Editor: The city’s previous recycling program, which featured pickup of recyclables every other week, was too costly. The city claims that its new program, which features weekly pickup, will be more cost effective, since the greater the volume of recyclables collected per year, the more revenue the city gains from selling the recyclables. But this is absurd. People will put out the same volume of recyclables overall; it will just be spread out over a greater number of pickups.

Summarize Argument
The editor concludes that the city’s claim about its new recycling program are absurd. This is because the same overall volume of recyclables will be collected, just over a greater number of collections.

Notable Assumptions
For the city’s claim to be absurd, the editor must assume that there could be no other benefits to the new collection schedule besides increasing the overall volume of recyclables collected. Since that volume will stay the same, the editor can’t see how the collection cycle could possibly be beneficial.

A
The cost of collecting and disposing of general trash has been less than the cost of collecting and disposing of recyclables, and this is still likely to be the case under the new recycling program.
We don’t care about general trash. We need to know whether the new recycling program will live up to the city’s claim.
B
Even if the volume of collected recyclables increases, that increase might not be enough to make the recycling program cost effective.
The city never claims the program will hit some arbitrary threshold of “cost effective.” It simply claims the program will be more cost effective.
C
Because the volume of recyclables people accumulate during a week is less than what they accumulate during two weeks, the city expects a recyclables pickup to take less time under the new program.
While a pickup will take less time, we have no idea how long two pickups every two weeks will take versus one pickup every two weeks. The author’s argument remains intact if those two pickups together take as long, or longer, than the single biweekly pickup.
D
A weekly schedule for recyclables pickup is substantially easier for people to follow and adhere to than is a schedule of pickups every other week.
While the overall volume will stay the same, people are more likely to put out their recyclables on a weekly schedule. Thus, the city will collect and sell more recyclables than before.
E
Because of the increase in the number of pickups under the new program, the amount charged by the contractor that collects the city’s recyclables will increase significantly.
This strengthens the author’s argument. The new recycling program won’t just be the same as before—it’ll be even more expensive.

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At a large elementary school researchers studied a small group of children who successfully completed an experimental program in which they learned to play chess. The study found that most of the children who completed the program soon showed a significant increase in achievement levels in all of their schoolwork. Thus, it is likely that the reasoning power and spatial intuition exercised in chess-playing also contribute to achievement in many other areas of intellectual activity.

Summarize Argument: Phenomenon-Hypothesis
The author concludes that the reasoning power and spatial intuition exercised in chess-playing likely can cause improvement in other intellectual activities. This is based on a study of a group of children who completed a program involving learning how to play chess. Most of the children who completed the program showed a large increase in schoolwork achievement.

Notable Assumptions
The author assumes that the students’ chess-playing causally contributed to their improved schoolwork achievement. The author also assumes a particular causal mechanism — that it was the reasoning power and spatial intuition exercised by chess that improved the children’s schoolwork achievement.

A
Some students who did not participate in the chess program had learned to play chess at home.
And did these students experience an improvement in schoolwork achievement? If we don’t know this, (A) has no impact.
B
Those children who began the program but who did not successfully complete it had lower preprogram levels of achievement than did those who eventually did successfully complete the program.
Pre-program levels of achievement are irrelevant, since the author never compared the absolute achievement levels of the students who completed the program to those of the students who didn’t. We still know the program-completers increased their achievement after the program.
C
Many of the children who completed the program subsequently sought membership on a school chess team that required a high grade average for membership.
This suggests a potential alternate hypothesis for the increase in achievement levels observed in the study. If many of the children wanted to join a team that required a high grade average, that could have motivated these students to do better on their schoolwork.
D
Some students who did not participate in the chess program participated instead in after-school study sessions that helped them reach much higher levels of achievement in the year after they attended the sessions.
The author never assumed that chess is the only activity that can improve student achievement. And, since we have no reason to think that the students who completed the chess program attended the sessions described in (D), this answer has no impact.
E
At least some of the students who did not successfully complete the program were nevertheless more talented chess players than some of the students who did complete the program.
We don’t know whether the students described in (E) experienced an increase in achievement levels. In addition, varyling levels of chess talent don’t necessarily impact the level of reasoning power or spatial intuition exercised during chess.

56 comments

Researchers working in Western Australia have discovered the oldest fragments of the Earth’s early crust that have yet been identified: microdiamonds. These microscopic crystals measure only 50 microns across and were formed 4.2 billion years ago. This discovery sheds light on how long it took for the Earth’s crust to form, since this date is only 300 million years after the formation of the Earth itself.

Summary

Western Australian researchers have discovered microdiamonds, the oldest fragments of the Earth’s early crust yet identified. These microscopic crystals were formed 4.2 billion years ago, only 300 million years after the formation of the Earth itself. This discovery sheds light on how long it took for Earth’s crust to form.

Notable Valid Inferences

Earth’s crust did not take longer than 300 million years to begin to form.

A
The Earth’s crust took no longer than 300 million years to start to form.

Must be true. We know this because the microdiamonds researchers found were part of the Earth’s early crust. If the microdiamonds existed 300 million years after Earth itself was formed, then Earth’s crust must have taken no longer than 300 million years to begin to form.

B
The Earth’s crust first formed in the area that is now Western Australia.

Could be false. To claim this is where the Earth’s crust first formed is too extreme. We only know that the microdiamonds the researchers found are the oldest fragments to be found to date. It is possible there exists older fragments that have not yet been found.

C
The Earth’s crust took billions of years to form.

Must be false. We know the microdiamonds the researchers found were part of Earth’s early crust, and these existed only 300 million years after the formation of Earth.

D
Microdiamonds were the first components of the Earth’s crust to form.

Could be false. To claim microdiamonds were the first components is too extreme. We only know that they are the oldest fragments identified to date. It is possible that older fragments exist that have not yet been identified.

E
All naturally occurring microdiamonds were formed at the time the Earth’s crust was being formed.

Could be false. To claim all microdiamonds were formed at this time is too extreme. It is possible that there are other naturally occurring microdiamonds that formed after the ones the researchers identified.


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