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If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?
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PREP07 Test 2
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A certain business produced x rakes each month from November through February and shipped $$\frac x 2$$ rakes at the beginning of each month from March through October. The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.10 per rake each month from March through October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months from November through October?
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OG12 OG15 OG16
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If i and j are integers, is i + j an even integer?(1)i < 10(2)i = j
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OG12 OG15
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If n + k = m, what is the value of k ?(1)n = 10(2)m + 10 = n
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What is the value of x?(1)2x + 1 = 0(2)$$({x}+{1})^{2}={x}^{2}$$
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Is x equal to 5?(1)$$x \ge 5$$(2)$$x \le 5$$
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OG12
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What is the value of the two-digit integer x ?(1)The sum of the two digits is 3.(2)x is divisible by 3.
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If $${x}{y}≠{0}$$, is $$\frac x y<0$$ ?(1)x=-y(2)-x = -(-y)
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OG12 OG15
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 What is the value of z in the triangle above?(1)x + y=139(2)y + z = 108
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If x,y, and z are nonzero numbers, is xz = 12?(1)$${x}^{2}yz= 12xy$$(2)$$\frac{z}{4}=\frac{3}{x}$$
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A certain company currently has how many employees?(1)If 3 additional employees are hired by the company and all of the present employees remain, there will be at least 20 employees in the company.(2)If no additional employees are hired by the company and 3 of the present employees resign, there will be fewer than 15 employees in the company.
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What is the value of $$\frac1 x+\frac1 y$$?(1)x+ y= 14(2)xy=24
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OG12 OG15
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If m is an integer, is m odd?(1)$$\frac m 2$$ is not an even integer.(2)m - 3 is an even integer.
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OG12 OG15
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Paula and Sandy were among those people who sold raffle tickets to raise money for Club X. If Paula and Sandy sold a total of 100 of the tickets, how many of the tickets did Paula sell?(1)Sandy sold $$\frac2 3$$ as many of the raffle tickets as Paula did.(2)Sandy sold 8 percent of all the raffle tickets sold for Club X.
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Is ax = 3-bx?(1)x(a + b) = 3(2)a = b = 1.5 and x = 1
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OG12 OG15 OG16
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Is rst = 1 ?(1)rs= 1(2)st= 1
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If a, b, and c are in integers. is a-b+c greater than a + b- c?(1)b is negative.(2)c is positive.
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OG12 OG15
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If a certain animated cartoon consists of a total of 17,280 frames on film, how many minutes will it take to run the cartoon?(1)The cartoon runs without interruption at the rate of 24 frames per second.(2)It takes 6 times as long to run the cartoon as it takes to rewind the film, and it takes a total of 14 minutes to do both.
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OG12 OG15
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 If the successive tick marks shown on the number line above are equally spaced and if x and y are the numbers designating the end points of intervals as shown, what is the value of y ?(1)$$x=\frac1 2$$(2)$$y-x =\frac2 3$$
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OG12 OG15 OG16 OG17
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On a company-sponsored cruise, $$\frac2 3$$ of the passengers were company employees and the remaining passengers were their guests. If $$\frac3 4$$ of the company-employee passengers were managers, what was the number of company-employee passengers who were NOT managers?(1)There were 690 passengers on the cruise.(2)There were 230 passengers who were guests of the company employees.
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