190603
|
X is a positive integer and r is a non-negative integer. x can be divisible by 10r and cannot be divided by 10r+1. What is the value of r?
(1) X can be divided exactly by 25, but not by 26
(2) X can be divided exactly by 56, but not by 57
|
190603
|
E, J, R and V take an exam and the total score of these four people is 400. What is the relationship between the score of J and the score of R?
(1) E+J=R+V+100
(2) E+R=J+V-80
|
190603
|
The first row has 16 seats, the next row has 2 more seats than the preceding one, and the last row has 64 seats. How many seats are there in total?
|
190603 还原机经选题: 数论&代数
|
As shown in the figure, A splices squares with matches, and 3 matches will be used for each additional square, which will be marked as an S; B uses matches to splice geometric figures on the basis of trapezoids, and 2 matches will be used for each additional geometric figure, which will be marked as a T. A spliced n additional squares, b spliced m additional geometric figures. What is the value of m?
(1)n = m
(2)Two people have used the same number of matches
|
190603
|
Someone will pass four traffic lights of ABCD while driving to work, and the probability of stopping at the ABCD traffic lights is 50%, 40%, 30%, 30%, respectively. What is the probability that this person will only stop at BC traffic lights today?
|
190603
|
The number of a bacteria triples every 30 minutes, how many times the number of the bacteria after 4 hours is the number of bacteria after 2 hours?
|
190603
|
A company often needs to send employees on business trips, every time 10 employees are sent. This company intends to spend 3,000,000 yuan to buy a 10-seat private jet. The cost of this plane is 6,000 yuan per take-off. If the company don`t t buy a plane, the company`s staff will spend 1,000 yuan per flight. How many times will the plane fly to make it more cost-effective to buy a private jet?
|
190603
|
A set S consists of consecutive integers. How many even numbers are included in the set S?
(1). Set S has 34 odd numbers
(2). Set S has 68 even numbers
|
190603
|
1/(1-√1/2)=?
|
190603
|
DS: x> 1, is x / 3 an integer?
(1). 72 / x is an integer
(2). 81 / x is an integer
|
190603
|
Given that ∠BAC is a right angle, AB = 15, AC = 20, AD is the height on the BC side. What is the value of AD?
|
190603
|
Type [1,229] on the keyboard. How many times is 9 pressed?
|
190603
|
450 people are divided into several groups, and the number of people in each group is the same. If three groups are added, the number of people in each group will be reduced by five. How many groups were originally divided?
|
190603
|
As shown in the figure, the rectangle inside is a grassland, the outside is a runway, there are four quarter arcs, and the radius is d, what is the area of the runway?
(1)The area of the grassland is 15d
(2)The area of the grassland is 150
|
190603
|
In the following figure, the coordinates of the points in the rectangle are expressed as (x, y). So what is the probability that x+y is less than or equal to 4?
|
190603
|
As shown in the figure, ABE and CDE are isosceles triangles, BC and AD are parallel, and the sum of the perimeter of ABE and CDE is 32. What is the range of AB length?
|
190603
|
Two machines X and Y, each working at constant efficiency. Machine X: produce 5000 parts in 6 hours, Machine Y: produce 5000 parts in 2 hours. If X and Y work together to produce a batch of products, what is the proportion of production of X?
|
190603
|
In the coordinate system, for a quadrilateral, the coordinates of four vertices are (1,0), (3,0), (3,1), (1,1) respectively. There is a straight line passing through the point (0,0) and divide the quadrilateral area into two equal parts. What is the slope of this straight line?
|
190603
|
As shown in the figure, the four sides of the rhombus are all equal to 52, the diagonal are perpendicular to each other, and the shorter one is 40 in length. What is the shadow area?
|
190603
|
|x|+|y|≤1,x²+y²=1,How many points satisfy these two conditions at the same time?
|