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190215
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x > 0.y,z < 0.$$(|x|+|y|+|z|)^{2}$$=?
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191020
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How many diagonals of a regular nonagon?
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191020
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What is the value of 1+2+3+4+5+6……+99+100 ？
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191020
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Is√ab an integer?
1: √a is not an integer
2: √b is not an integer
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191020
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It is given that：y = x^2+ bx+ 4, which of the following values about “b” can make that equation have no intersection point with x-axis?
I. -2
II. 0
III. 4
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191020
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As shown in the figure, There is a table, in which the middle area is a rectangle with length of 100 inches and 75 inches in width. What is the value of approximate side length of the table?
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191020
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There is an initial capital of $ 10,000 used for investment, of which x $ are invested for project with return rate of 3%, ($ 10000-x) for project with return rate of 7%, finally the total interest is 480. What is the value of x?
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191020 还原机经选题: 数论&代数
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If abc, bca, and cab are three-digits positive integers, what is the smallest prime factor of the sum of these three-digits positive integers?
1：a+b=c
2：c=2
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191020
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p and q are different prime numbers. How many factors does A=paqb have?
1: a = 2, b = 3
2: p = 5, q = 7
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191020
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If two lines are parallel, what is the value of x?
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191020
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Susan drove 30 miles for the whole trip. It takes her car 15miles per gallon for the first 10 miles, and 45 miles per gallon for the remaining trip. What is the total oil consumption?
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191020
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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) numbers can be achieved if n ($$n \geq 2$$) numbers are taken out from the set S?
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191020
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A building has x floors. The top floor has only one room. The number of rooms per floor below is twice that of the floor above it. What is the number of rooms on the bottom floor?
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191020
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What is the number of factors of positive integer x?
(1)18 is the second largest factor of x
(2)$$x = 6^n$$
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191020
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There are seven men and seven women. How many combinations for three men and three women?
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191020
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The salary of Tom consists of base salary and commission.
Base salary = The work time*8.5dollars/hour, and commission is 2% of the part which exceeds the amount of sales C. What is the value of C?
(1)If Tom works 25 hours, he will get 250 dollars
(2)If Tom works 28 hours, he will get 280 dollars
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191020
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The result of $$1010101^2 - 1010100^2 $$ is a 7-digit number. What is the sum of all the digits of this 7-digit number?
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191020
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What's the value of $$\left( 900 ^ { 900 } + 30 ^ { 1800 } \right) ^ { 2 } $$?
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191020
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A company sells 10,000 commodities a month and each commodity is sold for 50 yuan. The fixed cost of these commodities is 300,000 yuan. The variable cost is 10 yuan per commodity. How much more proportion of commodities does the company sell can make a double profit?
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190215
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In the right triangle ABC, ∠ABC=30°. AC is perpendicular to BC. AC=28. BC=?
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