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300难题
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If b is the product of three consecutive positive integers c, c + 1, and c + 2, is b a multiple of 24?
1.b is a multiple of 8.
2.c is odd.
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300难题
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If s is an integer, is 24 a divisor of s ?
1.Each of the numbers 3 and 8 is a divisor of s.
2.Each of the numbers 4 and 6 is a divisor of s.
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OG21 OG20 OG2022
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There are 2 groups of students who took a history test. Was the average (arithmetic mean) score of the students in Group A higher than the average score of the students in Group B who took the test?
(1) Of the students who took the test, 10 were in Group A and 12 were in Group B.
(2) On the test, the highest score achieved was achieved by a Group B student and the lowest score achieved was achieved by a Group A student.
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OG21 OG2022
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If all of the six faces of a concrete block are rectangular, what is the volume of the block?
(1) Each of the four lateral faces of the block has an area of 200 square inches.
(2) The top of the block is square and has an area of 400 square inches.
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OG21 OG2022
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In the figure shown,is $$\ell1$$ || $$\ell2$$?
(1) r=s
(2) t=u
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OG21 OG2022
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What is the volume of the right circular cylinder X?
(1) The height of X is 20.
(2) The base of X has area 25π.
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模考带练机经题
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According to the picture, a square whose width is x is inscribed in a circle. What is the area of the shaded part?
(1)shaded area =(π-2)x
(2)square area is 8x
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模考带练机经题
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The probability of getting head once and the probability of getting tail once are not the same when a coin is tossed once. If there are no other results of tossing a coin, what's the probability of getting both heads when the coin is tossed twice?
(1) the probability of getting head once is twice the probability of getting tail once.
(2) the probability of two tosses with one head and one tail is 4/9
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模考带练机经题
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Is $$\frac{m}{n}$$ < $$\frac{n}{m}$$?
(1)mn > 0
(2)m < n
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190124
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x and y are two integers between 2-20 (Both boundaries are included.). Do x and y have the same prime factor?
1:x=y+1
2:y is odd.
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190124 还原机经选题: 文字题&几何
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The center of circle O is the coordinate origin. The radius of the circle is 50.p($$x_p$$,$$y_p$$) and Q(50,0) are all on the circle. What is the distance of PQ?
1:$$x_p$$=-30
2:$$y_p$$=-40
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190124
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Does the equation have at least one solution?
1:a > 0
2:c < 0
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190124
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p,s,t are prime numbers. $$p^{3}s^{3}t^{3}$$=?
1:$$p^{3}st$$=728
2:t=13
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190124
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Is n a factor of 30?
1: 30 can be divided by 2n.
2: 30 can be divided by $$n^{2}$$.
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190124
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A cuboid was filled with 10 liters of water. What's the height of the water?
1: The height of the cuboid is 5 m.
2: The box is a cube.
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190124
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A company investigated whether 500 people agree with events A and B. What were the numbers of people who only agree with A, only agree with B, and agree with A and B, respectively?
1: There were 300 people who agree with A.
2: 80 people agreed on both events.
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190124 还原机经选题: 文字题&几何
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In rectangular ABCD, ab = 10, BC = 6. What is the area of the blank area?
1:l=0.8
2:∠d=45°
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190124
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Line AC and line BC are tangent to circle O at A and B respectively. What is the radius of the circle O?
1:∠C=60°
2:AC=10
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190124
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Half of the seats in a theater belong to zone A, 1/4 to zone B, and 1/4 to zone C. The price of each ticket in zone A and zone C is 80% and 140% of that in zone B, respectively. What's the average fare for this theater?
1: The price of each ticket in zone B is $25.
2: There are 400 seats in the theatre.
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190124 还原机经选题: 文字题&几何
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The length of two adjacent sides of a quadrilateral is 30 and 40. Is the quadrilateral a rectangle?
1: The angle between the two sides is 90 °
2: The length of each diagonal of a quadrilateral is 50
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