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题目内容
A person used a part of $100,000 to buy a house, and put 1/3 of the remaining part into bank A with the annual interest rate of 4%. Then he put the remaining part into bank B with the annual interest rate of 6%. After a year, he got a total interest of $360. How many dollars did he use to buy a house?
Each person at a party shook hands exactly once with each of the other people at the party.

There was a total of exact 21 handshakes exchanged at the party.

Quantity A: The number of people at the party

Quantity B: 8
There are 10 blue balls, 8 green ones and 6 yellow ones, if one person picks up one by one without replacement, what is the minimum number of balls that he must pick up in order to ensure that two balls of the same color have been picked up?
There are 100 purple balls, 100 red balls and 100 blue balls, how many balls at least should be drawn to ensure four balls of a same color are selected?
If 20 were to be added to only one of the five factors in the product (173) (113) (131) (293) (239), to which factor must it to be added so that the resulting product is as great as possible?
w(x+y+z)=wx+wy+z

Quantity A

z

Quantity B

0
1 < r < s < t, which of the following is closest to r*s*t ?
x > 0

y < 0

Quantity A

$$(x-y)^{2}$$

Quantity B

$$x^{2}+y^{2}$$
a≠ 0

Quantity A

$$(a+\frac{1}{a})^{2}$$

Quantity B

2
$$x$$ and $$y$$ are positive numbers.

Quantity A

$$\sqrt{x}$$+$$\sqrt{y}$$

Quantity B

$$\sqrt{x+y}$$
x+y > 1

Quantity A: $$x^{2}$$+$$y^{2}$$

Quantity B: 1
x and y are integers and $$x^{2}$$-$$y^{2}$$=27

Quantity A

x

Quantity B

10
What is the value of $$\frac{0.99999999}{1.0001}$$ - $$\frac{0.99999991}{1.0003}$$?
x+y=7

Quantity A

x+2y

Quantity B

y+2x
3x+3 < 2y

Quantity A

x

Quantity B

y
z=x-2y

Quantity A

The average of x and z

Quantity B

x-y
xy+y < 0

Quantity A: x

Quantity B: y
0 < x < 1, n > 0

Quantity A

$$\frac{n}{x}$$

Quantity B

n
x is a real number

Quantity A

$$\frac{x}{x+1}$$

Quantity B

1
Quantity A:$$(2m+1)^{2}$$

Quantity B:$$(2(m+1))^{2}$$

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