题目列表

Greg's weekly salary is \$187,which is 15 percent less than Karla's weekly salary.If Karla's weekly salary increases by 10 percent,by what percent must Greg's weekly salary increase in order to equal Karla's new weekly salary?

y > 1,001

Quantity A

$\sqrt[3]{y}$

Quantity B

$\frac{y}{100}$

The candies in a candy shop can be divided into unscented and scented, and they can also be divided into blue and green. There are 1000 unscented candies and 1000 blue candies. 25% of blue candies and 50% of green candies are scented. When the candies which are neither scented blue nor scented green are sold out, how many candies are there still in the shop?

As shown in the following figure, there is a vertical wall surface in the figure. The distance from point P to left edge is 10m, and the distance from point P to bottom edge is 10m. A barrel of pigment can be used to brush $170m^{2}$ of the walls surface. If the barrel of pigment is used to brush the wall vertically from left edge, the total width of the surface that has been brushed to the left edge is x m, what is the range of x?

The figure above shows five congruent circles each with radius 2 such that each of the five circles is tangent to two other congruent circles and to a smaller inner circle. The perimeter of the figure is composed of 5 line segments of length X and 5 circular arcs of length Y. What is the perimeter of the figure?

If 20 red cubes and 7 white cubes, all of equal size, are fitted together to form one large cube, as shown above, what is the greatest fraction of the surface area of the large cube that could be red?
If a and b are integers satisfying the equation $a^{2}$+$b^{2}$=145, which of the following could be the value of a+b?

Indicate all such values.
A restaurant has a total of 16 tables, each of which can seat a maximum of 4 people. If 50 people were sitting at the tables in the restaurant, with no tables empty, what is the greatest possible number of tables that could be occupied by just 1 person?
Which of the following set has the greatest number of integers from 1 to 100, inclusive?
The number 24 has the property that it is divisible by its units digit, 4. How many of the integers between 10 and 70 are divisible by their respective units digits?

Quantity A

The perimeter of ABCD

Quantity B

The sum of the lengths of diagonals AC and BD

How many different points (x, y), where x and y are both positive integers, in xy-plane satisfy the inequality x+y ≤ 200?
If one number is chosen at random from the first 1,000 positive integers, what is the probability that the numbe r chosen has at least one digit with the number 6?
Each of the offices on the second floor of a certain building has a floor area of either 250 or 300 square feet. The total space of these offices is 5,750 square feet.

Quantity A

The number of these offices with floor areas of 250 square feet

Quantity B

The number of these offices with floor areas of 300 square feet

If a, b, c are three consecutive positive even integers, which of the following must be an integer?

Indicate all thats possible.
What is the remainder when $(345,606)^{2}$ is divided by 20?
All of the 80 science students at a certain school are enrolled in at least one of three science courses: biology, chemistry, and physics. There are 60 students enrolled in physics, 50 students enrolled in chemistry, and 35 students enrolled in biology. None of the students are enrolled in all three courses. Which of the following could be the number of students enrolled in both chemistry and biology?
Indicate all such possible values.
Sequence S: $a_{1}, a_{2}, a_{3},......,a_{n}$........

In sequence S, $a_{1}$ is an integer and $a_{n}=2a_{n-1}$ for all integers n greater than 1. If no term of sequence S is a multiple of 100, which of the following could be the value of $a_{1}$?

Indicate all such values.

The diameters of the five circles all equals to 4. All the circles are tangent to each other and together inscribed in the rectangle. What is the area of the rectangle?

A number set contains a total of 240 numbers ranging from 20 to 80, inclusive. According to the boxplot, which of the following expression MUST be true?
Indicate all such expressions.

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