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11 Jun 2022, 16:30
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E
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Difficulty:
45%
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Question Stats:
65% (01:33) correct
35%
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wrong
based on 248
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Did the quantity of bacteria in an experiment increase by at least 15% from 1922 to 1937?
(1) The quantity of bacteria increased each year by the same percent each year from 1922 to 1937
(2) The quantity of bacteria increased by at most 1 percent each year from 1922 to 1937.
Are You Up For the Challenge: 700 Level Questions
(1) The quantity of bacteria increased each year by the same percent each year from 1922 to 1937
(2) The quantity of bacteria increased by at most 1 percent each year from 1922 to 1937.
Are You Up For the Challenge: 700 Level Questions
12 Jun 2022, 02:25
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Trying to explain how I thought about this in a clear way!
Beginning with statement 1 - This does not say much at all. The percentage point could be 1%, 2% or anything else, thus, insufficient.
Looking at statement 2 - I assume the fallacy would be the following: 1%*15=15%, and thus, one believes that the statement can be answered. Everything under 1%, one would take the largest number that is still lesser than 1%, 0.99%. Then, one might assume 0.99%*15, which still is <15%.
However, that is not the way percentages work. Instead, percentages accumulate and 1.0099^15 would end up roughly over >15%. Add in some 1,01 there, and it would be even slightly higher. The phrasing "at most" here, makes the statement insufficient. One year, it could be 0,1%, one year, 1%. Thus, it is impossible to know HOW it accumulates and if it would be AT LEAST 15%.
Hope this made some sense - totally new to this, and math is my weaker side!
Beginning with statement 1 - This does not say much at all. The percentage point could be 1%, 2% or anything else, thus, insufficient.
Looking at statement 2 - I assume the fallacy would be the following: 1%*15=15%, and thus, one believes that the statement can be answered. Everything under 1%, one would take the largest number that is still lesser than 1%, 0.99%. Then, one might assume 0.99%*15, which still is <15%.
However, that is not the way percentages work. Instead, percentages accumulate and 1.0099^15 would end up roughly over >15%. Add in some 1,01 there, and it would be even slightly higher. The phrasing "at most" here, makes the statement insufficient. One year, it could be 0,1%, one year, 1%. Thus, it is impossible to know HOW it accumulates and if it would be AT LEAST 15%.
Hope this made some sense - totally new to this, and math is my weaker side!
13 Jun 2022, 03:19
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This can be approached logically, not much number crunching to do here.
We need to answer - whether the quantity of bacteria increased by at least 15% (i.e. 15% or more)
Statement 1 - The quantity of bacteria increased each year by the same percent each year from 1922 to 1937. This increase can be anything, 1%, 10% or even 50% each year. Hence, this statement by itself is insufficient.
Statement 2 - The quantity of bacteria increased by at most 1 percent each year from 1922 to 1937. We know the maximum % increase each year, but we do not know the lower limit, can be 0.1% in one year/all years. Hence, this statement is insufficient.
Combining both statements doesn't help either. Answer choice is (E).
We need to answer - whether the quantity of bacteria increased by at least 15% (i.e. 15% or more)
Statement 1 - The quantity of bacteria increased each year by the same percent each year from 1922 to 1937. This increase can be anything, 1%, 10% or even 50% each year. Hence, this statement by itself is insufficient.
Statement 2 - The quantity of bacteria increased by at most 1 percent each year from 1922 to 1937. We know the maximum % increase each year, but we do not know the lower limit, can be 0.1% in one year/all years. Hence, this statement is insufficient.
Combining both statements doesn't help either. Answer choice is (E).
