning, a printing press printed its newspapers at a constant rate from 1:00 AM to 4:00 AM. How many newspapers did the printing press print on Sunday morning? (1) The printing rate on Saturday morning was twice that of Sunday morning. (2) On Saturday morning, the printing press ran at a constant rate from 1:00 AM to 3:00 AM, stopped for a half hour, and then ran at the same constant rate from 3:30 AM to 5:30 AM, printing a total of 4,000 newspapers.
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Manhattan
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A cake recipe uses a constant ratio of 2 teaspoons vanilla extract to 1 ounce chocolate. If the original recipe, which serves four people, is altered proportionally to yield a cake that serves six people, how many ounces of chocolate will be used in the larger cake?(1) The original recipe calls for exactly five teaspoons of vanilla extract.(2) If the original recipe were altered proportionally to yield a cake that serves eight people, ten teaspoons of vanilla extract would be used.
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