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What is the value of $${x}^{2}{y}{z}+{x}{y}^{2}{z}+{x}{y}{z}^{2}$$(1) x+y+z=18(2) xyz=10
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PREP07 Test 1
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The positive integer k has exactly two positive prime factors, 3 and 7. If k has a total of 6 positive factors, including 1 and k, what is the value of k?(1) $${3}^{2}$$ is a factor of k.(2) $${7}^{2}$$ is NOT a factor of k.
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A certain wooded lot contains 56 oak trees. How many pine trees does the lot contain?(1)The ratio of the number of oak trees to the number of pine trees in the lot is 8 to 5.(2)If the number of oak trees were increased by 4 and the number of pine trees remained unchanged, the ratio of the number of oak trees to the number of pine trees in the lot would be 12 to 7.
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If both x and y are nonzero numbers, what is the value of $$\frac{y}{x}$$?(1) x = 6(2) $${y}^{2}={x}^{2}$$
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Is $${x}<{0}$$?(1) $$-2x >0$$(2) $$x^3<0$$
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A sum of $200,000 from a certain estate was divided among a spouse and three children. How much of the estate did the youngest child receive?(1) The spouse received $$\frac{1}{4}$$ of the sum from the estate, and the oldest child received $$\frac{1}{4}$$ of the remainder.(2) Each of the two younger children received $12,500 more than the oldest child and $62,500 less than the spouse.
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PREP07 Test 1
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Is x + y negative?(1)x is negative.(2)y is positive.
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PREP07 Test 1
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How many of the students in a certain class are taking both a history and a science course?(1) Of all the students in the class, 50 are taking a history course.(2) Of all the students in the class, 70 are taking a science course.
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PREP07 Test 1
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What is the price for a certain meal listed on a menu?(1) The total paid for the meal, sales tax, and gratuity is $10.84.(2) The sales tax on food is 6 percent.
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PREP07 Test 1
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During a sale, for each shirt that Mark purchased at the regular price, he also purchased a shirt at half the regular price. How many shirts did Mark purchase during the sale?(1)The regular price of each of the shirts that Mark purchased during the sale was $21.50.(2)The total of the prices for all the shirts that Mark purchased during the sale was $129.00.
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PREP07 Test 1
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If x is a positive integer, is x < 16 ?(1)x is less than the average (arithmetic mean) of the first ten positive integers.(2)x is the square of an integer.
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What is the value of the integer p ?(1) Each of the integers 2, 3, and 5 is a factor of p.(2) Each of the integers 2, 5, and 7 is a factor of p.
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The only gift certificates that a certain store sold yesterday were worth either $100 each or $10 each. If the store sold a total of 20 gift certificates yesterday, how many gift certificates worth $10 each did the store sell yesterday?(1) The gift certificates sold by the store yesterday were worth a total of between $1,650 and $1,800.(2) Yesterday the store sold more than 15 gift certificates worth $100 each.
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KMFDS
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Is the standard deviation of the set of measurements $${x}_{1}$$, $${x}_{2}$$, $${x}_{3}$$, $${x}_{4}$$,....$${x}_{20}$$ less than 3 ?(1) The variance for the set of measurements is 4.(2) For each measurement, the difference between the mean and that measurement is 2.
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Is the range of the integers 6, 3, y, 4, 5, and x greater than 9?(1) y>3x(2) y > x > 3
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What is the value of w + q ?(1) 3w = 3-3q(2) 5w + 5q = 5
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If Paula drove the distance from her home to her college at an average speed that was greater than 70 kilometers per hour, did it take her less than 3 hours to drive this distance?(1) The distance that Paula drove from her home to her college was greater than 200 kilometers.(2) The distance that Paula drove from her home to her college was less than 205 kilometers.
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If $$\frac{x+y}{z} >{0}$$, is $$x < 0$$?(1)$$ x<{y}$$(2) $$z<0$$
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If m and n are positive integers, is $$\mathbf(\sqrt{m}\mathbf)^{n}$$ an integer?(1)$$\sqrt{m}$$ is an integer.(2)$$\sqrt{n}$$ is an integer.
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If p is the perimeter of rectangle Q, what is the value of p ?(1) Each diagonal of rectangle Q has length 10.(2) The area of rectangle Q is 48.
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