If 893 × 78 = p, which of the following is equal to 893 × 79?

• 
  What is the smallest integer k for which 64^k > 4^14?
  B. 5
  
• 
  If 893 × 78 = p, which of the following is equal to 893 × 79?
  (D) p + 893
  

• 
  
  
  

What is the area of the circle with center M shown above?

(1) The length of AC is 
(2) The length of arc ABC is 
D- each statemnet alone is suffiecent



If, in the figure above, ABCD is a rectangular region, what is the value of the ratio Area of EDA/ Area of EBC?

(2) AE = 2 and EB = 4A.
Statement 2 alone is sufficient.

• 
  If Amy drove the distance from her home to the beach in less than 2 hours, was her average speed greater than 60 miles per hour?
  
  (1) The distance that Amy drove from her home to the beach was less than 125 miles.
  (2) The distance that Amy drove from her home to the beach was greater than 122 miles.
  

B- Statement 2 alone is sufficient.

• 
  A student's average (arithmetic mean) test score on 4 tests is 78. What must be the student's score on a 5th test for the student's average score on the 5 tests to be 80?
  
  (E) 88
  

During a certain two-week period, 70 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 5 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period?

D. 14A

• 
  Petrochemical industry officials have said that the extreme pressure exerted on plant managers during the last five years to improve profits by cutting costs has done nothing to impair the industry’s ability to operate safely. However, environmentalists contend that the recent rash of serious oil spills and accidents at petrochemical plants is traceable to cost-cutting measures.
  Which of the following, if true, would provide the strongest support for the position held by industry officials?
  (C) Despite major cutbacks in most other areas of operation, the petrochemical industry has devoted more of its resources to environmental and safety measures in the last five years than in the preceding five years.
  

How many different positive integers are factors in 342?

D- 12

• 
  A four-character password consists of one letter of the alphabet and three different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?
  (D) 37,440
  

125% of 5 =
E. 6.25

• 
  If the average (arithmetic mean) of six numbers is 75, how many of the numbers are equal to 75 ?
  
  (1) None of the six numbers is less than 75.
  (2) None of the six numbers is greater than
  

D- Each statement alone is suffiecent.

• 
  During a certain time period, Car X traveled north along a straight road at a constant rate of 1 mile per minute and used fuel at a constant rate of 5 gallons every 2 hours. During this time period, if Car X used exactly 3.75 gallons of fuel, how many miles did Car X travel?
  

E- 90.

- Scientists propose placing seismic stations on the floor of the Pacific Ocean to warn threatened coastal communities on the northwestern coast of the United States of approaching tidal waves caused by earthquakes. Since forewarned communities could take steps to evacuate, many of the injuries and deaths that would otherwise occur could be avoided if the government would implement this proposal.

The answer to which of the following questions would be most important in determining whether implementing the proposal would be likely to achieve the desired result
C) Would there be enough time after receiving warning of an approaching tidal wave for communities to evacuate safely?

• 
  Politician: Hybrid cars use significantly less fuel per kilometer than nonhybrids. And fuel produces air pollution, which contributes to a number of environmental problems. Motorists can save money by driving cars that are more fuel efficient, and they will be encouraged to drive hybrid cars if we make them aware of that fact. Therefore, we can help reduce the total amount of pollution emitted by cars in this country by highlighting this advantage of hybrid cars.
  
  Which of the following, if true, would most indicate a vulnerability of the politician's argument?
  
  (A) People with more fuel-efficient cars typically drive more than do those with less fuel-efficient cars
  

• 
  Which of the following most logically completes the argument below?
  
  Within the earth's core, which is iron, pressure increases with depth. Because the temperature at which iron melts increases with pressure, the inner core is solid and the outer core is molten. Physicists can determine the melting temperature of iron at any given pressure and the pressure for any given depth in the earth. Therefore, the actual temperature at the boundary of the earth's outer and inner cores—the melting temperature of iron there—can be determined, since_______.
  
  
  (A) the depth beneath the earth's surface of the boundary between the outer and inner cores is known
  

• 
  A certain expressway has Exits J, K, L, and M, in that order. What is the road distance from Exit K to Exit L ?
  
  (1) The road distance from Exit J to Exit L is 21 kilometers.
  (2) The road distance from Exit K to Exit M is 26 kilometers.
  

E) Both statements together still NOT sufficient.

- The average (arithmetic mean) of integers r, s, t, u, and v is 100. Are exactly two of the integers greater than 100?

(1) Three of the integers are less than 50.
(2) None of the integers is equal to 100.
E) Both statements together still NOT sufficient.
- An automobile dealership sells only sedans and coupes. It sells each in only two colors: red and blue. Last year, the dealership sold 9,000 vehicles, half of which were red. How many coupes did the dealership sell last year?

(1) The dealership sold three times as many blue coupes as red sedans last year.
(2) The dealership sold half as many blue sedans as blue coupes last year.
C- both statements together are sufficient.

What is the smallest integer n for which 25^n > 5^12 ?

(B) 7

• 
  Last year Joe grew 1 inch and Sally grew 200 percent more than Joe grew. How many inches did Sally grow last year?
  
  D) 3
  

• 
  According to the table shown, the estimated number of home-schooled students in State A is approximately what percent greater than the number in State D?
  
  D. 125%
  

A major network news organization experienced a drop in viewership in the week following the airing of a controversial report on the economy. The network also received a very large number of complaints regarding the report. The network, however, maintains that negative reactions to the report had nothing to do with its loss of viewers.

Which of the following, if true, most strongly supports the network's position?


(A) The other major network news organizations reported similar reductions in viewership during the same week

- Previously, Autoco designed all of its cars itself and then contracted with specialized parts suppliers to build parts according to its specifications. Now it plans to include its suppliers in designing the parts they are to build. Since many parts suppliers have more designers with specialized experience than Autoco has, Autoco expects this shift to reduce the overall time and cost of the design of its next new car.

Which of the following, if true, most strongly supports Autoco’s expectation?
(E) Most of Autoco’s suppliers have on hand a wide range of previously prepared parts designs that can readily be modified for a new car.

• 
  Fast-food restaurants make up 45 percent of all restaurants in Cantaria. Customers at these restaurants tend to be young; in fact, studies have shown that the older people get, the less likely they are to eat in fast-food restaurants. Since the average age of the Canatrian population is gradually rising and will continue to do so, the number of fast-food restaurants is likely to decrease.
  
  Which of the following, if true, most seriously weakens the argument?
  

(D) The overall population of Canatria is growing steadily.

• 
  In the week before a local election, a news company polled registered voters in the area to ask them which candidate they planned to vote for.