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第一期
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It took a total of 5 hours for S to drive from station x to station y. How long does it take for him to go for the first 200 miles?
(1)The average speed of the first three hours of S is 80miles/h
(2)The average speed of the last two hours of S is 90miles/h
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190603
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The three heights of a triangle are M, H, and K. Is the perimeter of this triangle greater than 6?
(1)M>2
(2)K+H>4
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190603
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K equals to 1 plus the product of all prime numbers from 2 to 29, inclusive, which of the following statement about k is true?
I. k can be divisible by prime numbers within 2-29
II. k is divisible by 30
III. k can be divisible by a prime number greater than 29
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190113 还原机经选题: 数论&代数
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1, 11, 111, 1111, 11111, …
What are the tens of the sum of the first 40 items in this series?
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190113 还原机经选题: 文字题&几何
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Mary has crayons in three colors. She fills four areas A, B, C, and D with her crayons, and an area can be painted with only one of these three colors. If the colors of two adjacent areas cannot be repeated, how many filling methods are there in total?
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190113 还原机经选题: 文字题&几何
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There were 50 students in a school. The school has three courses, A, B, and C. Students can take 0, 1, 2 and 3 courses. The numbers of students that took A, B, and C were 22, 25, and 33, respectively. 11 students took both A and B. 20 students took both B and C, and 19 students took both A and C. 9 students took all three courses. How many students didn't take any course?
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190113
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What is the units digit of the sum of $$5^{5}$$+ $$6^{5}$$+ $$7^{5}$$+ $$8^{5}$$=?
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190113
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Is 3$$x^{2}$$ > x?
1：x ≥ 0
2：|x|<$$\frac{1}{3}$$
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190113
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$$(\frac{3\sqrt{32}-4\sqrt{2}}{\sqrt{8}})^{2}$$=?
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190113
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If uv > 0, is ($$u^{2}$$) ($$v^{3}$$) >0？
(1)u > 0
(2)v > 0
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190113 还原机经选题: 数论&代数
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X is a set that composed of consecutive integers. How many numbers are there in X?
(1)There are 71 numbers that can be divided by 3 in X.
(2)There are 106 even integers in X.
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190603
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The purchase price of each car is 80w and the selling price is 120w in a company. One person sells 2 cars, and the commission for each car is 1% of the selling price. The other person sells 3 cars, and the commission for each car is 2% of the selling price. What is the profit of the company after the commission is removed?
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190113
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30% of Mary's monthly salary was used to pay the rent. Her salary was $2500 every month. How much money did she have after paying the rent in a month?
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190113
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$$\frac{2}{n(n+1)(n+2)}$$=$$\frac{1}{n(n+1)}$$-$$\frac{1}{(n+1)(n+2)}$$.$$\frac{(2)(29)}{(5)(6)(7)}$$+$$\frac{(2)(29)}{(6)(7)(8)}$$+...+$$\frac{(2)(29)}{(28)(29)(30)}$$=?
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190113
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According to the picture, AB=BC. O is the center of the circle, and A, B, C, and D are all on the circle. EF is tangent to the circle O at point B. ∠ABE=？
(1)The point O lies on the line AC.
(2)∠CAD=24°
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190113
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If x, and y are positive integers, is even?
(1)x=3
(2)y=2
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190113
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If m, and n are positive integers, is $$\frac{m!}{n!}$$ > $$n^{3}$$?
(1)m-n ≥ 3
(2)m=3n
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190113
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When positive integer is divided by 4, is the remainder 1?
(1)The remainder is 1, when $$p^{2}$$ is divided by 4.
(2)The remainder is 1 when P is divided by 2.
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190113
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If x, y, and z are positive integers, x+y+z=?
(1)xyz=154
(2)x-y-z=2
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190113
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If x, and y are positive even integers, what is the lower limit of the maximum factor of 2$$x^{2}$$+4$$y^{2}$$?
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