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余数的性质   题数:17
If n is a positive integer and r is the remainder when (n-1)(n+1) is divided by 24, what is the value of r?(1) 2 is not a factor of n.(2) 3 is not a factor of n.
Seven different numbers are selected from the integers 1 to 100, and each number is divided by 7. What is the sum of the remainders?(1) The range of the seven remainders is 6.(2) The seven numbers selected are consecutive integers.
What is the remainder when the sum of the positive integers x and y is divided by 6?(1) When x is divided by 6, the remainder is 3.(2) When y is divided by 6, the remainder is 1.
What is the remainder when the positive integer n is divided by 3?(1) The remainder when n is divided by 2 is 1.(2) The remainder when n + 1 is divided by 3 is 2.
If x is a positive integer, is the remainder 0 when (3x + 1)/10?(1) x = 3n + 2, where n is a positive integer.(2) x > 4
If x is a positive integer, is the remainder 0 when 3x + 1 is divided by 10?(1) x = 4n + 2, where n is a positive integer.(2) x > 4
If x and y are positive integers and r is the remainder when 34x+2 + y is divided by 10, what is the value of r?(1)   x = 25(2)   y = 1
What is the remainder when the positive integer n is divided by the positive integer k, where k > 1? (1) n = (k+1)3 ​(2) k = 5
If k is a positive integer, what is the remainder when 2k is divided by 10 ?(1) k is divisible by 10.(2) k is divisible by 4.
What is the remainder when the positive integer n is divided by the positive integer k, where k > 1?(1) n = (k+1)3(2) k = 5
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