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190215
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x,y,z are consecutive positive integers. xyz=858. What is the value of x+y+z=?
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190215
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A plane is 6000m in height from the ground. The angle between the plane and the distant lighthouse with the horizontal plane is 30 °. The height of the lighthouse is ignored. How many kilometers is the distance from the plane to the lighthouse?
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190215
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80% of people in school study physics or mathematics. What is the probability that at least one of the two randomly selected students will neither learn physics nor mathematics?
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190215
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The area of the semicircle in a door is 1/3 of that of the rectangle. What is the ratio of the height of rectangle to the length of semicircle?
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190215
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A person invested in three projects A, B and C equally. After one year, A made 15% profit, B brought him 1% profit and C lost 10%. If this person only invested in project A, how many times is the supposed income compared to the actual income?
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190215
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How many diagonals are there in a nonagon?
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191020
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$$x=a \sqrt{b}$$，$$y=c \sqrt{d}$$，neither x nor y is integer，is $$\sqrt{xy}$$ integer？
(1)$$\sqrt{xy}$$ is an integer
(2) is an integer
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190215
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It is given that:x+y=6t,xy=-7$$t^{2}$$ So what is the value of $$\frac{x^{2}+y^{2}}{t^{2}}$$=?
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190215
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Is $$\sqrt{13m}$$ an integer? m is a natural number.
1: 117m is the square of an integer.
2: $$\frac{m}{117}$$ is the square of an integer.
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190215
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Someone rented a taxi for five days. He drove 900 miles in five days. He drove 200 miles on the first day. How much did he drive the next day?
1: The distance he drove on the first day was 40% of the total of the first three days.
2: The sum of the first three days was equal to the sum of the last three days.
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190215
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[x] represents the minimum number larger than x. [x]-x=?
1：8x=8n+1. n is an integer.
2：8x=16m+1. m is an integer.
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190113
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How many positive factors does 225 have?
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190113
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If is a positive integer, and 16 < $$\frac{(n-1)!n!(n+1)!}{n!}$$ < 17,n=?
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190113
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x, y, and z are consecutive integers. 0 < x < y < z. Is xz even?
(1) xy is even.
(2) xyz is divisible by 4.
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190207
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All the students in one class took at least one course. There were 18, 18 and 20 students taking subjects A, B, and C, respectively. There were 9 people who took A and B courses simultaneously and 9 people took B and C courses. 4 students took three courses at the same time. How many people were there in this class?
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190113
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$$\frac{1}{2+\sqrt{3}}$$=?
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190207
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The solutions of the equation $$x^{2}$$+mx+n=0 are 2 and 1. m-n=?
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190207
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R, Q, S are positive integers greater than 1. Do R and Q have the same prime factor?
1: R and S do not have the same prime factor.
2: S and Q do not have the same prime factor.
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190207
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The angle between a lighthouse and a ship is 30 degrees, and the tower height is 1500m. What's the distance between the lighthouse and the boat?
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190207
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The range of set a is 7, and the range of set B is 12. What is the minimum possible range of the union of AB?
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