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题目内容
X=1!+2!+3!+4!+5!+6!+7!+8!+9!+10!

What is the remainder when X is divided by 20?
Let $$\frac{1}{3}$$+$$\frac{1}{5}$$+$$\frac{1}{7}$$+$$\frac{1}{9}$$+$$\frac{1}{11}$$=$$\frac{m}{(3)(5)(7)(9)(11)}$$, where m is a positive integer. What is the remainder when m is divided by 5?
When positive integer n is divided by 53, the remainder is 21, and when positive integer p is divided by 53, the remainder is 25. What is the remainder when the product np is divided by 53?
0 < k < n, $$k^{2}$$ + n is even

Quantity A

The remainder when n-k is divided by 2

Quantity B

1
s is a positive integer

r is a positive odd integer

Quantity A

The remainder when (s+r)(r+1) is divided by 2

Quantity B

1
k is a positive integer

Quantity A

The remainder when k is divided by 7

Quantity B

The remainder when 2k is divided by 7
a is a positive integer.

x is the remainder when 15a is divided by 6.

Quantity A:x

Quantity B:2
The remainder is 4 when N is divided by 6, while the remainder is x when 8N is divided by 6.

Quantity A

x

Quantity B

3
Let n be an integer greater than 30. When n is divided by 12, the remainder is 11. What is the remainder when (6n+1) is divided by 9?
a is a positive integer.

x is the remainder when 15a is divided by 6

Quantity A

x

Quantity B

2
n is a positive integer

Quantity A

The remainder when ($$n^{2}$$+3n+2) is divided by 6

Quantity B

2
The remainder is 1 when positive integer n is divided by 3

Quantity A

The remainder when n is divided by 5

Quantity B

2
If a class of P.E students are grouped into 6-person teams, then 2 students will be left. However, if all the students are grouped into 9-person teams, then how many students could be left?

Indicate all such numbers.

Quantity A

The remainder when 11,999,999 is divided by 12

Quantity B

11
What`s the units digit of ($$2^{19}$$ -32)?

Quantity A

The units digit of $$9^{84}$$

Quantity B

1
What is the units digit of $$505^{2}$$*$$327^{3}$$?
N= $$32^{19}$$ - 32

What is the units digit of N?
The units digit of $$7^{34}$$ is x, and the units digit of $$6^{34}$$ is y. What is the value of the product xy?

Quantity A

The absolute value of units digit of $$7^{n}$$-$$3^{n}$$

Quantity B

3

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