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190321
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$$k^4$$can be divided by 32. What is the reminder of k when divided by 32?
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190415 还原机经选题: 数论&代数
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12! can be divided by $$(4!)^{n}$$ but cannot be divided by $$(4!)^{n+1}$$ .n=?
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190310
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In the rectangular coordinate system, the length of AB equals to that of AC. A(0,0), B(1,3). If the coordinates of point C are all integers, then C has 8 possible positions. How many different values does BC have?
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190310
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The pulley has three wheels A, B and C. Circle A has a radius of 2. Circle B has a radius of 4. Circle C has a radius of 8. If circle A rotates 3 turns counterclockwise, how many turns does circle B and circle C rotate in total?
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191031
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There are 10 cards numbered 1-10, respectively. 5 different cards are selected randomly from these 10 cards. What is the greatest value of difference between median and mean?
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191031
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How many of these x that make the median and average of x, 1, 2, 3, 4 equal?
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191031
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What is the units digit of 3^66?
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200301
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(4!)^n is a factor of 12!, but (4!)^(n+1) is not a factor of 12!, what is the value of n?
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191222
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There is a dug on a surface, a frog at 4foot below the dug, and then another frog is 3.5foot from dug and 3.5 foot from the first frog. How far is this frog under the surface?
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191222
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There is a number E, which is a four-digit number, and each digit is an even number; One number is O, which is also a four-digit number, but every digit is odd. There is currently a number W=E+O, and W is a number with five digits, so how many of the five digits of W can't be odd?
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191222
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There are 10 pairs of socks of different colors and the two socks that are in pair are the same. Take out 12 socks from the ten pairs and what is the least number of socks in pairs of these 12 socks?
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191020
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When m and n are divided by 7, the remainders are both 3, so what is the remainder when mn is divided by 7?
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191031
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What is the value of remainder when 2 ^ 5550 is divided by 7?
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190215
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5$$x^{2}$$ - 2x - 39=0(x > 0).x=?
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190302
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How many solutions does the equation |2x-3|=x-5 have?
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190302 还原机经选题: 数论&代数
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n=1234567891011121314…. n is an integer composed of positive integers arranged in order. From left to right, what is the 72nd digit of n?
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KMFPS
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If x and y are positive integers such that the remainder when x is divided by 5 is 2 and the remainder when y is divided by 5 is 3, what is the remainder when xy is divided by 5?
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KMFPS
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If n is a multiple of 3, what is the remainder when 15n is divided by 6?
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OG12 OG15 OG16 OG17 OG18
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If n is an integer greater than 6, which of the following must be divisible by 3?
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Magoosh
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Is ABCD a rectangle?(1) ∠ADC = 90°(2) AD = BC Note: Figure not drawn to scale
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