#### 题目列表

If the ones digit of $7^{n}$ is 9, then the value of n could be?

Indicate all such numbers.
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 is the units digit of $2^{2222}$?
What is the units digit of ($4^{32}$ - $3^{32}$)?
What is the units digit of $2^{2012}$+$3^{2012}$+$5^{2012}$+$7^{2012}$?

#### Quantity A

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

#### Quantity B

1

What is the remainder when the square of 345,606 is divided by 20?
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 the product of four prime numbers a, b, c and d is divided by 77, the result is a multiple of 5. When the product of these four prime numbers is divided by 7, the result could be?

Indicate all such numbers.
X is the positive difference between $3^{100}$and $3^{97}$. What is the greatest prime divisor of X?

#### Quantity A

The number of tenth equals to 1.4

#### Quantity B

The number of hundredth equals to 1.3

In a survey of drivers, 36% of male drivers hate driving at night, while 48% of female drivers hate driving at night. As a whole, 45% of all drivers hate driving at night. What is the ratio of male drivers to all the drivers in the survey?

A company has a certain number of trucks and limousines. If 60% of limousines have special autopilot system in place, while 24% of all cars are limousines equipped with such special autopilot system, then what is the ratio of the number of limousines to the number of all cars?

If someone puts away $92,000 in a bank with an annual interest rate of r%, and earns$920 in the first month, then what is the value of r? Give your answer as percent.

_____%
What's the number of integers between 1 and 2,000, inclusive, that can be transformed into not only a perfect square number and also a perfect cubic number?
P, Q, and T are three distinct points in a plane.

#### Quantity A

The number of lines in the plane that pass through points P, Q and T

#### Quantity B

1

For the convex polygon above, which of the following intervals contains all possible value of x? If $a_{1}=2$, $a_{2}=3$, $a_{n}=a_{n-1}*a_{n-2}$ (n≥3),then $a_{8}$ is?
Set A={1, 2, 3}
Set B={1, 2, 3, 4}

#### Quantity A

The total number of different four-digit positive integers that can be formed by elements from Set A

#### Quantity B

The total number of different three-digit positive integers that can be formed by elements from Set B

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