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By weight, liquid A makes up 8 percent of solution R and 18 percent of solution S. If 3 grams of solution R are mixed with 7 grams of solution S, then liquid A accounts for what percent of the weight of the resulting solution?
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Note: Each shaded cell is the intersection of a benefit column and an incentive row and contains the number of companies (out of the 600 surveyed) that offer both that benefit and that incentive. For example, 195 of the companies surveyed offer both a disabilityinsurance benefit and a profit-sharing incentive.
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For how many of the four incentives listed does each of the companies surveyed that offers this incentive also offer a health-insurance benefit?
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A certain benefits and incentives package consists of 2 benefits to be chosen from the benefits offered by more than $$\frac{1}{2}$$of all the companies surveyed and 1 incentive to be chosen from the incentives offered by more than $$\frac{1}{3}$$ of all the companies surveyed. How many suck packages are possible?
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The ratio of the number of companies offering both a stock-options incentive and one of the benefits listed to the number of companies offering that benefit is greatest for which of the five benefits?
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Which of the following statements about triangle PQR shown in the xy-plane are true?
Indicate all such statements.
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Ben has 30 pencils in a box. Each of the pencils is one of 5 different colors, and there are 6 pencils of each color. If Ben selects pencils one at a time from the box without being able to see the pencils, what is the minimum number of pencils that he must select in order to ensure that he selects at least 2 pencils of each color?
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A password is formed by 5 special characters, including a "@", two "$" and two "#". How many different passwords can be formed?
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The sum of three different positive integers is 11.
Which two of the following statements together provide sufficient information to determine the three integers?
Indicate two such statements.
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Quantity A: The number of two-digit positive integers for which the units digit is not equal to the tens digit
Quantity B: 80
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What is the sum of the integers between -90 and 95, inclusive?
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If x is an odd negative integer and y is an even integer, which of the following statements must be true?
I. (3x - 2y) is odd
II. x$$y^{2}$$ is an even negative integer
III. ($$y^{2}$$-x) is an odd negative integer
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m is an integer
f(n)=n(n+1)/2
Quantity A: $$(-1)^{f(4m+1)}$$
Quantity B: $$(-1)^{f(4m+2)}$$
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Line k passes through point (7, 7) and is perpendicular to Line l y=-x+4. If the distance between Point O and point (7,7) is the same as the distance between Point O and the intersection point of line l and line m, then Point O could be?
Indicate all such points.
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The greatest of the 21 positive integers in a certain list is 16. The median of the 21 integers is 10. What is the least possible average (arithmetic mean) of the 21 integers?
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Set A={22,23,24,25,26,27}
Set B={222,223,224,225,226,227}
Quantity A: The standard deviation of integers in Set A
Quantity B: The standard deviation of integers in Set B
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A normal distribution of variable X has a mean of 56 and a standard deviation of 4
Quantity A: The percentage of variable X ranging from 60 to 62
Quantity B: The percentage of variable X ranging from 62 to 64
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Quantity A: The sum of angles of a square
Quantity B: The sum of any four angles of a pentagon
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If the difference between the product and sum of five integers a, b, c, d, e is an even integer, then the number of even integers among these five numbers CANNOT be?
Indicate all that are true.
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