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题目内容
What is the remainder when (12$$3^{3}$$+12$$4^{2}$$-12$$3^{2}$$+124) is divided by 122?
n is a positive integer. n is not divisible by 4. n is not divisible by 5.

Quantity A

The remainder when n is divided by 4

Quantity B

The remainder when n is divided by 5
n is a positive integer

Quantity A

The remainder when n is divided by 7

Quantity B

The remainder when 2n is divided by 7
What's the unit digit of the positive difference between $$27^{13}$$ and 27?
$$P=23^{25}$$-23

In the equation above, what is the units digit of $$P$$?
If the units digit of 2$$3^{n}$$ is 7 (8 < n < 13), then what is the value of n?
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 $$2007^{2007}$$?

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