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n, k and r are all positive integers

If $$n^{k}$$=10r+3, then n could be?

Indicate all that are possible.
What`s the product of the ones digit of $$7^{34}$$and $$6^{30}$$?
a=$$7^{n}$$,b=$$9^{n}$$. The sum of the ones digits of a and b could be (n is a positive integer)?

Indicate all such numbers.
What is the units digit of ($$4^{32}$$ - $$3^{32}$$)?
N=$$824^{x}$$, where x is a positive integer

Quantity A

The number of possible values the units digit of N

Quantity B

4


Quantity A

The units digit of $$888^{888}$$

Quantity B

The units digit of $$555^{555}$$


What is the tens digit of $$2007^{2007}$$?

Quantity A

The remainder when $$8^{43}$$ is divided by 7

Quantity B

1


m=$$10^{32}$$+2, when m is divided by 11, the remainder is r.

Quantity A

r

Quantity B

3


Quantity A

The remainder when $$7^{22}$$ is divided by 5

Quantity B

4


What is the remainder when $$(345,606)^{2}$$ is divided by 20?

Quantity A

The probability of the three-digit integer formed by 1, 2 and 7 (the same figure can be used for more than once) that can be divisible by 4

Quantity B

$$\frac{7}{27}$$


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?

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