A can fill a tank in 15 minutes and B can fill it in 30 minutes. C can make it empty@12 Ltr/min. If all 3 are open at same time when tank was empty. After 30 minutes tank becomes completely empty find capacity of tank.

a) 360
b) 270
c) 180
d) 120
e) 90

If d represents the hundredths digit and e represents the thousandths digit in the decimal .4de, what is the value of this decimal rounded to the nearest tenth?

(1) d – e is equal to a positive perfect square.
(2) sqrt (d) > e*e

A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
D. Each statement alone is sufficient to answer the question.
E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Tom, Jane, and Sue each purchased a new house. The average (arithmetic mean) price of the three houses was $120,000. What was the median price of the three houses?

(1) The price of Tom’s house was $110,000.
(2) The price of Jane’s house was $120,000.

Each of the letters in the table above represents one of the numbers 1, 2, or 3, and each of these numbers occurs exactly once in each row and exactly once in each column.

What is the value of r?

(1) v + z = 6

(2) s + t + u + x = 6

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.

A supermarket sells both a leading brand of laundry detergent and its own brand of laundry detergent. On all sizes of the leading brand it makes a profit of 15 percent of the cost per jug. On all sizes of its own brand it makes a profit of 10 percent of the cost per jug. For a certain month, from the sales of which of the two brands does the supermarket realize the greater profit?

(1) Ounce for ounce, the supermarket pays a higher wholesale price for the leading brand than it does for its own brand
(2) Ounce for ounce, the supermarket sells 25 percent more of its own brand than of the leading brand

(A) statement 1 alone is sufficient to answer the question, but statement 2 alone is not sufficient
(B) statement 2 alone is sufficient to answer the question, but statement 1 alone is not sufficient
(C) both statements together are needed to answer the question, but neither statement alone is sufficient
(D) either statement by itself is sufficient to answer the question
(E) not enough facts are given to answer the question

It is widely assumed that a museum is helped finan- cially when a generous patron donates a potential exhibit. In truth, however, donated objects require storage space, which is not free, and routine conser- vation, which is rather expensive. Therefore, such gifts exacerbate rather than lighten the demands made on a museum’s financial resources. Which of the following, if true, most seriously weakens the argument above?

(A) To keep patrons well disposed, a museum will find it advisable to put at least some donated
objects on exhibit rather than merely in storage.
(B) The people who are most likely to donate valu- able objects to a museum are also the people
who are most likely to make cash gifts to it.
(C) A museum cannot save money by resorting to cheap storage under less than adequate con-
ditions, because so doing would drive up the cost of conservation.
(D) Patrons expect a museum to keep donated objects in its possession rather than to raise
cash by selling them.
(E) Objects donated by a patron to a museum are often of such importance that the museum
would be obliged to add them to its collec-tion through purchase if necessary.

Since the early 1920s, most petroleum geologists have favored a biogenic theory for the formation of oil. According to this theory, organic matter became buried in sediments, and subsequent conditions of temperature and pressure over time transformed it into oil.
Since 1979 an opposing abiogenic theory about the origin of oil has been promulgated. According to this theory, what is now oil began as hydrocarbon compounds within the earth’s mantle (the region between the core and the crust) during the formation of the earth. Oil was created when gasses rich in methane, the lightest of the hydrocarbons, rose from the mantle through fractures and faults in the crust, carrying a significant amount of heavier hydrocarbons with them. As the gases encountered intermittent drops in pressure, the heavier hydrocarbons condensed, forming oil, and were deposited in reservoirs throughout the crust. Rock regions deformed by motions of the crustal plates provided the conduits and fractures necessary for the gases to rise through the crust.

Opponents of the abiogenic theory charge that hydrocarbons could not exist in the mantle, because high temperatures would destroy or break them down. Advocates of the theory, however, point out that other types of carbon exist in the mantle: unoxidized carbon must exist there, because diamonds are formed within the mantle before being brought to the surface by eruptive processes. Proponents of the abiogenic theory also point to recent experimental work that suggests that the higher pressures within the mantle tend to offset the higher temperatures, allowing hydrocarbons, like unoxidized carbon, to continue to exist in the mantle.

If the abiogenic theory is correct, vast undiscovered reservoirs of oil and gas—undiscovered because the biogenic model precludes their existence—may in actuality exist. One company owned by the Swedish government has found the abiogenic theory so persuasive that it has started exploratory drilling for gas or oil in a granite formation called the Siljan Ring—not the best place to look for gas or oil if one believes they are derived from organic compounds, because granite forms from magma (molten rock) and contains no organic sediments. The ring was formed about 360 million years ago when a large meteorite hit the 600-million-year-old granite that forms the base of the continental crust. The impact fractured the granite, and the Swedes believe that if oil comes from the mantle, it could have risen with methane gas through this now permeable rock. Fueling their optimism further is the fact that prior to the start of drilling, methane gas had been detected rising through the granite.

1) Which one of the following statements best expresses the main idea of the passage?
(A) Although the new abiogenic theory about the origin of oil is derived from the conventional biogenic theory, it suggests new types of locations for oil drilling.
(B) The small number of drilling companies that have responded to the new abiogenic theory about the origin of oil reflects the minimal level of acceptance the theory has met with in the scientific community.
(C) Although the new abiogenic theory about the origin of oil fails to explain several enigmas about oil reservoirs, it is superior to the conventional biogenic theory.
(D) Although it has yet to receive either support or refutation by data gathered from a drilling project, the new abiogenic theory about the origin of oil offers a plausible alternative to the conventional biogenic theory.
(E) Having answered objections about higher pressures in the earth’s core, proponents of the new abiogenic theory have gained broad acceptance for their theory in the scientific community.

2) Which one of the following best describes the function of the third paragraph?
(A) It presents a view opposed to a theory and points out an internal contradiction in that opposing view.
(B) It describes a criticism of a theory and provides countervailing evidence to the criticism.
(C) It identifies a conflict between two views of a theory and revises both views.
(D) It explains an argument against a theory and shows it to be a valid criticism.
(E) It points out the correspondence between an argument against one theory and arguments against similar theories.

3) The passage suggests that the opponents of the abiogenic theory mentioned in the third paragraph would most probably agree with which one of the following statements?
(A) The formation of oil does not involve the condensation of hydrocarbons released from the earth’s mantle.
(B) Large oil reserves are often found in locations that contain small amounts of organic matter.
(C) The eruptive processes by which diamonds are brought to the earth’s surface are similar to those that aid in the formation of oil.
(D) Motions of the crustal plates often create the pressure necessary to transform organic matter into oil.
(E) The largest known oil reserves may have resulted from organic matter combining with heavier hydrocarbons carried by methane gas.

4) Which one of the following is most analogous to the situation described in the final paragraph?
(A) A new theory about the annual cycles of breeding and migration of the monarch butterfly has led scientists to look for similar patterns in other butterfly species.
(B) A new theory about the stage at which a star collapses into a black hole has led astronomers to search for evidence of black holes in parts of the universe where they had not previously searched.
(C) A new theory about how the emission of sulfur dioxide during coal-burning can be reduced has led several companies to develop desulfurization systems.
(D) A new theory about photosynthesis has convinced a research team to explore in new ways the various functions of the cell membrane in plant cells.
(E) A new theory about the distribution of metals in rock formations has convinced a silver-mining company to keep different types of records of its operations.

5) According to the passage all of the following are true of the Siljan Ring EXCEPT:
(A) It was formed from magma.
(B) It does not contain organic sediments.
(C) Its ring shape existed 500 million years ago.
(D) Methane gas has been detected rising through it.
(E) It was shaped from the granite that makes up the base of the continental crust.

In Aristophanes’ Lysistrata women are seen as the means of bringing peace and good sense to a wartorn world.

(A) as
(B) as if they are
(C) that they will be
(D) that they are
(E) for being

Beavers use twigs to construct dams. Different regional populations of beavers will use different techniques for constructing dams. Researchers studying beaver construction techniques have found that regional populations of beavers use different construction techniques. Researchers have concluded that these building techniques are culturally based rather than genetic. Which of the following, if true, would most strengthen the conclusion drawn by the researchers?

(A) Studies have shown that beavers are nearly as intelligent as dogs.
(B) Young beavers cannot build dams alone and carefully mimic how their parents build them.
(C) The dams built vary in their effectiveness in holding back water levels depending on a region’s rainfall level.
(D) Beaver populations are often located in mountainous regions that isolate population groups.
(E) The dam construction is primarily based on the water flow rates in specific regions

When catastrophe strikes, analysts typically blame some combination of powerful mechanisms. An earthquake is traced to an immense instability along a fault line; a stock market crash is blamed on the destabilizing effect of computer trading. These explanations may well be correct. But systems as large and complicated as the Earth’s crust or the stock market can break down not only under the force of a mighty blow but also at the drop of a pin. In a large interactive system, a minor event can start a chain reaction that leads to a catastrophe.

Traditionally, investigators have analyzed large interactive systems in the same way they analyze small orderly systems, mainly because the methods developed for small systems have proved so successful. They believed they could predict the behavior of a large interactive system by studying its elements separately and by analyzing its component mechanisms individually. For lack of a better theory, they assumed that in large interactive systems the response to a disturbance is proportional to that disturbance.
During the past few decades, however, it has become increasingly apparent that many large complicated systems do not yield to traditional analysis. Consequently, theorists have proposed a “theory of self-organized criticality”: many large interactive systems evolve naturally to a critical state in which a minor event starts a chain reaction that can affect any number of elements in the system. Although such systems produce more minor events than catastrophes, the mechanism that leads to minor events is the same one that leads to major events.

A deceptively simple system serves as a paradigm for self-organized criticality: a pile of sand. As sand is poured one grain at a time onto a flat disk, the grains at first stay close to the position where they land. Soon they rest on top of one another, creating a pile that has a gentle slope. Now and then, when the slope becomes too steep, the grains slide down, causing a small avalanche. The system reaches its critical state when the amount of sand added is balanced, on average, by the amount falling off the edge of the disk.

Now when a grain of sand is added, it can start an avalanche of any size, including a “catastrophic” event. Most of the time the grain will fall so that no avalanche occurs. By studying a specific area of the pile, one can even predict whether avalanches will occur there in the near future. To such a local observer, however, large avalanches would remain unpredictable because they are a consequence of the total history of the entire pile. No matter what the local dynamics are, catastrophic avalanches would persist at a relative frequency that cannot be altered: Criticality is a global property of the sandpile.

1) The passage provides support for all of the following generalizations about large interactive systems EXCEPT:
(A) They can evolve to a critical state.
(B) They do not always yield to traditional analysis.
(C) They make it impossible for observers to make any predictions about them.
(D) They are subject to the effects of chain reactions.
(E) They are subject to more minor events than major events.

2) According to the passage, the criticality of a sandpile is determined by the
(A) size of the grains of sand added to the sandpile
(B) number of grains of sand the sandpile contains
(C) rate at which sand is added to the sandpile
(D) shape of the surface on which the sandpile rests
(E) balance between the amount of sand added to and the amount lost from the sandpile

3) It can be inferred from the passage that the theory employed by the investigators mentioned in the second paragraph would lead one to predict that which one of the following would result from the addition of a grain of sand to a sandpile?
(A) The grain of sand would never cause anything more than a minor disturbance.
(B) The grain of sand would usually cause a minor disturbance, but would occasionally cause a small avalanche.
(C) The grain of sand would usually cause either minor disturbance or a small avalanche, but would occasionally cause a catastrophic event.
(D) The grain of sand would usually cause a catastrophic event, but would occasionally cause only a small avalanche or an event more minor disturbance.
(E) The grain of sand would invariably cause a catastrophic event.

4) Which one of the following best describes the organization of the passage?
(A) A traditional procedure is described and its application to common situations is endorsed: its shortcomings in certain rare but critical circumstances are then revealed.
(B) A common misconception is elaborated and its consequences are described a detailed example of one of these consequences is then given.
(C) A general principle is stated and supported by several examples; an exception to the rule is then considered and its importance evaluated.
(D) A number of seemingly unrelated events are categorized: the underlying processes that connect them are then detailed.
(E) A traditional method of analysis is discussed and the reasons for its adoption are explained; an alternative is then described and clarified by means of an example.

5) Which one of the following is most analogous to the method of analysis employed by the investigators mentioned in the second paragraph?
(A) A pollster gathers a sample of voter preferences and on the basis of this information makes a prediction about the outcome of an election.
(B) A historian examines the surviving documents detailing the history of a movement and from these documents reconstructs a chronology of the events that initiated the movement.
(C) A meteorologist measures the rainfall over a certain period of the year and from this data calculates the total annual rainfall for the region.
(D) A biologist observes the behavior of one species of insect and from these observations generalizes about the behavior of insects as a class.
(E) An engineer analyzes the stability of each structural element of a bridge and from these analyses draws a conclusion about the structural soundness of the bridge.

6) In the passage, the author is primarily concerned with
(A) arguing against the abandonment of a traditional approach
(B) describing the evolution of a radical theory
(C) reconciling conflicting points of view
(D) illustrating the superiority of a new theoretical approach
(E) advocating the reconsideration of an unfashionable explanation

The surface area of a square tabletop was changed so that one of the dimensions was reduced by 1 inch and the other dimension was increased by 2 inches. What was the surface area before these changes were made?

(1) After the changes were made, the surface area was 70 square inches.
(2) There was a 25 percent increase in one of the dimensions.

If n is a positive integer that is less than 10, what is the value of n?

(1) n is the tenth digit in the decimal representation of 1/n.
(2) n is the hundredth digit in the decimal representation of 1/n.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

Is xy > x2y2?

(1) 14×2 = 3

(2) y2 = 1

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

Color X ink is created by blending red, blue, green, and yellow inks in the ratio 6 : 5 : 2 : 2) What is the number of liters of green ink that was used to create a certain batch of color X ink?
(1) The amount of red ink used to create the batch is 2 liters more than the amount of blue ink used to create the batch.
(2) The batch consists of 30 liters of color X ink.

A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D) EACH statement ALONE is sufficient.
E) Statements (1) and (2) TOGETHER are NOT sufficient

According to a panel of health officials, there has been a great deal of confusion in the medical profession about whether obesity is a biological disorder posing serious health risks or a condition more related to appearance than to health.
(A) about whether obesity is a biological disorder posing serious health risks or a condition more related to appearance than to
(B) with respect to obesity being a biological disorder posing serious health risks or if it is related more to appearance than
(C) over whether or not obesity is a biological disorder posing serious health risks or it is a condition more related to appearance than to
(D) about obesity and if it is a biological disorder posing serious health risks or a condition related to appearance more than to
(E) concerning whether obesity is a biological disorder posing serious health risks or it is a condition related to appearance more than

I) If x is in S, then 1/x is in S.
II) If both x and y are in S, then so is x + y.

Is 3 in S?

(1) 1/3 is in S.
(2) 1 is in S.

A) Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
B) Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
C) Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
D) Each statement alone is sufficient to answer the question.
E) Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

if a and b are integers and a= l2-bl+lb+4l, does a equal 6 ?

1) b=-3
2) l2-bl

A) Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.

B) Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.

C) Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.

D) Each statement alone is sufficient to answer the question.

E) Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

A controversial figure throughout most of his public life, the Black leader Marcus Garvey advocated that some Blacks return to Africa, the land that, to him, symbolized the possibility of freedom.
A) that some Blacks return to Africa, the land that, to him, symbolized the possibility of freedom
B) that some Blacks return to the African land symbolizing the possibility of freedom to him
C) that some Blacks return to Africa which was the land which symbolized the possibility of freedom to him
D) some Black’s returning to Africa which was the land that to him symbolized the possibility of freedom
E) some Black’s return to the land symbolizing the possibility of freedom to him, Africa

Any tax relief received by the solar industry would not benefit the homeowner who installs a solar energy system. Even though homeowners would pay a lower price for solar-energy system installations because of this tax relief, with the government paying the balance, government revenues come from the public.

The argument above is based on which of the following assumptions?

(A) The tax relief would cause the homeowner to lose, through taxes or reduced government benefits or both, an amount at least equal to the reduction in the price of that home-owner’s solar-energy system installation.
(B) The tax relief that would be received by solar energy industries would not be offered at the same time as any tax relief for other industries.
(C) Advertisements of the solar-energy industry, by failing to identify the source of government revenues explicitly to the public, mask the advantage the industry receives from the public.
(D) Homeowners generally believe that they benefit from any tax relief offered to the solar-energy industry.
(E) Tax relief would encourage solar industries to sell solar-energy systems at higher prices.

Rather than continue to produce most of the items necessary for subsistence, a growing number of farm families during the first decades of the nineteenth century began to specialize in the production of grain or cotton and to use the cash proceeds from selling their crops for buying necessities.
(A) selling their crops for buying
(B) the sales of their crops for buying
(C) their selling of crops so as to buy
(D) their selling crops for buying of
(E) the sale of their crops to buy

Although all the proceedings of the Communist party conference held in Moscow were not carried live, Soviet audiences have seen a great deal of coverage.
(A) all the proceedings of the Communist party conference held in Moscow were not carried live
(B) all the Communist party conference’s Moscow proceedings were not carried live
(C) all the Communist party conference Moscow proceedings have not been carried alive
(D) not all the Communist party conference Moscow proceedings have been carried alive
(E) not all the proceedings of the Communist party conference held in Moscow were carried live