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190113
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What`s the unit number of a positive integer n?
(1)The tens digit of $$11^{n}$$ is 4.
(2)The hundreds digit of $$5^{n}$$ is 6.
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190207
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Is the y-intercept of line l greater than 4?
1: The intercept of line l is equal to that of line y = 2x + 3.
2: The slope of line l is 5
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190215
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The reminder is 1 when n is divided by 4 and the reminder is 2 when n is divided by 3. Which of the following range might n fall into?
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191020
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Cylinder A has a radius of 1 and a height of 4. The other cylinder B has a radius of 1.5. If two cylinders have the same volume, what is the height of B?
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191020
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Is 2n+1 a multiple of 3?
(1)the remainder is 1 when n is divided by 3
(2)the remainder is 4 when n is divided by 6
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191031
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There are 50 people in total, of which 18% have no cell phone, 20% have no computer, and 4% have neither cell phone nor computer. How many people have both a mobile phone and a computer?
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191031
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There are now 1,000 students, whose average grade is 5 and the standard deviation is 1. So how many students have a grade greater than 4. (68% of the distribution lies within 1 standard deviation of the mean.)
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191031
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Tom converts x euros to some dollars. The bank converts his euros to dollars firstly, and then charge 4% commissions. If Tom gets 1830 dollars finally, what is the value of x?
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191031
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There are five numbers: 1 2 4 x 6, what is the value of x?
(1)there is only one mode in this group and it is equal to median
(2)the mean is an integer
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191222
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There is a six-digit integer: 495372. If two numbers are exchanged with each other, is the new number n larger than 495372?
(1)3 is a factor of n
(2)4 is a factor of n
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191222
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P(X)=ax²+bx+c,a≠0,P(-1)=0,P(3)=0. Is P(5)>0?
Condition 1: P(0)=3
Condition 2: P(-4)-P(-3)<0
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200301
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x and y are both greater than 0,what is the value of √x-√y?
(1). √x-√y=2*4√xy
(2). x^2-y^2=2xy
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200301
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If $$a_1$$,$$a_2$$ ,$$a_3$$ -$$a_n$$ is the sequence such that $$a_1=4$$ and $$a_n = a_{n-1}$$ for all positive integer n, what is the value of $$a_t$$ in terms of t ?
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190302
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80 < x < 120. The remainder of x divided by 8 is 4. What is the value of x?
1: x can be divided by 9.
2: x can be divided by 12.
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190321
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$$y = 10^n +5^(x+2n)$$. n and x are positive integers. What`s the reminder of y when divided by 6?
1: x=3
2: n=4
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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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190113 还原机经选题: 文字题&几何
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The equation of a line is dx-by+c=0 (b≠0). What is the slope of the line?
(1)b+d = 10
(2)b/d = 4
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190124 还原机经选题: 文字题&几何
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Two numbers will be chosen from the sequence {1,2,3,5,6,10} and {1,2,3,5,7}, one from each sequence. What`s the probability that the product of the two numbers is not 4?
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181215
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It takes 4 mins for ab to complete 10000 tasks together. It takes 3 minutes for abc to complete the same task together. How long does it take for c to complete the same task alone?
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191031 还原机经选题: 数论&代数
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A straight line y=mx+b, a parabola$$ y=x^2+c$$. are the number of intersections of these two images no less than 1?
(1)b≥c
(2)m^2≥4(c-b)
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