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190113
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What is the average of x,y,z?
(1)2x-y+z=6
(2)x+4y+2z=9
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190113
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$A is divided equally among all departments of three companies and each company has five departments. How much does each department get?
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190113 还原机经选题: 文字题&几何
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There are 40 cards in a box. Each card represents an integer. How many of the cards with odd integer?
(1) The probability that a card with an even integer is selected randomly is 5/8
(2) When two cars are taken out randomly, the probability that the two numbers on the cards are both even is 2/13.
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190113 还原机经选题: 文字题&几何
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According to the picture, the area of this shaded sector is A, and its corresponding central angle is θ. What is the circumference of this circle, in terms of A and θ?
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190113
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$$n^{x}p^{y}r^{z}$$ < 100. If n, p, r, x, y, and z are positive integers. Are n, p, and r prime numbers?
(1)x+y+z=5
(2)npr=30
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190113
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Due to bad weather, it took 45 minutes longer for Coco to drive 300 miles than usual. Her driving speed was 20 miles/h slower than usual. What is her normal driving speed when the weather is mild?
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190113
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The equation $$x^{2}$$+(m+4)x- $$(n+2)^{4}$$ has only one solution. mn=？
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190113 还原机经选题: 数论&代数
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5A3 and 8B6 are all three-digit integers. The sum of these two numbers can be divided by 9. What is the possible maximum value of A + B?
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190113 还原机经选题: 文字题&几何
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According to the picture, O is the center of the circle, and AC=BO=r. Which of the option describe the relationship between y and x?
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190113 还原机经选题: 文字题&几何
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There are 64 identical cubes with side of 1. Only one face of each cube is painted. These 64 cubes will be put together into a big cube. What's the maximum proportion of painted sides on the surface of this big cube?
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190113 还原机经选题: 文字题&几何
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The coordinates of the center of a circle are (10, 6). The radius of the circle is 7. Is point (a, b) in the circle?
(1)5 < a < 13
(2)1 < b < 10
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190113 还原机经选题: 文字题&几何
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Each number in a sequence comes from {10,20,30}. What's the average of this sequence?
(1) 60% of the numbers in this sequence is no more than 20
(2) 80% of the numbers in the sequence is no less than 20
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190113
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Tom, Mary and Bob take the balls randomly in two boxes with no replacement. There are 3 red and 10 white balls in the box A. There are 2 red and 8 white balls in box B. Each of Tom, and Mary takes one ball from one of the boxes before Bob, and do not put balls back. What information is helpful for Bob to determine which box has a high probability of getting red?
(1)Tom takes a red ball in box A, and Mary takes a ball.
(2) Mary takes a red ball in box B, and Tom takes a ball.
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190113
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The school offers three different kinds of scholarships, $95000/person, $35000/person and $10000/person. The school awards a total of $940000 in scholarships. What is the minimum number of scholarship recipients?
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190321
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$$\frac{5!+6!+7!}{6!+7!+8!}$$ = ?
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190415
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What is the sum of the interior angles of a heptagon?
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190321
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The quadrilateral ABCD is a trapezoid. AD//BC, ADC=BCD=90°. AD=9, BC=5, CD=12. AB+BD+AC=?
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190415 还原机经选题: 数论&代数
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X is formed by inserting two plus signs in 1,2,3,4,5. For example, X=12+34+5=51. Is X odd?
1: X > 100
2: There's a plus sign between 1 and 2.
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190321
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There are 12 candies with four colors in an opaque bag. The proportion of red candy, yellow candy, white candy and green candy is 1/3,1/2,1/12,1/12, respectively. If two candies are taken out, what's the probability of picking at least one white candy out of this bag?
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190321
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105m/s=?km/h
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