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Two naval cadets-Steve and Robert

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mbanit Junior | Next Rank: 30 Posts Default Avatar
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Two naval cadets-Steve and Robert

Post Sat Sep 25, 2010 4:11 am
Which is the best answer?

Two naval cadets-Steve and Robert-received the
same the evaluation in only one of four areas. Each
evaluation was on a scale of 1 to 10.
From which of the following statements can one
determine whose average score was higher on the
evaluation?
(A) Robert graduated at the top of his class.
(B) Steve scored higher than Robert in two areas
and neither cadet scored below 5 in any area.
(C) Steve’s lowest score was less than or equal to
Robert’s highest score.
(D) Robert received a score of 10 in three areas
and Steve did not score higher than 8 in any
area.
(E) Robert’s highest score and Steve’s lowest
score were in the same area.

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uwhusky Legendary Member
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Post Sun Sep 26, 2010 9:11 pm
Read the stimulus again.

Quote:
Two naval cadets-Steve and Robert-received the same the evaluation in only one of four areas.

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Yep.

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reply2spg Legendary Member
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Post Sun Sep 26, 2010 9:03 pm
I don't agree with D.

Let's say Robert's scores are 10, 10, 10, 0 = avg 7.5
Let's say Steve's scores are 8, 8, 8, 8 = 8

then steve has average score more than robert's.

So D can never be the answer. Answer must be C.

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uwhusky Legendary Member
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Post Mon Sep 27, 2010 9:28 am
reply2spg wrote:
Sorry, I see what you are saying. But then also on safer side I will bet on C

uwhusky wrote:
Read the stimulus again.

Quote:
Two naval cadets-Steve and Robert-received the same the evaluation in only one of four areas.
Your comment doesn't make much sense, how is C safer than D?

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Yep.

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lokesh r Master | Next Rank: 500 Posts Default Avatar
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Post Mon Sep 27, 2010 5:42 am
goyalsau wrote:
reply2spg wrote:
I don't agree with D.

Let's say Robert's scores are 10, 10, 10, 0 = avg 7.5
Let's say Steve's scores are 8, 8, 8, 8 = 8

then steve has average score more than robert's.

So D can never be the answer. Answer must be C.
they should have one common score
But in your score they don't have any common score.
IMO D.

Robert's scores are x,10,10,10
Steve's score are at the best scenario y,8,8,8

Using above two set and since one of robert's score has to be same as one of Steve's, we can easily make that Robert's average is more than that of Steve's

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reply2spg Legendary Member
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Post Mon Sep 27, 2010 4:19 am
Sorry, I see what you are saying. But then also on safer side I will bet on C

uwhusky wrote:
Read the stimulus again.

Quote:
Two naval cadets-Steve and Robert-received the same the evaluation in only one of four areas.

_________________
Sudhanshu
(have lot of things to learn from all of you)

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goyalsau Legendary Member
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Post Sun Sep 26, 2010 11:53 pm
reply2spg wrote:
I don't agree with D.

Let's say Robert's scores are 10, 10, 10, 0 = avg 7.5
Let's say Steve's scores are 8, 8, 8, 8 = 8

then steve has average score more than robert's.

So D can never be the answer. Answer must be C.
they should have one common score
But in your score they don't have any common score.

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uwhusky Legendary Member
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Post Sat Sep 25, 2010 3:36 pm
Yes, C is also a right answer, because less than or equal to with limitation that one must be equal means that Steve's average had to be higher.

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Yep.

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goyalsau Legendary Member
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Post Sat Sep 25, 2010 3:01 pm
mbanit wrote:
Even I felt D is the answer. But in material, in which I found this question, C is marked as answer and below explanation was given


The answer is (C). Since they scored the same in
only one area, Steve’s lowest score was equal to
Robert’s highest score. Hence, in the other three areas
Steve scored higher than Robert. Thus, Steve’s average
score is higher than Robert’s.


If anyone fell C is the best answer, please give your explanation.
Even i choose D when i solved the problem
But C will not be wrong if you just do some minor change and i.e.
option C says Steve lowest score less than or equal to robert highest score.
Now if we change it to - Steve lowest score is equal to robert highest score.
Then the reasoning that you posted above is completely right.

I think those people you made it has made a bit mistake .

Let me Try

Steve score - 3, 4, 5, 6, Steve Lowest is 3 - ( Average Score 3+4+5+6 = 18/4 = 4.5 )
Roberts Score - 3, 2, 1, 1. ( Average Score 3+2+1+1 = 7/4 = 1.75 )

Now it Does not matter whether you but any figure in steve other 3 scores than are different from Robert Score If at Least Steve Score 5, 6, 6, 6, - Now average is 23/4 = 5.75
Now Robert Best Score 5,4,4,4 - Average will be 17/4 = 4.25

If you put any figure in there score they Robert average will always be at least 1.50 points less than Steve Score.



C is Correct if you edit above option.

But D is Correct In all Circumstances.

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Last edited by goyalsau on Sat Sep 25, 2010 3:48 pm; edited 2 times in total

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mbanit Junior | Next Rank: 30 Posts Default Avatar
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Post Sat Sep 25, 2010 2:10 pm
Even I felt D is the answer. But in material, in which I found this question, C is marked as answer and below explanation was given


The answer is (C). Since they scored the same in
only one area, Steve’s lowest score was equal to
Robert’s highest score. Hence, in the other three areas
Steve scored higher than Robert. Thus, Steve’s average
score is higher than Robert’s.


If anyone fell C is the best answer, please give your explanation.

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thevoid Senior | Next Rank: 100 Posts Default Avatar
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Post Sat Sep 25, 2010 12:54 pm
uwhusky wrote:
This is like a DS question. I would say the answer has to be D, because the stimulus states that Robert and Steve shares a same score. So if Robert scored 10 in 3 out of 4 areas and Steve did not scored more than 8 in any of the areas, then the 4th score of Robert that is not disclosed must be the one that he shares with Steve.

Robert: 3 x 10 = 30.

Steve: 3 x 8 = 24.

So doesn't matter what the 4th score is, there's no way that Steve could obtain a higher average than Robert.
wow....amzing...dats wat a question like dis does to naive ppl...like me...
i was so engrossed in options i forgot the information stated in d beginning dat both of dem share a score...

great work uwhusky......thnx

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uwhusky Legendary Member
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Post Sat Sep 25, 2010 12:36 pm
This is like a DS question. I would say the answer has to be D, because the stimulus states that Robert and Steve shares a same score. So if Robert scored 10 in 3 out of 4 areas and Steve did not scored more than 8 in any of the areas, then the 4th score of Robert that is not disclosed must be the one that he shares with Steve.

Robert: 3 x 10 = 30.

Steve: 3 x 8 = 24.

So doesn't matter what the 4th score is, there's no way that Steve could obtain a higher average than Robert.

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Yep.

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thevoid Senior | Next Rank: 100 Posts Default Avatar
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Post Sat Sep 25, 2010 12:29 pm
mbanit wrote:
But here you are assuming that Steve and Robert graduated from same class, which is never mentioned in the statement.

My doubt is whether answer is C or D.
Well for C - suppose Steve has scores 1 2 3 4 so his lowest 1 is either less than or equal to Robert's highest score, ie, Robert's highest score is in range {2 to 10} or if equal its 1,
so this gives us 2 choices, not concrete to find the answer.

Now for D, let robert scored 10 in 3 areas, and 0 in fourth and Steve scored 8 in all 4 areas, hence steve scores more in average, but still we are not sure because robert's score in the fourth area and steve's exact score ae not possible,

now dats the problem, hence i accorded A as possible answer, since than Robert definitely has to have the highest average,
and since if we are considering two naval cadets, they gotta b from same course and same class, why would somebody compare one from china and the other from africa, and even if they do, they will write it explictly with the criterias,

since its not written explicitly we have to assume they are from same class,
jst my thought.

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mbanit Junior | Next Rank: 30 Posts Default Avatar
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Post Sat Sep 25, 2010 12:10 pm
But here you are assuming that Steve and Robert graduated from same class, which is never mentioned in the statement.

My doubt is whether answer is C or D.

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thevoid Senior | Next Rank: 100 Posts Default Avatar
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Post Sat Sep 25, 2010 11:51 am
mbanit wrote:
Which is the best answer?

Two naval cadets-Steve and Robert-received the
same the evaluation in only one of four areas. Each
evaluation was on a scale of 1 to 10.
From which of the following statements can one
determine whose average score was higher on the
evaluation?
(A) Robert graduated at the top of his class.
(B) Steve scored higher than Robert in two areas
and neither cadet scored below 5 in any area.
(C) Steve’s lowest score was less than or equal to
Robert’s highest score.
(D) Robert received a score of 10 in three areas
and Steve did not score higher than 8 in any
area.
(E) Robert’s highest score and Steve’s lowest
score were in the same area.
Hi,
My 2 cents - on A,
since Robert graduated at the TOP, he must have scored Highest Aggregrate amongst his class, so dat all others scored less than him in aggregrate, His Average of total Obtained Marks / total gross marks.

Do tell the OA and OE later.
Thnx

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