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题目内容
n is a positive integer

Quantity A

The remainder when n is divided by 5

Quantity B

The remainder when n+10 is divided by 5
n is a positive integer.

Quantity A

The remainder when 5($$10^{n}$$) + 1 is divided by 3

Quantity B

1
$$x$$ is a positive integer

Quantity A

The remainder when 4($$10^{x}$$)+47 is divided by 3

Quantity B

1

Quantity A

The remainder when 123,456,789 is divided by 9

Quantity B

1
When a positive integer (less than 100) is divided by 5 and 6, the remainder is 3 and 2, respectively.

Quantity A

The greatest possible number of such integers

Quantity B

4
When a positive integer (less than 1,000) is divided by 5 and 6, the remainder is 2 and 3, respectively. What is the greatest possible number of such integers?
If the remainder is 4 when n is divided by 5, and is 5 when n is divided by 6, then what is the remainder when n is divided by 15?
x is an integer between 44 and 53, inclusive. When x is divided by 3 and 4, the remainder is 2 and 1, respectively. What is the value of x?
If n is any prime number greater than 2, which of the following CANNOT be a prime number?
p=$$n^{2}$$+1, p is a prime number, n is an integer

Quantity A

p

Quantity B

17
A student made a conjecture that for any integer n, the integer 4n+3 is a prime number. Which of the following values of n could be used to disprove the student's conjecture?

Indicate all such values.

Quantity A

The number of prime numbers between 50 and 60

Quantity B

The number of prime numbers between 80 and 90
How many prime numbers can be formed when you select two different numbers from 2, 3, 4, 5 as the tens digit and units digit, respectively?
x and y are prime numbers and x+y=18

Quantity A

xy

Quantity B

70
a and b are primes, a+b=12.

Quantity A

b

Quantity B

8
When the product of four prime numbers a, b, c and d is divided by 77, the result is a multiple of 5. When the product of these four prime numbers is divided by 7, the result could be?

Indicate all such numbers.

Quantity A

The number of prime numbers divisible by 13

Quantity B

The number of prime numbers divisible by 2

Quantity A

The number of prime numbers that are divisible by 9

Quantity B

The number of prime numbers that are divisible by 19
p and n are positive integers less than 30. p is a prime number, while n is not a prime number.

Which of the following CANNOT be the sum of n and p?

Indicate all such numbers.
K is a prime number.

Quantity A

The greatest prime factor of 40K

Quantity B

The greatest prime factor of 39K

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