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190321 还原机经选题
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n is a three-digit number. Is n odd?
1: The sum of the three digits of n is odd.
2: The sum of the hundreds and the unit digit of n is twice of the tens digit.
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190415 还原机经选题: 数论&代数
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X is formed by inserting two plus signs in 1,2,3,4,5. For example, X=12+34+5=51. Is X odd?
1: X > 100
2: There's a plus sign between 1 and 2.
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191031 还原机经选题
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Of a positive three-digits number, the tens digit is three times the units digit, and the hundreds digit is twice the tens digit. Which of the following must be true?
I. n是奇数
II. n的个位数,十位数,百位数相加为偶数
III. n除以3余1
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190215 还原机经选题
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It is given that a,b,c are prime numbers larger than 1,and abc=60. What is the value of a+b+c
1:a+b=8
2:a,b are odd.
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190113 还原机经选题
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X is a set that composed of consecutive integers. How many numbers are there in X?
(1)There are 71 numbers that can be divided by 3 in X.
(2)There are 106 even integers in X.
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190415 还原机经选题: 数论&代数
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s,r,t are integers. Is $$\frac{t}{s^{2}}$$ an integer?
1: $$\frac{t}{sr}$$ is an integer.
2: $$\frac{r}{s}$$ is an integer.
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191222 还原机经选题
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If 12! is a multiple of $$(4!)^n$$ and not a multiple of $$(4!)^{n+1}$$, what is the value of n ?
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191222 还原机经选题: 数论&代数 730高分节-数学测试
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If a, b, and c are positive integers, is $$2^a+2^b+2^c$$ a multiple of 10?
(1)b=c
(2)c=a+1
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190321 还原机经选题
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n>2. Is n a prime number?
1:(n-1)!+1 can be divided by n.
2:(n+1)!+2 cannot be divided by n.
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191020 还原机经选题
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If abc, bca, and cab are three-digits positive integers, what is the smallest prime factor of the sum of these three-digits positive integers?
1:a+b=c
2:c=2
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191222 还原机经选题
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p q r are positive integers, p+q+r=5, how many factors does $$2^p3^q5^r$$ have?
(1)p+q=3
(2)q+r=3
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190124 还原机经选题: 数论&代数
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Is 12500000 a factor of integer n?
1: n can be divided by $$5^{8}$$.
2: n can be divided by $$20^{5}$$.
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190215 还原机经选题
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x > 2, y > 2. Can x be divided by 20?
1: x is a multiple of 5.
2: x=(n+2)!
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190215 还原机经选题
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5 days from today is Tuesday, when is 100 days from today?
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190310 还原机经选题
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If the 40 consecutive positive integers 1-40 are divided by 6 to get 40 residues, what is the sum of the residues?
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190321 还原机经选题
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n is a positive integer. What is the reminder of when divided by 12?
1: n is even.
2: n is a multiple of 3.
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190415 还原机经选题
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ababa is a five-digit integer. Can ababa be divided by 3?
1: a can be divided by 3.
2: b can be divided by 3.
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191031 还原机经选题
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If k and n are positive factors, and f(n) represents the remainder when n is divided by k,is k>10?
(1)f(k+32)=8
(2)f(k+42)=6
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200301 还原机经选题
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What`s the reminder when $$9^{581}$$ is divided by 10?
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190113 还原机经选题
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A and B are two-digit positive integers. The tens digit of A is 3. The unit digit of B is 5. A(B+1)=2016. 5A+2B=?
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