#### 题目列表

k is a positive integer

Quantity A: The units digit of $1492^{k}$

Quantity B: The units digit of $1432^{k}$
What`s the units digit of the difference between $27^{13}$ and 27?
Quantity A: The units digit of $888^{888}$

Quantity B: The units digit of $555^{555}$
What is the remainder when $8^{43}$ is divided by 7?
What is the remainder when $3^{64}$ is divided by 8?
n is a positive integer

#### Quantity A

The remainder when 4*$10^{n}$+47 divided by3

#### Quantity B

1

n is a positive integer

Quantity A: The remainder when 5*$10^{n}$+1 is divided by 3

Quantity B: 1
In how many different ways can we use 0, 1, 2, 3, 4, to form a 4-digit number which must be a multiple of 3 (None of the five numbers can be used more than once)?
The remainder is 4 when positive integer n is divided by 5, and remainder is 5 when n is divided by 6. What is the remainder when n is divided by 15?
Positive integer n is between 44 and 53, inclusive. The remainder is 2 when n is divided by 3,and the remainder is 1 when n is divided by 4. What is the value of n?
p=$n^{2}$+1 where p is a prime number and n is an integer.

Quantity A: p

Quantity B: 17
What is the greatest prime factor of 510?
Quantity A: The number of the prime factors of 27

Quantity B: The number of the prime factors of 12
n is an odd positive integer, n*($2^{m}$)=160

Quantity A: n

Quantity B: m
What is the value of x+y?

#### Quantity A

The average of all the interior angles inside a quadrilateral

#### Quantity B

The average of all the interior angles inside a pentagon

As$\frac{5}{3} \times \frac{6}{4} \times \frac{7}{5} \times ... \times \frac{x}{y}$ =20, the numerator of the latter fraction is 1 more than the numerator of the former fraction, and the denominator of the latter fraction is 1 more than the denominator of the former fraction, what is the value of x+y?
x,y and z are three integers between -10 and 10,inclusive. What is the least possible value of $\frac{x-y}{z}$?
xy≠0,x > y

Quantity A:1/x

Quantity B:1/y
100 < a < b < 1000

#### Quantity A

$\frac{1}{a} - \frac{1}{b}$

#### Quantity B

$\frac{1}{100} - \frac{1}{1000}$

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