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数论 易错题集-1

题目总数20 平均正确率 33% 预计耗时 67min 完成人数 2137
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题目详情

题号 题目内容 耗时/秒 平均正确率 操作
DS-1b2z4k
The positive integer k has exactly two positive prime factors, 3 and 7. If k has a total of 6 positi 202 38%

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PS-e63rtk
How many different sets of positive square integers, each greater than 1, add up to 75? 202 14%

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PS-cc3rzk
If [math]2^x+2^y=x^2+y^2[/math], where x and y are nonnegative integers, what is the greatest possib 202 22%

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PS-c43s6k
If n is a positive integer greater than 1, then p(n) represents the product of all the prime numbers 202 38%

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DS-0e4c4k
Each employee on a certain task force is either a manager or a director. What percent of the employe 202 40%

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PS-8d354k
List T consists of 30 positive decimals, none of which is an integer, and the sum of the 30 decimals 202 40%

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PS-143kjk
A "Sophie Germain" prime is any positive prime number p for which 2p + 1 is also prime. The product 202 33%

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PS-733k1k
Two different primes may be said to "rhyme" around an integer if they are the same distance from the 202 33%

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PS-e34ckk
Last month 15 homes were sold in Town X. The average (arithmetic mean) sale price of the homes was $ 202 39%

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DS-643rmk
If x is a positive integer, what is the value of x?[br/](1) The first nonzero digit in the decimal e 202 32%

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DS-693zak
If u is a multiple of prime number is u a multiple of [math]v^2[/math]?[br/]1. v<6[br/]2. u = 42 202 28%

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PS-ba3ksk
The operation x&n for all positive integers n greater than 1 is defined in the following manner: x&n 202 30%

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PS-373jvk
If [math]2^x+2^y=x^2+y^2[/math], where x and y are nonnegative integers, what is the greatest possib 202 38%

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PS-a93jpk
How many different sets of positive square integers, each greater than 1, add up to 75? 202 27%

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DS-253sik
If x and y are integers and x< y, what is the value of x + y?[br/](1)[math]x^Y=4[/math][br/](2) |x| 202 35%

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PS-104bpk
For every positive even integer n, the function h(n) is defined to be the product of all the even in 202 44%

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DS-bb44ek
If x and y are both positive integers, what is their greatest common factor?[br/](1) x and y are pri 202 14%

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PS-82355k
How many of the integers that satisfy the inequality [math](x + 2)(x + 3)/(x-2) ≥ 0[/math] are less 202 42%

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DS-f93jik
If x is a positive integer, what is the value of x?[br/](1) The first nonzero digit in the decimal e 202 43%

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PS-8c3k8k
x is replaced by 1 - x everywhere in the expression [math]1/x - 1/(1-x)[/math], with [math]x!=0[/mat 202 68%

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