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190415 How many more diagonals are there in an octagon than in a heptagon?
190124 $$\frac{1}{(2n-1)!}$$ - $$\frac{1}{(2n+1)!}$$=$$\frac{an^{2}+bn+c}{(2n+1)!}$$,a+b+c=?
190321 In a rectangular plane coordinate system, the equation of circle O is $$x^2+y^2=10$$. How many points are there on circle O whose abscissa and ordinate are integers?
190310 $$(x^2+bx-1)(x^2-bx+1)=x^4-9x^2+6x-1$$.b>0,b=?
190310 x+2y+3z=5,2x+3y+4z=17,x+y+z=?
190310 The product of three positive numbers,$$2^4$$,x,$$5^3$$ , is a multiple of $$10^4$$. What is the minimum value of x?
200301 If 457*12=N, then 1 is added to which of the five numbers--4,5,7,1,2 such that difference between the new result and N is more than 2000?
190302 The teacher gave 45 candies to the students in one class, and each of them received the same number of candies. The remaining sugar was 3 less than the number of students. Which one of the options can't be the number of students in this class?
191222 还原机经选题: 数论&代数 If 12! is a multiple of $$(4!)^n$$ and not a multiple of $$(4!)^{n+1}$$, what is the value of n ?
191222 There is a set of numbers, in which $$a_0=0$$，$$a_1=1$$，$$a_2=1$$，....，$$a_n=a_{n-1}+a_{n-2}$$，What is the value of $$a_5$$.
191222 KMFPS What is the remainder when $$3^{50}$$ is divided by 4？
191020 |x-2|=2x-10，what is the possible value of x?
191020 If $$\frac { 1 } { ( 2 n - 1 ) ! } - \frac { 1 } { ( 2 n + 1 ) ! } = \frac { a n ^ { 2 } + b n + c } { ( 2 n + 1 ) ! }$$, so a+b+c=?
191020 If x and y are integers, and $$x^2+y^2 = 25$$, xy=12, how many possible values of x+y?
190215 x+$$\frac{1}{x}$$=5.$$\frac{1}{x^{2}}$$+$$x^{2}$$=?
190207 x+3y+5z=0, x+2y+3z=6. x+y+z=?
OG17 OG18 Adiliah, Bao, Davi, Laszlo, Saleema, and Yarah work in a firm's legal department. A supervises B and D, D supervises L, and L supervises S and Y. these are the only supervisory relationships involving these 6 employees. Each document that the department processes must be initially reviewed by exactly 1 department member. Each document reviewed by a department member must then be reviewed by that person's supervisor. No other rules require anyone else to review any document. Anyone not required to review a given document will not review it.Select L among reviewers for the maximum number of the department members that could have reviewed a single document if L was among the reviewers. Select A among reviewers for the maximum number of department members that could have reviewed a single document if A was among the reviewers. Make only two selections, one in each column.
Alvin (President), Brad (Vice President), Chad (Vice President), Dan (senior analyst), Ellinor (analyst), and Farsad (analyst) work at Goldly & Morgman, a corporate firm that works with consultants. The president supervises the vice president, who in turn supervises the senior analyst, who in turn supervises the analysts. There is one exception, which is that Brad does not supervise anyone. These are the only supervisory relationships involving these 6 employees.Each proposal it receives from its consultants must be initially reviewed by exactly one employee. Each proposal reviewed by an employee must then be reviewed by that person's supervisor. No other rules require anyone else to review the proposal. Anyone not required to review a given proposal will not review it.Select Dan among reviewers for the maximum number of employees that could have reviewed a single proposal if Dan were among the reviewers. Select Alvin among reviewers for the maximum number of employees that could have reviewed a single proposal if Alvin were among the reviewers. Make only two selections, one in each column.
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The first shinkansen, or bullet train, which was built in time for the first Tokyo Olympics, reduced from 6 hours and 40 minutes to just 4 hours the required time of traveling from Tokyo to Osaka.
OG15 OG16 OG17 OG18 Is $${4}^{x+y}={8}^{10}$$ ?(1) x-y= 9(2) $$\frac{y}{x}=\frac{1}{4}$$