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190321
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What is the length and width of a rectangle?
1: The perimeter of the rectangle is 124.
2: The diagonal length of the rectangle is 50.
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190321
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(k-1)x=5.Is x>1.25?'
1:k is a positive integer.
2:k>5
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190321
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One fruit store sold 140 apples in five days, at least 15 apples in a day. How many apples can this fruit store sell at most in a day?
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190321
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It takes 4 hours for three machines A,B and C to produce 10,000 masks. It takes machine A 10h to produce 10,000 masks alone. It takes machine B 8h to produce 10,000 masks alone. If C works alone, how long will it take to produce 10,000 masks?
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190321
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The units digit of $$(x+1)^3$$ and $$(x+3)^3$$ are 1. What's the units digit number of $$(x-3)^3$$?
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190321
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S={0.1,0.01,0.001,0.0001,0.00001}. How many different results of the sum of n ($$n \geq 2$$) numbers can be achieved if the number are taken out from the set S?
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190321
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If $10,000 are deposited in the bank, then after one year, the sum of principal and interest is $1,0004. If someone deposits $25,450 in the bank, with the same interest rate, how much interest will that person get in a year?
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190321
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The equation of line $$l_1$$ is ax+by+c=0. Line $$l_2$$ is perpendicular to line $$l_1$$. The line $$l_2$$goes through the point (2c,0). Which of the following is the equation of line $$l_2$$?
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190321
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$$y = \frac{1}{x^2+1}$$. What is the range?
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190321
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When the price of the commodity is $44, the profit is 10% of the cost. When the price of the commodity is $46, how many times is the profit as many as the cost?
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190321
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The set S is made up of continuous positive integers. Is the number of integers in S greater than 6?
1: There are two numbers in S that are multiples of 5.
2: There are two numbers in S that are multiples of 3.
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190321
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Is $$(x-y)(x+3)(x-3) \geq 0$$？
1:x>y
2:x>3
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190321
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x> 0, y < 0, z< 0.$$(|x|+|y|+|z|)^2$$=?
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190321
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Is n an even number?
1: The least common multiple of n and 300 is 900.
2: The greatest common divisor of n and 300 is 150.
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190321
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$$y = 10^n +5^(x+2n)$$. n and x are positive integers. What`s the reminder of y when divided by 6?
1: x=3
2: n=4
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190415
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How many more diagonals are there in an octagon than in a heptagon?
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190415
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Is the convex quadrilateral a square?
1: The lengths of two diagonals are the same.
2: Two diagonals are perpendicular to each other.
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190415 还原机经选题: 数论&代数
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s,r,t are integers. Is $$\frac{t}{s^{2}}$$ an integer?
1: $$\frac{t}{sr}$$ is an integer.
2: $$\frac{r}{s}$$ is an integer.
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190321
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The price of one item after discount is $60, which is 75% of the original price. What is the original price of the item?
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190321
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A ball is placed in a cubic box. How many times the volume of the cube is that of the ball?
1: The ball is tangent to the six faces of the cube.
2: The radius of the ball is 10.
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