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模考带练机经题
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If x, y, and z are three consecutive odd numbers, is one of x, y, z a multiple of 7?
（1）x + y + z is a multiple of 7
（2）x*y*z is a multiple of 7
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模考带练机经题
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x*$$(x-1)^{2}$$+$$(x-1)^{2}$$=0, what is the value of x ？
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模考带练机经题
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A teacher needs to select 3 boys and 3 girls from 7 boys and 7 girls, how many combinations are there?
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模考带练机经题
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A and B work together for 2 hours to complete $$\frac{2}{3}$$ of the task. The rest of the work was done by B alone, and B finished the rest in 3 hours. If A does it alone, how many hours will it take to complete the whole task?
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模考带练机经题
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If $$k_1$$=200,and $$k_n$$=200+0.2 $$k_{n-1}$$(k ≥ 2) ,the value of $$k_{40}$$ is between?
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模考带练机经题
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A wooden ladder is 13 meters long, and the distance from the bottom of the ladder to the wall is 5 meters, so what is the range of the angle between the ladder and the floor?
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OG21 OG2022
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A dance troupe has a total of 50 dancers split into 2 groups. The costumes worn by Group A cost $80 each, and those worn by Group B cost $90 each. If the total cost of all the costumes is $4,270, what is the total cost of the costumes worn by Group B?
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OG21 OG2022
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m⊕p = n
n⊕r =m
n⊕q = q
p⊕q = p
q⊕p = r
If the relations shown hold for the operation ⊕ and the numbers m, n, p, q, and r, then [(m ⊕ p) ⊕q] ⊕ p =
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OG21 OG2022
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To rent a tractor, it costs a total of x dollars for the first 24 hours, plus y dollars per hour for each hour in excess of 24 hours. Which of the following represents the cost, in dollars, to rent a tractor for 36 hours?
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OG21 OG2022
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If z≠o and z + $$\frac{1-2z^{2}}{z}$$=$$\frac{w}{z}$$，then ω=
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OG21 OG2022
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For all real numbers a, b, c, d, e，and f，the operation θ is defined by the equation （a, b, c） θ （d, e，f） = ad + be + cf. What is the value of (1,-2, 3)θ(1,-$$\frac{1}{2}$$, $$\frac{1}{3}$$)?
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OG21 OG2022
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Last year a state senate consisting of only Republican and Democrat members had 20 more Republican members than Democrat members. This year the senate has the same number of members as last year, but it has 2 fewer Republican members than last year. If this year the number of Republican members is $$\frac{2}{3}$$ the number of senate members, how many members does the senate have this year?
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OG21 OG2022
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In a certain high school, 80 percent of the seniors are taking calculus, and 60 percent of the seniors who are taking calculus are also taking physics. If 10 percent of the seniors are taking neither calculus nor physics, what percent of the seniors are taking physics?
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OG21 OG2022
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Results of a Poll
In a poll, 200 subscribers to Financial Magazine X indicated which of five specific companies they own stock in. The results are shown in the table above. If 15 of the 200 own stock in both IBM and AT&T how many of those polled own stock in neither company?
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OG21 OG2022
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One inch represents 20 miles on Map K and one inch represents 30 miles on Map L. An area of 3 square inches represents how many more square miles on Map L than on Map K?
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OG21 OG2022
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Last year Brand X shoes were sold by dealers in 403 different regions worldwide, with an average （arithmetic mean） of 98 dealers per region. If last year these dealers sold an average of 2,488 pairs of Brand X shoes per dealer, which of the following is closest to the total number of pairs of Brand X shoes sold last year by the dealers worldwide?
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OG21 OG2022
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The outer dimensions of a closed rectangular cardboard box are 8 centimeters by 10 centimeters by 12 centimeters, and the six sides of the box are uniformly $$\frac{1}{2}$$ centimeter thick. A closed canister in the shape of a right circular cylinder is to be placed inside the box so that it stands upright when the box rests on one of its sides. Of all such canisters that would fit, what is the outer radius, in centimeters, of the canister that occupies the maximum volume?
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OG21 OG2022
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In the figure above, ABCD is a parallelogram and E is the midpoint of side AD. The area of triangular region ABE is what fraction of the area of quadrilateral region BCDE?
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PREP07 Test 2
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A group of paleontologists recently announced that a site in Utah has yielded fossils of some of the biggest armored dinosaurs ever found, and that they were at least 25 million years older than any similar dinosaur type previously found in North America.
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PREP07 Test 2
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Strawberries, unlike picking bananas that are green and can be ripened artificially, must be picked when they are fully ripe, and they remain at peak flavor for only four or five days after that.
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