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The integer n is the product of five consecutive positive integers. Which of the following integers must be a factor of n?

Indicate all such numbers.
The remainder is 10 when the sum of a positive integer n and 11 is divided by 12.

Quantity A

n

Quantity B

11


A positive integer n divided by 3 has a remainder of 2, and 50 < n < 60, Which of the following could be the value of n?

Indicate all such values.
n is an integer between 100 and 200 such that when n is divided by 9, the remainder is 4. What is the number of possible values of n?
The remainder is 10 when (x + 11) is divided by 12 (where x is a positive integer)

Quantity A

x

Quantity B

11


x is a positive integer

Quantity A

The remainder when(x+1)(x+2)(x+3)is divided by 5

Quantity B

1


If now the hour hand is at 4, then after 1196 hours, what number will the hour hand be at?
When the integer k is divided by 6, the remainder is 4. What is the remainder when 8k is divided by 6?
The units digit of a positive integer n is 8

Quantity A

The units digit of 3n

Quantity B

The units digit of $$n^{3}$$


The units digit of $$23^{n}$$ is 7, and if 9 ≤ n ≤ 14, what could be the value of n?

Indicate all such values.
If k is a positive integer and n is the ones digit of $$7^{k}$$, what is the greatest possible value of |n-7|?
n is a positive integer, x is the units digit of $$7^{n}$$, y is the units digit of $$3^{n}$$

Quantity A

|x-y|

Quantity B

3


X equals to a positive integer to the power of four.

Which of the following could be the units digit of X?

Indicate all such values.
What is the remainder when $$7^{38}$$ is divided by 9?
m is a positive integer

Quantity A

The remainder when the sum of $$1999^{m}$$ and $$2001^{m}$$ divided by 7

Quantity B

4


What is the remainder when $$3^{35}$$ is divided by 5?
What is the remainder when $$3^{283}$$ is divided by 5?

Quantity A

The remainder when $$7^{13}$$ is divided by 10

Quantity B

7


How many primes can be formed when someone selects two different numbers from 2,3,4,5 as the tens digit and units digit, respectively?
The cubic root of n is a prime,what could be the possible value of n?

Indicate all such items.

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