190310 还原机经选题: 数论&代数
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The number of people in the tour group is counted as x. The ticket rules of the amusement park are: when x≤10, the total ticket price is $120; when 11≤x≤20, the total ticket price is 80 + 4x dollars; when x > 20, the total ticket price is 8x dollars. How many people are there in group B?
1: Group A has three fewer people than group B.
2: Group B pays $4 more than group A.
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190415 还原机经选题
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m,n,k are integers.$$\frac{9}{10}$$ < $$\frac{1}{n}$$+$$\frac{1}{m}$$+$$\frac{1}{k}$$ < 1. Is m+n+k > 11?
1:n=2, m=3
2:k=7
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200301 还原机经选题
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If x and y are all real numbers,is x > 1?
1.x*$$\sqrt{y}$$ >1
2.$$\sqrt{x}$$*y < 1
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190113 还原机经选题
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List multiples of 3 except 0 in a sequence: 369121518... 300. What is the 72nd digit in this sequence?
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190603 还原机经选题: 数论&代数
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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
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191031 还原机经选题: 数论&代数
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If$$ a_1=1$$,$$a_n=-1/[(a_{n-1})+1]$$,then what`s the value of $$a_{2012}$$?
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200301 还原机经选题: 数论&代数
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If s = 1/(1+2+3+4)+1/(1+2+3+4+5)+...+1/(1+2+3+...+98+99), what`s the range of s?
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191222 还原机经选题
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Is x an integer?
1: 5x is an integer
2: The reciprocal of x is an integer
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191222 还原机经选题
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Known that -1 and 3 are the two roots of f (x) = ax ^ 2-bx + c, Is f(1)>0?
(1)f(0)=2
(2)f(-3)>f(-4)
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还原机经选题 191222
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The "ultimate number" can be calculated in this way: add up the values of each digit until there is only one digit left. For example, 9901, 9+9+0+1= 19, 1+9= 10, 1+0=1, 1 is the "ultimate number" of 9901. How many two-digit numbers are there that have the same ultimate number as 50645?
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