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190302
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x,y,z are positive integers. x+y+z=?
1：xyz=251
2：x-y-z=0
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191031
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There are n different books in a shelf. What is the value of n?
(1)There are only two books of mathematics, and if these two different mathematics books are adjacent, the arrangements of these n books are 240.
(2)If two books are selected randomly from the shelf, there are 15 different combinations.
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191031
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A and B are 5miles apart, C and D are 7miles apart. The average speed of a car passing through AB is X miles/h, and the average speed of passing through CD is Y miles/h. Does it take more hours for the car to pass through AB than to pass through CD?
(1)y = x+20
(2)y<2x
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191031
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There are two kinds of pencils, one kind of pencil is 30 cents each, and the other kind of pencil is 24 cents each. How many pencils of 30 cents are bought?
(1). Two kinds of pencils cost 102 cents in total
(2). The number of pencils priced at 30 cents is five times the number of pencils at 24 cents
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191031
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What is the area of a right triangle?
(1). The perimeter of the triangle is 20cm
(2). The shortest side of the triangle is 5cm
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191031
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n is an integer greater than 1, and T is the set of multiples of all integers n, such as T = {n, 2n, 3n ...}. What's the value of n?
(1). 7 belongs to T
(2). 49 belongs to T
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191020
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P and q are two prime numbers, how many factors does pqⁿ have?
(1)p = 3, q=7
(2)n = 2
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191020
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p,q are both integers, what is the value of p-q/p+q?
(1). p/q = 11/9
(2). p^2-q^2/(p-q)^2 = 10
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191020
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A person's sales volume is within 10 orders, his salary is 300 yuan; sales volume is 10-20 orders, his salary is 200 + sales volume*10; sales volume is greater than or equal to 20 orders, his salary is 300 + sales Volume*20. How much did he sell last month?
(1). This person's salary this month is 10 yuan more than last month
(2). This person has 2 more orders this month than last month
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191020
|
Is n odd?
(1)5n is divisible by 7
(2)3n is divisible by 5
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190215
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In the rectangular coordinate system, the center of a circle is the origin and the radius is r. The center of the other circle is (1,1) with a radius of R. Is the distance between the centers of two circles r + R?
1:$$r^{2}$$+$$R^{2}$$-=2(1-rR)
2:$$R^{2}$$-$$r^{2}$$=2r
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190215
|
Someone wants to buy n apples. She has two plans. The first option is to buy a basket of apples for $6. The second option is to buy one by one, and the price of each apple is $0.32. Is the first plan more cost-effective than the second?
1: n less than 20
2: n + 4 apples can be bought with $7.04 in the second way.
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190215
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Is 4 a factor of 4?
1: x-y is even.
2: x+y is even.
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191031
|
There are 5 green balls and 5 white balls in the box, numbered 1.2.3.4.5. Now a white ball and a green ball are taken away. What is the number on the green ball taken?
1: If one ball is selected from the remaining balls, the probability of selecting an even green ball is 1/8.
2: If one ball is selected from the remaining balls, and the probability of taking “4” is 1/4.
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190207
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h(x)=x-$$x^{2}$$. Is h(a) > h(b)?
1：a < b
2：$$a^{2}$$ > $$b^{2}$$
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190207
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Is x < y ?
1：x > 0
2：$$x^{2}$$ < xy
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190215
|
The formula of a straight line in the plane rectangular coordinate system is y = 2x-2. The center of circle O is on this line. The circle and line intersect at P and Q. What is the area of the circle?
1: Center coordinates (5, 8)
2: The difference between the abscissa of P and Q is 2
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191020
|
Is x-y>0 ？
1：y<0
2：2x-y>0
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191020
|
If x is a prime number, what is the remainder when x is divided by 8?
(1)The remainder is 1 when x is divided by 2
(2)The remainder is 2 when x is divided by 3
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191020
|
A circle is inscribed with a square, and the side of the square is x. What is the area of the shadow?
(1)The area of the shadow is (π-2)x
(2)The area of the square is 64
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