题目列表

题目内容
How many first-year student did not take the placement exam in 1995?
In a list of 25 different numbers, the average (arithmetic mean) of all the numbers greater than the median is 200, and the average of all the numbers less than the median is 100. If the average of the 25 numbers is an integer, which of the following could be the value of the median?

Indicate all such values.
w ≠ 0

$$\frac{x}{w}$$=$$\frac{w}{y}$$

Quantity A

x

Quantity B

y


3x+8-x=17+x-9

Quantity A

x

Quantity B

1




In a set of cards, each card is colored one of three colors and each card is labeled with one letter as indicated in the table. If one card is to be selected at random from the set, what is the probability that the selected card will be blue or labeled with the letter W?
If the sum of all edges in a cube is 36, what is the volume of the cube?
In the xy-plane, a line pases through two points (6, 20) and (2, 22), respectively.

Quantity A

The x-intercept of the line

Quantity B

36


(a+b)(c+d)=0 c≠-d

Quantity A

-a

Quantity B

b


R is a positive multiple of 21.

Quantity A

The remainder when 20R is divided by 12

Quantity B

0




In the above figure, points B, C and D are centers of three congruent circles, and circle C passes through the center of circle B and circle C.

Quantity A

The area of the shaded area

Quantity B

The area of the unshaded area


When x+1 is divided by 7, the remainder is 3.

Quantity A

The remainder when x is divided by 7

Quantity B

0


Integers x and y are each greater than 1, and 7 < xy < 13. How many different values of xy are possible?
In a sequence, $$x_{n}=\frac{1}{x_{n+1}}$$, $$x_{9}$$=2 (n≥0)

Quantity A

$$x_{1}$$

Quantity B

$$x_{18}$$


2 ≤ x ≤ 7 and 5 ≤ y ≤ 14

x and y are different positive integers.

Quantity A

The greatest possible value of $$\frac{5}{x-y}$$

Quantity B

5




Square EFGH is inscribed inside square ABCD.

If the perimeter of square ABCD is 48, and ∠DEH=60°, then which of the following is nearest to the perimeter of the square EFGH?


Quantity A

x

Quantity B

60


On the number line, points R, S, and T have coordinates r, s, and t, respectively, where r=2t. Point R is to the right of point S, and point T is to the left of point R.

Quantity A

t

Quantity B

s




In triangle ABC shown, AB=BC and the measure of angle BAC is 58 degrees.

Quantity A

AC

Quantity B

AB


a > 1

Quantity A

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

Quantity B

$$\frac{a+1}{a}$$


0 < a < b < c

r=$$\frac{a}{a+b+c}$$, s=$$\frac{b}{a+b+c}$$, and t=$$\frac{c}{a+b+c}$$.

Quantity A

The average (arithmetic mean) of r, s and t

Quantity B

$$\frac{1}{3}$$


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