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PREP07 Test 2
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If v and w are different integers, does v=0?(1)$${v}{w}={v}^{2}$$(2)$$w=2$$
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OG12 OG15
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Is $${5}^{k}$$ less than 1,000 ?(1)$${5}^{k+1} >3,000$$(2)$${5}^{k-1}={5}^{k}-500$$
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PREP07 Test 1
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If the integer n is greater than 1, is n equal to 2?(1)n has exactly two positive factors.(2)The difference of any two distinct positive factors of n is odd.
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OG12 OG15 OG16
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If $$x < 0$$, is $$y > 0$$ ?(1)$$\frac{x}{y}<{0}$$(2)$$y-x >0$$
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What is the value of $${a}^{4}-{b}^{4}$$?(1)$${a}^{2}-{b}^{2}= 16$$(2)$$a+b=8$$
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OG12 OG15 OG16
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If x is an integer, is $${9}^{x}+{9}^{-x}=b$$ ?(1)$${3}^{x}+{3}^{-x}=\sqrt{b+2}$$(2)$$x > 0$$
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OG12 OG15 OG16
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If n is a positive integer, is$${(\frac{1}{10})}^{n}<0.01$$(1)$$n >2$$(2)$$(\frac{1}{10})^{n-1}<0.1$$
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OG12 OG15 OG16 OG17 OG18
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What is the tens digit of positive integer x ?(1)x divided by 100 has a remainder of 30.(2)x divided by 110 has a remainder of 30.
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If x and yare positive, is the ratio of xto y greater than 3?(1)x is 2 more than 3 times y.(2)The ratio of 2x to 3y is greater than 2.
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Does the integer k have a factor p such that 1 < p < k?(1)k>4!(2)$$13! + 2 \le k \le 13! + 13$$
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Is x negative?(1)$${x}^{3}(1-{x}^{2})<{0}$$(2)$${x}^{2}-1<{0}$$
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OG12 OG15
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Marcia's bucket can hold a maximum of how many liters of water?(1)The bucket currently contains 9 liters of water.(2)If 3 liters of water are added to the bucket when it is half full of water, the amount of water in thebucket will increase by $$\frac1 3$$
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OG12
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The charge for a telephone call between City R and City S is $0.42 for each of the first 3 minutes and $0.18 for each additional minute. A certain call between these two cities lasted for x minutes, where x is an integer. How many minutes long was the call?(1)The charge for the first 3 minutes of the call was $0.36 less than the charge for the remainder of the call.(2)The total charge for the call was $2.88.
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OG12 OG15
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If Car X followed Car Y across a certain bridge that is $$\frac{1}{2}$$ mile long, how many seconds did it take Car X to travel across the bridge?(1)Car X drove onto the bridge exactly 3 seconds after Car Y drove onto the bridge and drove off the bridge exactly 2 seconds after Car Y drove off the bridge.(2)Car Y traveled across the bridge at a constant speed of 30 miles per hour.
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OG12
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Is the integer P odd?(1)The sum of P, P + 4, and P+ 11 is even.(2)The sum of P - 3, P, and P + 11 is odd.
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OG12
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If sequence S has 200 terms, what is the 192nd term of S?(1)The first term of S is -40.(2)Each term of S after the first term is 3 less than the preceding term.
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OG12
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Jerry bought 7 clothing items, including a coat, and the sum of the prices of these items was $365. If there was no sales tax on any clothing item with a price of less than $100 and a 7 percent sales tax on all other clothing items, what was the total sales tax on the 7 items that Jerry bought?(1)The price of the coat was $125.(2)The average (arithmetic mean) price for the 6 items other than the coat was $40.
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OG12 OG15 OG16 OG17
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The selling price of an article is equal to the cost of the article plus the markup. The markup on a certain television set is what percent of the selling price?(1)The markup on the television set is 25 percent of the cost.(2)The selling price of the television set is $250.
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OG12
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If r is a constant and $${a}_{n}$$ = rn for all positive integers n, for how many values of n is $${a}_{n} < 100$$ ?(1)$${a}_{50} = 500$$(2)$${a}_{100}+{a}_{105} = 2,050$$
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OG12
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If r is represented by the decimal 0.t5, what is the digit t?(1)$$r<\frac{1}{3}$$(2)$$r<\frac{1}{10}$$
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