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OG19-数学分册
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Running at their respective constant rates, Machine X takes 2 days longer to produce w widgets than Machine Y. At these rates, if the two machines together produce $$\frac{5}{4}$$w widgets in 3 days, how many days would it take Machine X alone to produce 2w widgets?
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OG18-数学分册
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Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce $$\frac5 4$$ w widgets in 3 days, how many days would it take machine X alone to produce 2w widgets?
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190215
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x+$$\frac{1}{x}$$=5.$$\frac{1}{x^{2}}$$+$$x^{2}$$=?
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190215
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$$\frac{1}{10^{n+1}}$$ < 0.00068 < $$\frac{1}{10^{n}}$$ .n=?
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190113
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If x, and y are positive even integers, what is the lower limit of the maximum factor of 2$$x^{2}$$+4$$y^{2}$$?
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190113
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What is the units digit of the sum of $$5^{5}$$+ $$6^{5}$$+ $$7^{5}$$+ $$8^{5}$$=?
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190113
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$$(9+\frac{1}{9})^{2}$$-$$(9-\frac{1}{9})^{2}$$=?
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190302 还原机经选题: 数论&代数
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What is the unit digit number of $$5^{5}$$+$$6^{5}$$+$$7^{5}$$+$$8^{5}$$?
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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
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The length, width and height of cuboids are x, y, and z, respectively. If the length, width and height of a cuboid are changed to 3x, 5y, and 4z, respectively. How many times the volume of larger cuboid as that of the original cuboid?
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190207
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What is the reminder of $$2^{2550}$$ when divided by 7?
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190207
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a=x+$$\frac{1}{x}$$,b=x-$$\frac{1}{x}$$,$$\frac{(2^{a})^{2}}{(2^{b})^{2}}$$=?
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190207
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Two machines of the same model work together and can complete a certain task in k hours. If three machines of this model work together, k -2 hours can complete the same task. k =?
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190415
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In the sequence {$$a_n$$}, $$a_1$$=3,$$a_2$$=5,$$a_n$$=$$a_{n-1}$$+$$a_{n-2}$$(n≥3).$$\frac{a_24}{a_20}$$=?
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OG19 OG20 OG2022
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Set X consists of eight consecutive integers. Set Y consists of all the integers that result from adding 4 to each of the integers in set X and all the integers that result from subtracting 4 from each of the integers in set X. How many more integers are there in set Y than in set X ?
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If the population of a certain country is 120,256,000 and its land area is 2,998,000 square kilometers, then the population per square kilometer is closest to which of the following?
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If $$5x = 2y$$ and $${x}{y}≠{0}$$, then x is what percent of y?
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If $${n}={8}^{11}-{8}$$, what is the units digit of n?
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If n is the greatest positive integer for which $${2}^{n}$$ is a factor of $$10!$$, then n =
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PREP07 Test 2
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For a certain race, 3 teams were allowed to enter 3 members each. A team earned 6 - n points whenever one of its members finished in nth place, where $$1\le n \le 5$$. There were no ties, disqualifications, or withdrawals. If no team earned more than 6 points, what is the least possible score a team could have earned?
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