All questions of Day 24 for GMAT Exam

Let age of C = x .

Then, Age of B = 2x
Age of A = 2 + 2x
Total age of A,B and C =27

B's age =2x=2×5=10

Let the age of the youngest child = x
Then, the ages of 5 children can be written as x , ( x + 3 ) , ( x + 6 ) , ( x + 9 ) and ( x + 12 )
x + ( x + 3 ) + ( x + 6 ) + ( x + 9 ) + ( x + 12 ) = 50
⇒ 5 x + 30 = 50
⇒ 5 x = 20

Statement (1) says that the weight of Compound P is always three times the weight of Z.

If the weight of Compound P is always three times the weight of Z, we can set up an equation based on the given ratio:

5g of X : 15g of Y : zg of Z = 25g of X : yg of Y : 3zg of Z

Since the weight of Compound P is always three times the weight of Z, we have:

25g of X + yg of Y + 3zg of Z = 3zg of Z

This equation simplifies to:

25g of X + yg of Y = 2zg of Z

We can see that the equation only involves X, Y, and Z, which are the chemicals mentioned in the problem. Therefore, statement (1) alone is sufficient to answer the question.

Now, let's consider statement (2), which states that the weight of Z is always twice the weight of X.

If the weight of Z is always twice the weight of X, we can set up another equation based on the given ratio:

5g of X : 15g of Y : zg of Z = 25g of X : yg of Y : 2xg of X

Since the weight of Z is always twice the weight of X, we have:

25g of X + yg of Y + 2xg of X = zg of Z

This equation involves X, Y, and Z, which are the chemicals mentioned in the problem. Therefore, statement (2) alone is also sufficient to answer the question.

Both statement (1) and statement (2) individually provide enough information to determine the weight of Z that must be added to maintain the required overall proportion. Therefore, the correct answer is (D) EACH statement ALONE is sufficient to answer the question asked.

Ratio of the present age of Kiran and Syam = 5 : 4

Let present age of Kiran = 5x

Present age of Syam = 4x

After 3 years, ratio of their ages = 11/9

⇒ ( 5 x + 3 ) / ( 4 x + 3 ) = 11/ 9

⇒ 9 ( 5 x + 3 ) = 11 ( 4 x + 3 )

⇒ 45 x + 27 = 44 x + 33

⇒ x = 33 − 27 = 6

Syam's present age = 4 x = 4  x 6 = 24

You can learn tricks to solve Problems on ages through the document: 

Statement (1): The ingredients A, B, C, and D are in the ratio 10:5:4:2, respectively.
This statement provides the ratio of the ingredients but does not give us any specific quantities. Without knowing the actual quantities, we cannot determine the difference between the amounts of ingredient A and ingredient D. Therefore, statement (1) alone is not sufficient.

Statement (2): The amount (in grams) of ingredient B is 4 more than that of ingredient C.
This statement only provides information about ingredients B and C, but it does not mention anything about ingredients A or D. Without knowing the quantities of ingredients A and D, we cannot determine the difference between them. Hence, statement (2) alone is not sufficient.

Considering both statements together:
While statement (1) gives us the ratio of the ingredients, and statement (2) gives us information about ingredients B and C, we still don't have any specific quantities for ingredients A and D. Therefore, when we combine both statements, we still cannot determine the exact difference in grams between ingredient A and ingredient D. Thus, both statements together are not sufficient.

Therefore, the answer is option C: BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.

To solve this problem, let's analyze each statement:

Statement (1) provides the ratios of petrol and spirit in liquids A and B.

The ratio of petrol to spirit in liquid A is 2:3, and in liquid B, it is 3:4.

However, this statement alone does not provide any information about the composition or ratio of petrol and spirit in liquid C. Therefore, statement (1) alone is not sufficient to answer the question asked.

Now let's consider statement (2). It states that when 20 liters of A, 21 liters of B, and 27 liters of C are mixed, the resulting ratio of petrol to spirit is 29:39.

This statement provides information about the overall mixture of A, B, and C, but it does not specifically give the composition of liquid C. Therefore, statement (2) alone is not sufficient to answer the question asked.

Since neither statement alone is sufficient, let's analyze them together:

Combining both statements, we know the ratios of petrol and spirit in liquids A and B, as well as the overall mixture ratio when A, B, and C are mixed.

However, we still don't have any direct information about the composition or ratio of petrol and spirit in liquid C. Therefore, even when considering both statements together, we cannot determine the percent of petrol in liquid C.

Hence, the correct answer is (C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.

The argument concludes that "common medical problems such as depression" "will be all but eliminated through early identification and genetic therapy." This is based upon the assumption that the only cause of these common medical problems is a treatable genetic deformity. If this assumption proves false (and problems arise from non-genetic issues), the argument's conclusion is not logical as the genetic therapy would not stop common medical problems that were caused by non-genetic factors.

A. The original argument does not pertain to the number of treatments for common medical problems but rather pertains to the ability of early identification and genetic therapy to eliminate common medical problems. Consequently, whether there is only one method (the one described) or one million methods is irrelevant.
B. This answer points out that if common medical problems arise either in part or in whole for reasons that are not genetic, early genetic detection and therapy will not rectify the problem. The assumption that these common medical problems are based entirely on treatable genetic malformations is an essential part of the argument.
C. This may be a logical result (or consequence) if the original argument proves to be true. However, it is not a necessary assumption for the original argument to be true.
D. The original argument pertains to the ability of doctors to treat "common medical problems" when they exist not whether these "common medical problems" exist in everyone. Further, the original argument hinges on the assumption that these problems are rooted in genetic defects and treatable via genetic therapy.
D. The original argument pertains to common medical problems such as depression and not to "each human defect or sickness." Further, the original argument assumes that genetic therapy alone is sufficient to treat the problem while this answer simply states that all human defects or sickness can be traced in part to (and not necessarily treated by) genetics.

The paradox: After a government recall of some peanut butter, shoppers indicated that they would not change their peanut butter purchasing habits. However, same-store-sales of peanut butter subsequently fell dramatically.
A.This answer heightens the paradox by making the subsequent fall in sales of peanut butter even more unexplainable since a price cut would have stimulated sales (not provided an explanation for their decline).
B. This answer identifies a correct explanation for the paradox. With stores fearful about lawsuits, they removed peanut butter and consequently "same-store sales to customers fell."
C. Although a tabloid is a much less respected source than a leading newspaper, the fact still remains that the article appeared in a leading newspaper. Further, the source of the news does not explain the discrepancy between individuals' stated intent to continue purchasing peanut butter and the subsequent poor sales figures. If the tabloid as a source were a problem, it would only further increase the paradox over why sales declined (why would consumers seemingly base their decisions upon a tabloid).
D. When the individuals took the survey where they stated their intent to continue purchasing peanut butter, they knew about the op-ed piece as it appeared "days before the newspaper conducted its survey." Consequently, the op-ed cannot explain individuals' switch in behavior (i.e., intending to purchase peanut butter but then deciding not to).
E. The original argument notes that "the country's peanut butter manufacturers" (i.e., every manufacturer accounted for—not limited to the specific type of peanut butter recalled) reported a drop in sales. Although consumers' intention to change the type of jelly and bread they purchased could imply that consumers would change the type of peanut butter they purchased, it does not explain why sales would virtually stop altogether. There is a difference between changing the type of jelly purchased (and by correlation, the type of peanut butter purchased) and stopping purchasing jelly altogether (and by correlation, stopping purchasing peanut butter altogether).

The article draws a conclusion on the basis of the findings of a single study. However, the link between eating beets and cancer prevention cannot be verified without ruling out other variables. If the participants who ate beets were also similar in another way that distinguished them from the group that did not, it would become impossible to prove that beets - and not the other factor - were responsible for reducing the risk of cancer on the basis of this study alone.

A. The effectiveness of flax seed oil in reducing the risk of cancer has no bearing on the effectiveness of beets in doing so. This answer is off topic.
B. This answer strengthens, rather than weakens, the argument. If the subjects ate only beets and no other vegetables, there is more evidence for the fact that beets – and no other vegetable – were responsible for reducing the risk of cancer.
C. The study would be more convincing if it had been conducted in more than one city. However, this fact alone does not do the most to weaken the argument.
D. This other experiment is about the role of beets in the recovery rates of cancer patients, rather than in the risk of diagnosis. Therefore, it does not weaken the conclusion of the article, which focuses on cancer prevention, not recovery.
E. Because study participants who ate beets were also more likely to exercise regularly than those who did not eat beets, it is impossible to determine whether beets or regular exercise were more influential in preventing cancer. This is the correct answer.

The State Representatives' argument for banning smoking is based upon scientific research and the presence of a correlation between second-hand smoke and life expectancy. However, it could be strengthened if data existed to show that other regions that enacted tough anti-smoking reform experienced longer life spans. In other words, although we know there is a relationship between second-hand smoke and life expectancy, we do not know that enacting tough anti-smoking reform will influence second-hand smoke levels and thereby influence life expectancy.

A. The legislators' argument is about protecting people from second-hand smoke, not about taking one action versus another (i.e., the legislators are not comparing sources of toxin, but rather attempting to prevent one source from entering the air).
B. The question at hand does not pertain to the percent of the population that smokes but the ability of the law to extend life expectancy. This answer fails to make a connection between the proposed law and extending life expectancy.
C. Although the percent of the state population that smokes will affect the extent of the impact made by the law, it does not support the merits of the law in and of itself. In other words, the argument is not based upon the number or percent of the population that smokes (and by corollary the number and percent of the population affected by second-hand smoke). Rather, the argument is based upon a connection between removing second-hand smoke inhalation via legislation and lengthening life span. This answer provides no direct evidence to strengthen the link between removing second-hand smoke via legislation and lengthening lifespan.
D. The evidence that passing a similar law reduced cancer rates supports the legislators' case that banning smoking in many places will promote "length of lifespan" (i.e., with people dying of cancer less, they live longer).
E. The number of smokers in a nearby state does not influence whether banning second-hand smoke in the state in question will affect life expectancy. The large number of smokers up-stream will hurt air quality and length of life downstream (weakling the legislators' argument if it effected it at all). Fundamentally, this answer is wrong because it fails to strengthen the connection between removing second-hand smoke via legislation and lengthening life-expectancy.

Statement (1) says that by weight, the alloy is 3/7 lead and 5/14 copper.

From this information, we can determine the weight of tin in the alloy. Since the alloy is composed of lead, copper, and tin, the remaining weight after accounting for lead and copper would be the weight of tin.

Let's assign variables:
L = weight of lead
C = weight of copper
T = weight of tin

According to statement (1), the alloy is 3/7 lead and 5/14 copper. Therefore, we have the following equations:

L + C + T = total weight of the alloy (56 pounds in this case)
L = (3/7)(total weight of the alloy)
C = (5/14)(total weight of the alloy)

Using these equations, we can solve for the weight of tin, T.

From the given information, we can deduce that statement (1) alone is sufficient to determine the weight of tin in the alloy.

Therefore, the correct answer is (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

In answering this question, we must keep separate revenue and profit. Further, we must separate revenue from all other aspects of the business. It is important to keep in mind that MicroChip's efforts are aimed at increasing revenue so any assumption that does not pertain to revenue is almost certainly unnecessary.

A. This answer addresses "enabling the firm to survive in the long-term." However, the original argument deals with "an attempt to abate the pernicious decline in MicroChip's revenue." In other words, this answer deals with the ability of the firm to survive in the long-term and retain customers instead of addressing how the company will increase its revenue (which is different from the number of customers or the level of profitability). It is not necessary to make an assumption about long-term survival in order to make a conclusion about increasing revenue.
B. Even if there were other companies with lower prices, as long as the other companies do not further lower their prices, it will not affect MicroChip's ability to increase its demand and revenue. Further, the original argument only deals with MicroChip's attempt to increase its revenue. In other words, the original argument deals with MicroChip's ability to raise its revenue on absolute terms→not its ability to raise revenue more than rivals. It is not necessary to make an assumption about other firms' prices in order to make a conclusion about increasing MicroChip's revenue.
C. Although this would improve MicroChip's revenue, it is not a necessary assumption underlying MicroChip's strategy of offering a discount as the company did not need to offer a discount to increase revenue if it assumed the government would stimulate demand on its own. In other words, if MicroChip assumed the government would stimulate demand, MicroChip would not have offered a discount for the discount would not have been necessary.
D. This answer does not address an assumption that underlies increasing revenue, but rather legality. Further, the answer does not state that MicroChip's actions violate a law. Finally, even if the government pursued charges, this would not necessarily decrease revenue (although it would certainly decrease profit as MicroChip would incur legal fees etc.).
E. This answer contains the assumption that directly relates to MicroChip's attempt to increase its revenue. In order for the decrease in price to increase total revenue, the volume of sales must increase as total revenue equals price multiplied by volume.

The yield at a central Californian farm dropped significantly after 6 years of consistent growth. Clearly, something of importance to the yield changed. Some possibilities include: (1) a storm decimated the crop (although this level of storm could have only hit this year, as the crops grew "consistently and considerably over the past six years") (2) the farmer stopped using the technique (3) over a period of six years, the technique overused natural soil nutrients and drained important chemicals that the farm crops needed to grow.

A. The original argument pertains to a decline in the yield of the farm, not a decline in the buyers. The farm's yield has no relationship with the number of buyers as yield simply refers to the ratio of seeds planted to crops available for harvest.
B. Although this confirms that the drop the farm in central California experienced is not unique, it does not explain the drop in yield.
C. Since a drought occurred 9 years ago prior to the experimental system and during the experimental system (3 years ago) without any affect on yields, it is not logical to conclude that the drought caused the decline in yields this year. In other words, since the yield grew "consistently" even during the drought 3 years ago and 6 years ago, it is illogical to conclude that the drought caused the decline in yield this year.
D. The circumstances between the two experimental systems are too different to allow comparisons and a logical deduction that the errors of the Iowa system explain the errors of the central California system. Specifically: (1) the length of time before declines in yields occurred differed considerably (2) the crops the farm produced differed (3) the geographic region of the farm (and climate) differed considerably.
E. The sustained (6 years, "consistently") and significant ("considerably") expansion in productivity ("yield") led to exhaustion of nutrients, meaning crops could not attain the chemical compounds they needed to grow. This answer explains why the crop yield dropped after so many years and why it dropped after years of growth.

This question asks you to take the statements and draw a conclusion. One major trap in this type of question is an answer that is logical, but not supported by the statements in the stimulus.

A. The stimulus does not define what constitutes a well written story nor does it speak about what is a poorly written story. Consequently, it is difficult to make a statement like this that will logically follow from the stimulus.
B. Although this statement is probably true, it does not follow from the stimulus. Instead, the stimulus states that authors use an incompetent investigator to add complexity to the storyline (thereby making the reader's attempts to solve the case more challenging) not to show that investigations are complex.
C. While the stimulus states that stories "frequently" include an incompetent investigator who does not solve the case correctly, we cannot conclude an incompetent investigator "never" solves a case correctly.
D. This statement is quite similar to the final sentence of the stimulus and it logically follows from the stimulus. The statement that authors write in the way they do "to provide readers additional complexity and challenge in solving the investigation" provides the basis to conclude that authors write "to make predicting the correct outcome of the investigation more difficult."
E. Although this statement is probably true, there is no evidence of it in the stimulus. Instead, the stimulus indicates that the complexity is added not for its resemblance to real life but for its ability to increase the challenge posed to readers seeking to solve the case correctly.

Let present age of P and Q be 3x
and  4x  respectively.
Ten years ago, P was half of Q's age

Total of their present ages
=3x+4x=7x=7×5=35

Total age of all students 
= 22 × 21

Total age of all students + Age of the teacher  = 23 × 22

Let Sunil's present age = x

Then, father's present age = 3x + x = 4x

After 8 years, father's age = 2 half times Sunil's age.

=> (4x + 8) = 2(1/2)(x + 8)

=> 4x + 8 = (5/2)(x + 8)

=> 8x + 16 = 5x + 40

=> 3x = 40-16 = 24

=> x = 24/3 = 8

After 8 years,

Sunil's age = x + 8 + 8 = 24

Father's age = 4x + 8 + 8 = 48

Father's age/ Sunil's age = 48/24 = 2

You can learn tricks to solve Problems on Ages through the document: 

Let son's present age be x years. Then,

Son's age 5  years back = 19 − 5 = 14

Statement (1): 1.5 hours before they meet, they were 135 miles apart.
From this statement, we can calculate the rate at which Fanny and Alexander are closing the distance between them. In 1.5 hours, Fanny travels 1.5 * 25 = 37.5 miles, and Alexander travels 1.5 * x miles. The total distance they cover in 1.5 hours is 37.5 + 1.5x miles. Since they were 135 miles apart before this time, we can write the equation:

37.5 + 1.5x = 135

Simplifying the equation:

1.5x = 135 - 37.5
1.5x = 97.5
x = 97.5 / 1.5
x = 65

Therefore, statement (1) alone is sufficient to determine the value of x.

Statement (2): y = 360 miles.
This statement provides the initial distance between Fanny and Alexander, but it doesn't give us any information about their rates or the time it takes for them to meet. Without the rate at which they are traveling, we cannot determine the value of x. Therefore, statement (2) alone is not sufficient to determine the value of x.

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

1. Let's assume x employees contributed $20 and y contributed $25 then as per the stem 20x + 25y = 250 
2. We can simplify this equation to 4x + 5y = 50 by multiplying both sides with 1/5
3. The question asks us to determine value of x 

Statement-I: The number of employees in the office is 11 (Sufficient)
This states that x + y = 11. Now we have two equations and two unknowns hence we can solve the equations to get the values of x

Statement-II: The number of employees who gave $25 was 1 more than the number of employees who gave $20 (Sufficient)
This states that y = x + 1. Again we have two equations and two unknowns hence we can solve the equations to get the values of x 

E-News argues that its subscription service will eliminate the presence of all ads for individuals attempting to read the news. The advertisement implies that this is appealing to news readers since it saves them time. However, there are possible problems with this argument. For example, if E-News partnered with other online content providers, who themselves served up ads, the user would not truly avoid advertisements and would still waste time "seeing and ignoring advertisements while attempting to read."

A. This answer pertains to enjoying reading a news website while the original argument centers on avoiding the "wasted time" that comes from seeing and ignoring advertisements.
B. The original argument centers around "wasted time" not volume of content. Consequently, this answer weakens a point (volume of content) that serves as no support or justification for the original argument (which is based upon "wasted time").
C. Since users of E-News will not be able to entirely (or perhaps even considerably) "eliminate wasted time that results from seeing and ignoring advertisements" since these ads will be part of the online newspaper reading experience through the content network, the argument that users should sign up in order "to eliminate" ads is weakened.
D. This answer does not weaken the crux of the original argument (i.e., avoiding ads eliminates "wasted time"). The original argument is not weakened, it is simply deemed irrelevant to a certain portion of the country.
E. This does not weaken the argument about the user's experience and ability to save time with E-News. The original argument pertains to signing up with E-News in order to save time and this answer does not pertain to signing up with E-News.

The paradox: Northern Canada is quite cold and yet skeletal remains show evidence of experiencing very hot temperatures. This paradox could be explained by finding evidence that fires regularly occurred that would have subjected the bones to excruciatingly hot temperatures. If evidence existed that early humans from this time period hunted animals and started fires (implicitly for the purpose of cooking the animals--thereby creating skeletons of animals that experienced hot temperatures), a large step in explaining the paradox would be taken.

A. Unraveling the paradox depends on providing an explanation of how the skeletal remains experienced such hot temperatures yet this answer only heightens the paradox as it provides evidence that the skeletons' environment was much colder (not warmer) many years ago.
B. Although this provides an explanation of how "exactly one north Canadian species'" skeletons showed evidence of exposure to hot temperatures, it fails to account for why "many species from differing biological families [that] spanned about two thousand years showed" the same evidence of exposure to hot temperatures.
C. This answer provides an explanation for skeletons showing evidence of experiencing hot temperatures. However, this answer does not explain why this evidence appeared among skeletons whose date "spanned about two thousand years." Further, the fire occurred "a little over 103,000 years ago" while the original argument makes clear that some of the skeletons which showed evidence of experiencing hot temperatures dated after this fire (i.e., the skeletons were from 100,000 years ago and "spanned about two thousand years" while the fire occurred "over 103,000 years ago").
D. The paradox exists in skeletons dating back to 100,000 years ago. Consequently, explaining how a fire (and thus hot temperatures) could have existed "as early as 70,000 years ago" does not explain the paradox. In other words, this answer does not explain how the skeletons of animals 100,000 years old experienced hot temperatures (although it would explain how skeletons 70,000 years old experienced hot temperatures).
E. While this answer does not prove what caused the chared skeletal remains, it "best explains" how the skeletons experienced hot temperatures (i.e., the hunters cut wood and, implied in this, they started fires to cook animals).

Firm management believes that flex-time will help meet three goals: (1) decrease total costs (2) increase productivity (3) improve product quality.

If the firm's research work requires considerable in-person collaboration, three hours a day of time together will not be sufficient and the firm's plan will lead to decreases in productivity and product quality. This will weaken the management's argument since its plan will not achieve two of its three goals.

A. The presence of new costs associated with flex-time does not weaken the argument that flex-time will decrease total cost as it may well be the case that cost savings outweigh cost increases. In other words, this answer only deals with one side of the equation (cost increases) and not the other side (cost decreases). Consequently, the answer does not enable us to conclude that the argument is weakened since it is entirely possible that on balance, costs will be reduced.
B. Since the firm abandoned it for "unknown reasons," we cannot make a conclusion about the affect of flex-time on costs, productivity, and product quality. It is entirely possible that the competitor abandoned flex-time for reasons not related to these three reasons and, therefore, for reasons not relevant to the argument of the management of the boutique research firm.
C. Since the firm in question performs work that requires frequent and in-person collaboration, it is reasonable to infer that cutting the time spent together at work down from 9 to 3 hours will have a considerable affect on productivity and quality as workers will have severely restricted access to a crucial component of their work (i.e., co-workers).
D. This answer strengthens the argument instead of weakening it. Further, using one employee's situation as an example is not the best grounds to critique an argument.
E. The duration of the project (in and of itself) has nothing to do with costs, productivity, or product quality. Given the information in the question and in this answer, an argument could be made that flex-time will increase quality (employees enjoy their work more with flex-time and work harder).

Statement (1) says that last season, The New York Yankees played 160 games.

Knowing the number of games played is helpful, but it does not provide any information about the number of runs scored in each game. Without this information, we cannot determine the average number of runs per game. Therefore, statement (1) alone is not sufficient to answer the question.

Statement (2) provides information about the number of runs scored per game in different fractions of their games.

According to statement (2), the Yankees scored four runs per game in exactly 1/5 of their games, five runs per game in exactly 3/4 of their games, and nine runs per game in exactly 1/20th of their games.

This statement gives us the distribution of runs per game in terms of fractions, but it does not provide the actual number of games in each category. Without knowing the number of games falling into each category, we cannot calculate the average number of runs per game. Therefore, statement (2) alone is not sufficient to answer the question.

Combining both statements, we know that the Yankees played 160 games (from statement 1) and we have information about the distribution of runs per game in terms of fractions (from statement 2). However, we still do not have the specific number of games falling into each category. Without this information, we cannot determine the average number of runs per game.

Hence, the correct answer is (B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

The Argument of Net Neutrality Supporters: No Net Neutrality means one group gets penalized for another group's choice (i.e., high-bandwidth users get relegated to another lane that becomes slower due to congestion).
A. This answer does not undermine the fact that one group is being penalized for the actions of another group nor does it show how the argument is flawed. Simply because one group is required to use high-bandwidth services does not mean they (or another group) are being penalized for this requirement.
B. This answer uses the principle that supporters of Net Neutrality used and shows how the principle can also be used to argue against Net Neutrality, thereby seriously weakening the supporters' argument. The cost of purchasing additional and expensive bandwidth will be passed on to low-bandwidth customers, "disproportionately increasing the price of access for low-bandwidth users." In other words, the actions of one group (high bandwidth users benefiting from Net Neutrality) will harm another group (low bandwidth users who carry a disproportionate burden of the cost of Net Neutrality).
C. This answer may strengthen the overall public support for Net Neutrality (i.e., it is opposed by lobbyists paid for by big telecommunications firms). This answer does not weaken the argument mentioned above since that argument is based upon one group suffering for the actions of another.
D. Although this answer weakens the overall argument in support of Net Neutrality, it does not weaken the argument mentioned above since that argument is based upon one group suffering for the actions of another while the argument in this answer choice is based upon satisfaction among Internet users.
E. This answer actually strengthens not weakens the argument in favor of implementing Net Neutrality.

The government experts concluded that "private firms posed the biggest risk to successful government espionage" and they supported this conclusion by assuming that the unbreakable encryption algorithm in emails came from the private security firms, which had just begun selling encryption algorithms. In order to weaken the conclusion of the government experts, you need to find evidence supporting the belief that the unbreakable algorithm did not come from the private security firms but from another source (such as free open-source developers).

A. This answer strengthens the conclusion of the government experts by bolstering the claim that the products developed by the private security firms were very difficult to break→and this was the fear of some government experts.
This answer does not state that the "other members of the private sector and academia" broke the encryption algorithm and we cannot assume this. If this were true, the algorithm would not be as strong as the government experts suspected and it would almost certainly not be "encryption algorithm that government experts could not break."
B. This answer undermines the government experts' conclusion that the private security firms posed "the biggest risk" as ex-government code breakers admitted that a public-sector open-source freely-available product posed the most difficulty in breaking.
C. This answer is not relevant since a foreign government's ability to infiltrate an espionage operation is not related to the conclusion that the difficulty experienced in breaking email encryption occurred because of products released by private telecommunications companies. Further, this answer provides no basis to conclude or even assume that the private security firms were not the source of the unbreakable algorithm.
D. The publication of information about the strength and benefit of the privately-developed encryption algorithms would not disprove that private security firms were behind the difficult to break email encryption algorithm experienced by the government.

The conclusion to the argument is that "when the industry completes its transition to the new cork, there will no longer be any threat to landfills from red wine corks." The conclusion omits an important fact: even after manufacturers stop making the old wine corks, there will still be thousands of old bottles in circulation. Individuals who purchased red wine bottles years ago will consume them and discard the old corks in landfills, thereby continuing to pollute landfills. Consequently, we cannot conclude that "there will no longer be any threat to landfills from red wine corks."
A. The timing of the industry's transition is irrelevant due to the qualifier in the conclusion: "when the industry completes its transition to the new cork."
B. This statement properly identifies a weakness in the conclusion.
C. The time taken to produce a cork does not impact matters of pollution.
D. At first glance, this answer has some appeal. However, the conclusion relates to pollution in a landfill--not fumes omitted into the air during production.
E. The cost to produce the new cork is not pertinent in a consideration of landfill pollution.

Due to the question being asked, the correct answer must follow closely from the statements in the stimulus. An answer that intuitively appears correct yet fails to follow closely from the statements in the stimulus is incorrect.

A. This answer snags a significant number of test takers. However, it is wrong because it draws too broad of a conclusion. The stimulus never indicates that "all" wavelengths that damage the eyes of animals are blocked by a healthy ozone layer. Further, notice the words "which enables more." The word "more" seems to indicate that a healthy ozone enables some wavelengths to pass through.
B. The fact that the decay in the ozone layer is believed to cause permanent eye damage in some animals does not mean other animals do not experience damage. Similarly, a decay of the ozone layer does not mean that wavelengths are entirely unfiltered. It simply means that less filtering of light exists.
C. The location of the animals that are damaged is never discussed and has no relevancy on the issue at hand.
D. Although this statement is true, it is not the main (or even a main) point of the argument. Similarly, the word "severe" is too strong and not supported by the statements in the stimulus.
E. This statement captures the main argument from the stimulus. Further, it is a near rephrase of "which enables some harmful wavelengths of light to reach the earth's surface."

Let Ayisha's present age = x
Then, her father's age = 6 x
Given that Ayisha's father's age will be twice Shankar's age after 10 years. Therefore, Shankar's age after 10 years

Also given that Shankar's eight birthdays was celebrated two years before. Therefore, Shankar's age after 10 years = 8 + 12 = 20

Therefore, Ayisha's present age =5 years

Statement (1) says that Solution X comprises 3/4 of the combined solution.

This means that the ratio of Solution X to the combined solution is 3:4. However, it does not provide any specific information about the amount of Solution Y or the total volume of the combined solution. Without the quantity of Solution Y, we cannot determine the amount of Solution Y in the new combined solution. Therefore, statement (1) alone is not sufficient to answer the question.

Statement (2) states that the combined solution is 16 liters.

This statement provides the total volume of the combined solution. However, it does not provide any information about the composition of the solution or the ratio of Solution X to Solution Y. Without knowing the ratio of Solution X to Solution Y, we cannot determine the amount of Solution Y in the new combined solution. Therefore, statement (2) alone is not sufficient to answer the question.

Combining both statements, we know that Solution X comprises 3/4 of the combined solution, and the total volume of the combined solution is 16 liters. However, we still do not have any specific information about the amount of Solution Y or the ratio of Solution X to Solution Y. Therefore, even when considering both statements together, we cannot determine the amount of Solution Y in the new combined solution.

Hence, the correct answer is (B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

If the political party's belief about the source of its public image is correct (i.e., "it is stereotyped simply because" [i.e., only because] of its position on military action and carbon emissions), any other political party that holds these two views (or more extreme versions of them) will have the same public image (or worse). If it can be shown that another political party hold these same two views (or views citizens consider more extreme) and yet this other party is popular, the argument is weakened. Note that the citizens do not consider the 50% carbon reduction extreme because they view it as too small but because they view it as too large (i.e., "a cut far more severe than most citizens want").

A. In order to undermine the original argument, we must show that a popular party supports both preemptive war and 50+% reductions in carbon emissions. It could be that the electorate will tolerate preemptive war, unless it is accompanied by large carbon cuts—in which case the public cannot tolerate the political party anymore.
B. This answer provides information that is not relevant to the country in question. Although we might be tempted to believe that the attack on the neighboring country changed the attitudes toward preemptive war among citizens of the country in question, we cannot make this assumption, especially since the original question explicitly states that preemptive war "is unpopular" among the despised party's constituents. Further, this does not directly address the carbon reduction issue.
C. This answer shows that a party that is even more extreme on the two issues in question is popular. Consequently, it cannot "simply" be the unpopular party's stance on these two issues that causes the poor public image. Note as well that "unilateral attacks to defend the homeland" include preemptive attacks.
D. The original question implies that the party with a bad public image is unpopular because of its stance against preemptive military action and for environmentalism. If anything, this answer strengthens the original argument instead of weakening it since it provides some evidence that the party's positions on these two issues are a source of unpopularity.
E. This answer only deals with the "preemptive military action" and not the reduction in carbon emissions. Since the original argument depends "simply" (i.e., only) on these two issues and yet this answer only addresses one (and it addresses the one issue by referring back to 20 years ago, when the electorate and country no doubt were much different), this answer does not seriously weaken the original argument.

The conclusion of the commentator's argument is: "It is essential that the government loosen its control on the media."

To see this, consider the points that the author makes:
(1) political and journalistic freedom are essential for democracy
(2) society is strengthened by many views being expressed
(3) our government stifles free speech
(4) government must loosen speech controls
(5) loosening control of the media leads to long-term strength
A. Although this statement is true, it is a premise not a conclusion. It is because the government is exercising too much control that "it is essential that the government loosen its control on the media."
B. This is a paraphrase of the conclusion. Every other sentence or major idea in the argument serves as a premise to this statement, which is the conclusion or main point of the author's argument.
C. This mirrors the first sentence of the paragraph. However, it functions as a premise not as a conclusion. It is because democracy requires a free press that "it is essential that the government loosen its control on the media."
D. Although this is similar to the last sentence of the paragraph, it is not the conclusion. The line of reasoning in the paragraph is:
democracy → long term health → government must open press
The reasoning is NOT:
government must open press → democracy → long term health (it makes no sense to say that since the government must open the press, therefore we will have long term health)
Moreover, the last sentence deals with the health of the country, not the strength of the government.
E. Although this is true, it is not the main thrust of the argument. The author is not trying to make this point. Instead, he is granting that this is true and then trying to argue that the government needs to open the press.

The political commentator's argument is: "tax cuts will not help the country escape from its current economic troubles." The commentator's evidence for this is the failure of the past administration's tax cuts to prevent the economic recession.

A. This answer identifies that the argument illogically compares apples and oranges (i.e., it compares entirely different types of tax cuts). It is not reasonable to assume that capital gains tax cuts for the ultra-rich will have the same effect as cuts on salary taxes.
B. This answer does not weaken the political commentator's argument since the tax cuts referred to occurred under such radically different circumstances. Further, this answer simply states that tax cuts "helped stem" a recession while the commentator states that tax cuts will "help the country escape" from a recession. Simply helping stem (or slow down) a recession is considerably different (and less impressive) than actually turning around an entire economy in recession.
C. This answer notes that a piece of legislation is widely considered essential to escaping the current recession. However, it does not break down what in the legislation is considered essential (is it tax cuts alone, in which case the commentator's argument is undermined—or is it government spending alone, in which case the commentator's argument is strengthened—or is it both). Without more information, it is impossible to ascertain whether the economists feel the tax cuts currently being proposed will be simulative, anti-simulative, or neither.
D. The political commentator's argument pertains to the tax cuts ability to "help the country escape from its current economic troubles" not the tax cut's effect on the government deficit. Consequently, the effect on the deficit has no bearing on the argument about tax cuts and economic recovery.
E. This answer explicitly states that the campaign contained "many deceptive" political attacks and arguments. Consequently, the credibility of the governor's claim is severely questioned. Further, even if the governor's comments were true, we cannot conclude that the correlation between his state's prosperity and his tax proposals also has a causal relationship (i.e., we cannot conclude that the governor's philosophy of tax cuts caused the state to be prosperous). In other words, correlation does not imply causation. Further, the macroeconomic dynamics of a state are different than the macroeconomic dynamics of a country.

Let the age before 10 years =x. Then,

Present age = x+10=40+10=50