List of practice Questions

People whose bodies cannot produce the substance cytochrome P450 are three times as likely to develop Parkinson's disease, a disease that affects the brain, as are people whose bodies do produce this substance. Since cytochrome P450 protects the brain from toxic chemicals, toxic chemicals probably play a role in the development of Parkinson's disease.
Which of the following, if true, most strongly supports the argument?
The early universe contained only the lightest elements, hydrogen and helium. Heavier elements, such as carbon, form only in nuclear reactions in stars and are dispersed when the stars explode. A recently discovered gas cloud contained carbon several billion years ago, when the universe was no more than two billion years old.
If the statements above are true, which of the following must, on the basis of them, also be true?
In a series of races, 10 toy cars are raced, 2 cars at a time. If each car must race each of the other cars exactly twice, how many races must be held?
\((2^{10} - 2^9)(2^8 - 2^7) =\)
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