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题目内容
There are 25 students in a class. 15 of them take Course A, 12 of them take Course B, and 8 of them take Course C. If each student has to take at least one course, then what is the greatest possible number of students who take all the three classes simultaneously?
Each time a certain coin is tossed, it lands either heads up or tails up. If the coin is to be tossed 3 times, what is the probability that it will land heads up 2 times?
If both the sum and the product of the four positive integers a, b, c and d are even, while the product of a, b, c and d is multiple of 8, but not multiple of 16, then what is the number of these integers that could be even?
0 < s < t

Quantity A

$$\frac{s}{t}$$ +0.4

Quantity B

$$\frac{5s+2t}{5t}$$




The average (arithmetic mean) of the 4 integers q, r, s and t is 0.

Quantity A

The average of the 4 integers q+10, r, s and t

Quantity B

The average of the 5 integers q, r, s, t, and 10




The circumference of a circle with radius 3 is divided into 4 areas of lengths w, x, y, and z, as shows.

Quantity A

The average (arithmetic mean) of w, x, y, and z

Quantity B




Line segment QT has length 28. Point P is on QT, and line segment PT has length 15. Point X is also on QT, and line segment XP has length 3.

Quantity A

The length of line segment QX

Quantity B

The length of line segment QP


Jim paints 1/5 of a garage, and Katrin paints 1/6 of the remainder of the garage.

Quantity A

The fraction of the garage not painted by Jim and Katrin

Quantity B

19/30




It costs d dollars to buy s sandwiches. At this rate, what is the cost of s+2,850 sandwiches, in dollars?
A store is shipping 7 items to a single address. The items can be packed into 1, 2 or 3 different containers for shipping. If a container is used for shipping, it must be packed with at least 2 items. Which of the following statements about the different combinations of packing must be true?

Indicate all such statements.
Club X has 40 members and Club Y has 28 members. If 8 people are members of both clubs, how many people are members of at least one of the two clubs?
In quadrant I of the xy-plane, a triangle has vertices at (r, r), (4r, r), and (r, 3r). For what value of r is the area of the triangle equal to 300?
A circle is inscribed in a square. If a point is to be chosen at random from the square region, what is the probability that the point chosen will lie inside the circular region?
How many of the 900 positive 3-digit integers have a units digit of 2 and are the square of an integer?
Each of the people who took a data entry test made 0, 1, 2, 3, or 4 errors. Of those people, 65 percent made fewer than 4 errors, 46 percent made fewer than 3 errors, and 24 percent made fewer than 2 errors.

Quantity A

The percent of the people who took the data entry and made exactly 2 errors

Quantity B

20%




x > 1, $$\frac{1}{\sqrt{x}}$$ < $$\frac{1}{\sqrt{y}}$$

Quantity A

x

Quantity B

y


x ≠ $$\frac{1}{2}$$

Quantity A

$$\frac{(x+\frac{1}{2})^{2}}{(x-\frac{1}{2})^{2}}$$

Quantity B

1




Sequence S has 75 terms. The nth term of S is 2n+5, where n is an integer from 1 to 75, inclusive.

Quantity A

The median of the values of the terms in S

Quantity B

81




The original price of a certain musical instrument was 25 percent, or $150, greater than the discounted price. What was the original price of the instrument?


A typing test was given to 87 people. The table shows the cumulative frequency distribution for the numbers of errors made by this group of people on the test. How many of the 87 people made exactly 3 errors on the test?

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