List of practice Questions

Soft Drink Manufacturer: Our new children's soft drink, RipeCal, is fortified with calcium. Since calcium is essential for developing healthy bones, drinking RipeCal regularly will help make children healthy.
Consumer Advocate: But RipeCal also contains large amounts of sugar, and regularly consuming large amounts of sugar is unhealthful, especially for children.
In responding to the soft drink manufacturer, the consumer advocate does which of the following?
Over a period of several months, researchers attached small lights to the backs of wetas—flightless insects native to New Zealand—enabling researchers for the first time to make comprehensive observations of the insects' nighttime activities. Thus, since wetas forage only at night, the researchers' observations will significantly improve knowledge of the normal foraging habits of wetas.
Which of the following is an assumption on which the argument depends?
The curve below consists of three semicircles: AB, BC, and CD. The diameter of AB is 2, the diameter of BC is twice the diameter of AB, and the diameter of CD is twice the diameter of BC. What is the total length of the curve?
What is the cost, in cents, of using a certain fax machine to send n pages of a report if the total cost for sending the first k pages is r cents and the cost for sending each additional page is s cents? (Assume that n>k)
A rectangular solid has a square base and altitude of 7. If the volume of the solid is 252, then the perimeter of the square base is
In the xy-coordinate system, the point (x, y) lies on the circle with equation \(x^2 + y^2 = 1\).
Column A: \(x + y\)
Column B: 1.01
A health food store prepares a breakfast food that consists of oats, raisins, and nuts mixed in the ratio 9:2:1, respectively, by weight. If the nuts in the mixture weigh 9.2 pounds, how many pounds does the total mixture weigh?
\(3 - 2[5 - 7(3+2)] =\)
For every positive integer n greater than 1, n! is defined as the product of the first n positive integers. For example, \(4! = (1)(2)(3)(4) = 24\). What is the value of \(\frac{12!}{10!}\)?
A market survey showed that 76 percent of the visitors at a certain resort came from Pacific or southwestern states. Of these, \(\frac{2}{3}\) were from California, and 87 percent of the Californians were from southern California. Approximately what percent of the visitors at the resort were from southern California?
If \(\frac{5^4 - 1}{n}\) is an integer an n is an integer, then n could be each of the following EXCEPT
Column A: x
Column B: 80
Integer n will be randomly selected from the integers 1 to 13, inclusive.
Column A: The probability that n will be even
Column B: The probability that n will be odd
\(p + q = 1\)
\(0<p<q\)
Column A: \(\frac{1}{pq}\)
Column B: 1
\(2x + 3y = 29\)
\(3x + 4y = 41\)
Column A: \(x + y\)
Column B: 12
\(PQ = OQ = 5\)
Column A: The area of region OPQ
Column B: 10
Column A: \((\sqrt{5} + \sqrt{5})^2\)
Column B: 20
\(\frac{n}{4} + \frac{r}{8} = \frac{s}{8} + \frac{t}{6}\), where n, r, s, and t are positive integers.
Column A: \(2n + r\)
Column B: \(2s + t\)
Column A: \(|x^2|\)
Column B: \(|x|^2\)
The square is inscribed in the circle.
Column A: The length of a diagonal of the square
Column B: The length of a diameter of the circle
\(x<y<20\)
Column A: \(x + y\)
Column B: 35
In college M the average (arithmetic mean) number of students per course is 30 and the ratio of the number of students to the number of faculty is 20 to 1.
Column A: The total number of students in College M
Column B: 600
\(x>0\)
Column A: \(\frac{590 + x}{800}\)
Column B: \(\frac{600 + x}{790}\)
CONTROVERT:
PROTRACT: