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# Beginning in 1997, high school seniors in State Q have been

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Beginning in 1997, high school seniors in State Q have been [#permalink]

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22 Oct 2011, 13:26
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Beginning in 1997, high school seniors in State Q have been required to pass a comprehensive proficiency exam before they are allowed to graduate. The exam requirement was intended to ensure that a minimum level of academic quality will be achieved by the students in the state. In 1997, 20 percent of the seniors did not pass the exam and were, therefore, not allowed to graduate. In 1998, the number of seniors who passed the exam decreased by 10% from the previous year.

The argument above, if true, LEAST supports which of the following statement.

A. If the percentage of high school seniors who passed the exam increased from 1997 to 1998 , the number of high schools seniors decreased during that time period.
B. If the percentage of high school seniors who passed the exam decreased from 1997 to 1998 , the number of high schools seniors increased during that time period.
C. Unless the number of high school seniors was lower in 1998 than in 1997, the number of seniors who passed the exam in 1998 was lower than 80 percent.
D. If the number of high school seniors who did not pass the exam decreased by more than 10 percent from 1997 to 1998, the percentage of high school seniors who passed the exam in 1998 was greater than 80 percent.
E. If the percentage of high school seniors who passed the exam in 1998 was less than 70 percent, the number of high school seniors in 1997 was higher than the number in 1998.

Please provide an explanation with actual numbers.
[Reveal] Spoiler: OA
If you have any questions
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Re: Beginning in 1997, high school seniors in State Q have been [#permalink]

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24 Oct 2011, 05:27
can you please post OE for the question ?
Thanks,
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29 Oct 2011, 10:28
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Can anyone explain the choices in detail how they are wrong
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Re: Beginning in 1997, high school seniors in State Q have been [#permalink]

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30 Oct 2011, 10:08
Beginning in 1997, high school seniors in State Q have been required to pass a comprehensive proficiency exam before they are allowed to graduate. The exam requirement was intended to ensure that a minimum level of academic quality will be achieved by the students in the state. In 1997, 20 percent of the seniors did not pass the exam and were, therefore, not allowed to graduate. In 1998, the number of seniors who passed the exam decreased by 10% from the previous year.

The argument above, if true, LEAST supports which of the following statement.

A. If the percentage of high school seniors who passed the exam increased from 1997 to 1998 , the number of high schools seniors decreased during that time period.
B. If the percentage of high school seniors who passed the exam decreased from 1997 to 1998 , the number of high schools seniors increased during that time period.
C. Unless the number of high school seniors was lower in 1998 than in 1997, the number of seniors who passed the exam in 1998 was lower than 80 percent.
D. If the number of high school seniors who did not pass the exam decreased by more than 10 percent from 1997 to 1998, the percentage of high school seniors who passed the exam in 1998 was greater than 80 percent.
E. If the percentage of high school seniors who passed the exam in 1998 was less than 70 percent, the number of high school seniors in 1997 was higher than the number in 1998.

Please provide an explanation with actual numbers.

OA:
[Reveal] Spoiler:
B

Needs some explanation
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Re: Beginning in 1997, high school seniors in State Q have been [#permalink]

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30 Oct 2011, 21:01
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The answer is straight B. !
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Re: Beginning in 1997, high school seniors in State Q have been [#permalink]

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31 Oct 2011, 08:24
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Wow. This is tough. Can someone explain this in detail?
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Re: Beginning in 1997, high school seniors in State Q have been [#permalink]

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31 Oct 2011, 09:12
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This is a tough one but i'll share my 2 cents.

1997 - 80% pass/ 20% fail.
1998 - 72% pass/ 28% fail. (becasue the number of seniors who passed the exam decreased by 10% from 1997)

After reading options we can observe that only option (B) talks inline with the facts - If the percentage of high school seniors who passed the exam decreased from 1997 to 1998. Rest all talks weird/inconsistent number or percentage.

Let me know your thoughts. Cheers!
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Re: Beginning in 1997, high school seniors in State Q have been [#permalink]

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04 Nov 2011, 22:50
B
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Re: Beginning in 1997, high school seniors in State Q have been [#permalink]

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13 Dec 2011, 05:41
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Tough one. I make the mistake for A. A and B really contradict. So, the smart approach is to critical thinking between these two options.
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Re: Beginning in 1997, high school seniors in State Q have been [#permalink]

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13 Dec 2011, 09:36
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Beginning in 1997, high school seniors in State Q have been required to pass a comprehensive proficiency exam before they are allowed to graduate. The exam requirement was intended to ensure that a minimum level of academic quality will be achieved by the students in the state. In 1997, 20 percent of the seniors did not pass the exam and were, therefore, not allowed to graduate. In 1998, the number of seniors who passed the exam decreased by 10% from the previous year.

The argument above, if true, LEAST supports which of the following statement.

A. If the percentage of high school seniors who passed the exam increased from 1997 to 1998 , the number of high schools seniors decreased during that time period.
B. If the percentage of high school seniors who passed the exam decreased from 1997 to 1998 , the number of high schools seniors increased during that time period.
C. Unless the number of high school seniors was lower in 1998 than in 1997, the number of seniors who passed the exam in 1998 was lower than 80 percent.
D. If the number of high school seniors who did not pass the exam decreased by more than 10 percent from 1997 to 1998, the percentage of high school seniors who passed the exam in 1998 was greater than 80 percent.
E. If the percentage of high school seniors who passed the exam in 1998 was less than 70 percent, the number of high school seniors in 1997 was higher than the number in 1998.

Please provide an explanation with actual numbers.

OA:
[Reveal] Spoiler:
B

1997 80% passed, 20% failed
1998 number who passed decreased by 10% from number who passed in 1997
Both in 1997 and 1998 we don't know what was the number of students.

Lets start by taking a number for 1997, say 100 students appeared and 80 passed, 20 failed.
In 1998, we 'll have 10% fewer passing than 1997, so 72 passed the exam.

Now, lets look at the choices.
A - If the percentage of students who passed increased in 1998... so 72 is > 80% of x (x being number of students in 1998.
72 > 0.8x or x<90 so Choice A is valid. Note that the question stem asks for LEAST possible conclusion.

B - %passing decreased. so, 72/x*100 < 80 or 72/x < 0.8 or x>90. x could be 91 or 120. Don't know.

C - Not necessarily true. Number of students can remain the same, say 100 and the number of students passing is less than 80%, ie. 72%.

D - We know that the number of students passing the exam decreased by 10%, lets not evaluate this.

E - The percentage of passing students in 1998 would be less than 70% is when number of students in 1998 is greater than number of students in 1997. >102 to be precise.

As in case of B, the conclusion may or may not be true depending upon how much the percentage has decreased. In case of E the number of students in 1997 can not be greater than that in 1998.

This analysis would take more than 5-10 minutes. What's the source and are you sure the OA is B? What's the explanation at the source?
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Re: Beginning in 1997, high school seniors in State Q have been [#permalink]

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13 Dec 2011, 10:43
BOWLED !!!...OMG !!! Are we supposed to solve this in 2 mins?...The person who solves such questions within 2 mins is bound to be at least 760...
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Re: Beginning in 1997, high school seniors in State Q have been [#permalink]

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26 Dec 2011, 11:28
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B
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Re: Beginning in 1997, high school seniors in State Q have been [#permalink]

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26 Dec 2011, 21:00
neha2785 wrote:
B

Could you please elaborate on the line of reasoning used and the time taken? Any efficient and quick method?
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Re: Beginning in 1997, high school seniors in State Q have been [#permalink]

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26 Dec 2011, 22:58
So to make student graduate high school student need to pass an exam
1997 some 20% student failed
In 1998 the result was more bad 10 % “LESS” student pass in comparison to last year ..
So lets assume in 1997 100 high school student were there
1997 ) 80 , 20
1998 ) 72 , X
A ) If this has to be true then there has to be drop in high school student as any thing more then 88 student we cant reach higher %age so thus we can say A is not the least
B ) for this to be true we need passing % to be 79 or less then 79 = so student minimum required is 91 or more .. which makes B as can be or can be not .. defiantly LEAST possible
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Re: Beginning in 1997, high school seniors in State Q have been [#permalink]

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26 Dec 2011, 23:59
The answer has to be E. No matter what initial number you pick for the number of students, the range mentioned in E is not possible, hence I figure it is the least possible, possibility being 0. How is the answer B?
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Re: Beginning in 1997, high school seniors in State Q have been [#permalink]

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27 Dec 2011, 00:55
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1997 the students who didn't passed 20% (x)
1998 the students who didn't pass was inc. by 10% = X + 10 % of x = y

so how can this be possible, how can the number of passing students dec.
the no# 1. if the number of students decreased...

this is opposed by B

Hence B.
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Re: Beginning in 1997, high school seniors in State Q have been [#permalink]

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27 Dec 2011, 01:11
prab wrote:
1997 the students who didn't passed 20% (x)
1998 the students who didn't pass was inc. by 10% = X + 10 % of x = y

so how can this be possible, how can the number of passing students dec.
the no# 1. if the number of students decreased...

this is opposed by B

Hence B.

My friend you are forgetting a basic premise of the question. The 10% decrease was in the "NUMBER OF STUDENTS" who passed. So it is 10 % less than the people who graduated in 1997. Lets say in 1997, the number who graduated was 80%. Now lets assume the number who graduated in 1997 was 200. Then the number who graduated in 1998 was 10 percent less, or with this assumed number (200), 20 less people graduated this year. On the opposite end, if the number of those who graduated in 1997 was 200, 200 is 80% of what? of 250. Do the math. So the number who failed were 50, right? So given the information, statement B could hold, or we can still come up with numbers that support the conclusion. The only statement where the maths does not work out is E. So e "LEAST SUPPORTS" the information given.
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Re: Beginning in 1997, high school seniors in State Q have been [#permalink]

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27 Dec 2011, 18:47
easy one
Clearly B
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Re: Beginning in 1997, high school seniors in State Q have been [#permalink]

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23 Feb 2012, 11:28
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Actually I see the light here. Sorry for my earlier posts. Come to think of it, this was pretty straightforward. It is highly confusing because you have to go through all the optins in any case in a question like this, since it asks for the least possible. So many numbers are being talked about and randomly, so I guess this was a reall cracker.

But here is the reason that I think. Here is how:

From Question Stem:
"In 1998, the number of seniors who passed the exam decreased by 10% from the previous year". This is the key statement. We already know that the number of students is less in 1998 than in 1997. Just re-read the statement and it is obvious.

Now Option B says:

B. If the percentage of high school seniors who passed the exam decreased from 1997 to 1998 , the number of high schools seniors increased during that time period.

We already know that the number of student decreased so B is totally out of the question, the least likely.
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Re: Beginning in 1997, high school seniors in State Q have been [#permalink]

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15 Mar 2012, 21:40
Eventually got the answer but this took me a lot of time.Is it possible to solve questions like these in under 2 minutes?
Re: Beginning in 1997, high school seniors in State Q have been   [#permalink] 15 Mar 2012, 21:40

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