An interesting fact about the human ear is that in the cochlea, hair cells are placed close to each other, moving in unison and assuming distinct cell shapes independent of one another.

If , what is the value of ?

(1)

(2)

If P is a real number and list S is defined as {-4, 4, 2, 2, P}, what is the value of x?

(1) x is the mean of list S

(2) x is the median of list S

Which of the following numbers is not divisible by a perfect square?

For people living in the small town of Prudhoe Bay in Alaska, mukluk boots with footbed insulation and parka hoods with a ruff are essential items for daily wear, a method to protect wearers against the harsh cold of the Arctic winter.

The average test score in a class of four students is 100. If no scores are negative, how many students scored less than 90?

(1) Two students each scored 155 on the test.

(2) The median score of the class is 105.

In a mountainside car rally, a certain team traveled for two days. On the second day, the team traveled 2 hours longer than they did the first day, at an average speed 5 mph greater. If the team covered a total distance of 180 miles and took a total of 14 hours to complete the entire rally, what was their average speed, in miles per hour, on the second day?

A circle has a square drawn within it such that all the vertices of the square touch the circumference of the circle. If the radius of the circle is 6, what is the area of the square?

If two points and lie on a straight line, what is the slope of the line?

Does ?

(1)

(2)

The state legislature made a major error in the bill funding a new digital system to detect speeding violations on state freeways. The bill provides sufficient funding to pay for the digital system and its maintenance, but it provides no funding for the salaries of the additional administrative employees that will be necessary to process the fines and violations that this new system will generate. The bureaucratic deadlock resulting from the lack of necessary personnel will more than offset any gains from the system.

Which of the following, if true, would most seriously weaken the conclusion drawn above?

A group of students was asked to participate in a study on computer ethics. The students were exposed to a series of case-studies involving computer hacking, which were intended to illustrate both ethical and malicious hacks. Researchers found that engineering students consistently found no fault in the actions of ethical hacking. However, students in other fields frequently held that all hackers were unethical, regardless of details in the case. This shows that the general populace rejects the idea that a well-intentioned hacker can be ethical.

Which of the following, if true, would most seriously weaken the conclusion above?

Beatrix Potter had indomitable faith in her book The Adventures of Peter Rabbit; in 1901, she illustrated the characters at her own expense and decided on publishing it herself.

As many as 400 of the 1,084 patents held in Thomas Edison's name might be more justly attributed to other lesser-known inventors.

Ghai is an experienced filmmaker and the former head of India’s largest production house, the Indian Film Society. Clearly, he is an excellent choice to chair the new Council on Indian-Japanese Film Collaborations.

Which of the following, if true, would most strengthen the conclusion above?

If x, y, and z are all positive and $x^2+z^2=313$, then what is the value of y − x − z?

(1) $y^2+z^2=244$

(2) $x^2+y^2=269$

What is the value of ?

(1)

(2)

Fans of Chinese cinema knew Tsing Lee as a leading martial artist in several action movies, an actor who popularized Chinese martial arts in the United States, and as a contender in the Barcelona Olympics.