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Is $${x}^{2}+{y}^{2} >{6}$$?(1)$$({x}+{y})^{2} >{6}$$(2)$$xy = 2$$
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Of the cans of peaches inspected yesterday at a certain plant, 1.5 percent failed to pass inspection. Of the cans that failed inspection, $$\frac5 6$$ were incorrectly labeled and the rest were dented. If all of the cans that were incorrectly labeled or dented failed inspection, how many of the cans of peaches inspected yesterday at the plant were dented?(1)450 of the cans of peaches inspected yesterday at the plant failed to pass inspection.(2)29,550 of the cans of peaches inspected yesterday at the plant passed inspection.
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If n is an integer and $$100 < n <200$$, what is the value of n?(1)$$\frac n {36}$$is an odd integer.(2)$$\frac n {45}$$is an even integer.
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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Material A costs $3 per kilogram, and material B costs $5 per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B, is x > y?(1)y > 4(2)The cost of the 10 kilograms of material K is less than $40.
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If Ann saves x dollars each week and Beth saves y dollars each week, what is the total amount that they save per week?(1)Beth saves $5 more per week than Ann saves per week.(2)It takes Ann 6 weeks to save the same amount that Beth saves in 5 weeks.
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数论
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If x is a positive integer, is the remainder 0 when $${3}^{x}+{1}$$ is divided by 10?(1)$$x = 4n + 2$$, where n is a positive integer.(2)$$x >4$$
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What is the value of the integer n?(1)$$n(n + 2) = 15$$(2)$$({n}+{2})^{n}={125}$$
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Theater M has 25 rows with 27 seats in each row. How many of the seats were occupied during a certain show?(1)During the show, there was an average (arithmetic mean) of 10 unoccupied seats per row for the front 20 rows.(2)During the show, there was an average (arithmetic mean) of 20 unoccupied seats per row for the back 15 rows.
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 The figure above shows two entries, indicated by m and n, in an addition table. What is the value of n + m?(1)d + y = -3(2)e + z = 12
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Is xy + z = z, is |x-y|> 0 ?(1)x = 0(2)y = 0
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Color X ink is created by blending red, blue, green, and yellow inks in the ratio 6 : 5 : 2 : 2. What is the number of liters of green ink that was used to create a certain batch of color X ink?(1)The amount of red ink used to create the batch is 2 liters more than the amount of blue ink used to create the batch.(2)The batch consists of 30 liters of color X ink.
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PREP07 Test 2
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Is the measure of one of the interior angles of quadrilateral ABCD equal to 60 degrees?(1)Two of the interior angles of ABCD are right angles.(2)The degree measure of angle ABC is twice the degree measure of angle BCD.
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$10,000 is deposited in a certain account that pays r percent annual interest compounded annually, the amount D(t), in dollars, that the deposit will grow to in t years is given by $${D}({t})=10,000[1+(\frac r {100})]^{t}$$. What amount will the deposit grow to in 3 years?(1)$$D(1)=11,000$$(2)$$r =10$$
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If a and b are integers, is b even?(1)3a + 4b is even.(2)3a + 5b is even.
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The area of square S is equal to the area of rectangle R. What is the perimeter of square S?(1)The length of one of the sides of rectangle R is twice the length of a side of square S.(2)The area of rectangle R is 36.
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OG18-数学分册
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Stations X and Y are connected by two separate, straight, parallel rail lines that are 250 miles long. Train P and train Q simultaneously left Station X and Station Y, respectively, and each train traveled to the other's point of departure. The two trains passed each other after traveling for 2 hours. When the two trains passed, which train was nearer to its destination?(1)At the time when the two trains passed, train P had averaged a speed of 70 miles per hour.(2)Train Q averaged a speed of 55 miles per hour for the entire trip.
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What is the value of $${v}^{3}-{k}^{3}$$?(1)$$v k > 0$$(2)$$v - k = 6$$
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PREP07 Test 1
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An attorney charged a fee for estate planning services for a certain estate. The attorney's fee was what percent of the accessed value of the estate?(1)The accessed value of the estate was $1.2 million.(2)The attorney charged $2,400 for the estate planning services.
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Is the sum of the integers x and y a prime number?(1)x is an even prime number.(2)y is a prime number between 10 and 20.
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OG18-数学分册
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A collection of 36 cards consists of 4 sets of 9 cards each. The 9 cards in each set are numbered 1 through 9. If one card has been removed from the collection, what is the number on that card?(1)The units digit of the sum of the numbers on the remaining 35 cards is 6.(2)The sum of the numbers on the remaining 35 cards is 176.
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