题目列表

题目内容
If the ones digit of $$7^{n}$$ is 9, which of the following could be the value of $$n$$?

Indicate all such values.
n, k and r are all positive integers

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

Indicate all that are possible.
$$n$$, $$k$$ 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.
If n is the units digit of $$7^{k}$$, where k is a positive integer, what is the greatest possible value of |n-7|?
What is the units digit of $$2^{2222}$$?
What is the units digit of ($$4^{32}$$ - $$3^{32}$$)?
What`s the units digit of the positive difference between $$32^{19}$$ and 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 $$555^{555}$$


$$a$$ = $$3^{11}$$+$$3^{16}$$+$$3^{19}$$+$$3^{23}$$)?

What is the units digit of $$a$$?
What is the units digit of $$2^{2012}$$+$$3^{2012}$$+$$5^{2012}$$+$$7^{2012}$$?
What is the tens digit of $$2007^{2007}$$?

Quantity A

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

Quantity B

1


Quantity A

The remainder when $$3^{64}$$ is divided by 8

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 $$2^{32}$$ is divided by 3

Quantity B

1


Quantity A

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

Quantity B

4


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

Quantity B: 7


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