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Two business school students, Maya and Darise, received the [#permalink]

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10 Sep 2003, 01:16

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Two business school students, Maya and Darise, received the same overall grade in only one of four classes. Each grade was on a scale of 1 to 10.

From which of the following statements can one determine whose average overall grade was higher?

(A) Maya graduated at the top of her class
(B) Maya's lowest grade was less than or equal to Darise's highest grade
(C) Maya's highest grade and Darise's lowest grade were in the same class
(D) Maya scored higher than Darise in two areas and neither girl scored lower than 5 in any class
(E) Darise received a grade of 10 in three classes and Maya did not score higher than 8 in any class

Only choices A and E make it clearer enough to take a guess. E can't be it because if Darise recieved 10 in three classes, 8 in one class then the total is 38 for four classes. So she HAS to get at least 2 in the 5th class to beat Maya. Meanwhile if Maya recieved 8 in all classes then she has 40. For all five classes. And we're not given any info about Darise's 5th class so that tells us nothing.

Choice A clearly says Maya had better score than anyone else in her class therefore she must have done better than Darise as well.

Two business school students, Maya and Darise, received the same overall grade in only one of four classes. Each grade was on a scale of 1 to 10.

From which of the following statements can one determine whose average overall grade was higher?

(A) Maya graduated at the top of her class (B) Maya's lowest grade was less than or equal to Darise's highest grade (C) Maya's highest grade and Darise's lowest grade were in the same class (D) Maya scored higher than Darise in two areas and neither girl scored lower than 5 in any class (E) Darise received a grade of 10 in three classes and Maya did not score higher than 8 in any class

IMO, the answer is E.

A is not correct because we don't know what the criteria is for graduating at the top of one's class, nor do we know if Maya and Darise are in the same class. (also confusing because class is used in two different ways).

B is incorrect because if Maya has a zero, then Maya and Darise could have any just about any combination of scores.

C. The relative scores in one class is not sufficient to determine the relative averages given the information in the passage.

D. This is still not enough.

E. E is sufficient. Maya had 3 10's. In each of those classes, Darise could not have had more than 8. Since they tied in one class, that last class must be the one that they tied in. Hence Maya has an average of (30 + x) / 4 and Darise has a maximum average of (24+x)/4. Maya will be greater than darise for all x, hence E is sufficient.
_________________

Best,

AkamaiBrah Former Senior Instructor, Manhattan GMAT and VeritasPrep Vice President, Midtown NYC Investment Bank, Structured Finance IT MFE, Haas School of Business, UC Berkeley, Class of 2005 MBA, Anderson School of Management, UCLA, Class of 1993

Two business school students, Maya and Darise, received the same overall grade in only one of four classes. Each grade was on a scale of 1 to 10.

From which of the following statements can one determine whose average overall grade was higher?

(A) Maya graduated at the top of her class (B) Maya's lowest grade was less than or equal to Darise's highest grade (C) Maya's highest grade and Darise's lowest grade were in the same class (D) Maya scored higher than Darise in two areas and neither girl scored lower than 5 in any class (E) Darise received a grade of 10 in three classes and Maya did not score higher than 8 in any class

IMO, the answer is E.

A is not correct because we don't know what the criteria is for graduating at the top of one's class, nor do we know if Maya and Darise are in the same class. (also confusing because class is used in two different ways).

B is incorrect because if Maya has a zero, then Maya and Darise could have any just about any combination of scores.

C. The relative scores in one class is not sufficient to determine the relative averages given the information in the passage.

D. This is still not enough.

E. E is sufficient. Maya had 3 10's. In each of those classes, Darise could not have had more than 8. Since they tied in one class, that last class must be the one that they tied in. Hence Maya has an average of (30 + x) / 4 and Darise has a maximum average of (24+x)/4. Maya will be greater than darise for all x, hence E is sufficient.

Umm... doesn't E say Darise had three 10's and Maya recieved no more than 8?!?!

Two business school students, Maya and Darise, received the same overall grade in only one of four classes. Each grade was on a scale of 1 to 10.

From which of the following statements can one determine whose average overall grade was higher?

(A) Maya graduated at the top of her class (B) Maya's lowest grade was less than or equal to Darise's highest grade (C) Maya's highest grade and Darise's lowest grade were in the same class (D) Maya scored higher than Darise in two areas and neither girl scored lower than 5 in any class (E) Darise received a grade of 10 in three classes and Maya did not score higher than 8 in any class

IMO, the answer is E.

A is not correct because we don't know what the criteria is for graduating at the top of one's class, nor do we know if Maya and Darise are in the same class. (also confusing because class is used in two different ways).

B is incorrect because if Maya has a zero, then Maya and Darise could have any just about any combination of scores.

C. The relative scores in one class is not sufficient to determine the relative averages given the information in the passage.

D. This is still not enough.

E. E is sufficient. Maya had 3 10's. In each of those classes, Darise could not have had more than 8. Since they tied in one class, that last class must be the one that they tied in. Hence Maya has an average of (30 + x) / 4 and Darise has a maximum average of (24+x)/4. Maya will be greater than darise for all x, hence E is sufficient.

Umm... doesn't E say Darise had three 10's and Maya recieved no more than 8?!?!

Okay. I got darise and maya backwards. But the answer is still E.
_________________

Best,

AkamaiBrah Former Senior Instructor, Manhattan GMAT and VeritasPrep Vice President, Midtown NYC Investment Bank, Structured Finance IT MFE, Haas School of Business, UC Berkeley, Class of 2005 MBA, Anderson School of Management, UCLA, Class of 1993

Darise's grade in 3 is 10, the fourth can be 1 giving total of 31.

Where as Maya's grade can be as high as 8*4 = 36.

If Maya's lowest grade was less than equal to Darise's highest, Maya would have gotten a higher grade.

Mikhail wrote:

Two business school students, Maya and Darise, received the same overall grade in only one of four classes. Each grade was on a scale of 1 to 10.

From which of the following statements can one determine whose average overall grade was higher?

(A) Maya graduated at the top of her class (B) Maya's lowest grade was less than or equal to Darise's highest grade (C) Maya's highest grade and Darise's lowest grade were in the same class (D) Maya scored higher than Darise in two areas and neither girl scored lower than 5 in any class (E) Darise received a grade of 10 in three classes and Maya did not score higher than 8 in any class

I can't believe this question is this confusing. B is obviously false. I almost chose it myself though, because I was reading too fast.
(If it says M's lowest score is higher than or equal to D's highest score, then obviously M has got a higher overall score. However B says M's lowest score is less than or equal to D's highest score. Say M got four 1s and D got four 10s, D is higher. But if M got three 10s and one 5, and D got one 6 and three 1s, then clearly M is higher. )

As for wonder_gmat's solution, your mistake is that you thought that they had five courses, while in fact there're only four courses.
_________________

Keep on asking, and it will be given you;
keep on seeking, and you will find;
keep on knocking, and it will be opened to you.

:lol: I can't believe this question is this confusing. B is obviously false. I almost chose it myself though, because I was reading too fast. (If it says M's lowest score is higher than or equal to D's highest score, then obviously M has got a higher overall score. However B says M's lowest score is less than or equal to D's highest score. Say M got four 1s and D got four 10s, D is higher. But if M got three 10s and one 5, and D got one 6 and three 1s, then clearly M is higher. )

As for wonder_gmat's solution, your mistake is that you thought that they had five courses, while in fact there're only four courses.

Agreed. I just did the math for B. So then the others A, C, D don't look right either.

Two business school students, Maya and Darise, received the same overall grade in only one of four classes. Each grade was on a scale of 1 to 10.

From which of the following statements can one determine whose average overall grade was higher?

(A) Maya graduated at the top of her class (B) Maya's lowest grade was less than or equal to Darise's highest grade (C) Maya's highest grade and Darise's lowest grade were in the same class (D) Maya scored higher than Darise in two areas and neither girl scored lower than 5 in any class (E) Darise received a grade of 10 in three classes and Maya did not score higher than 8 in any class

Only E is determinant for stating that either Darise or Maya has a higher avg grade than the other.

If Darise scored 10 in three clases and Maya didnÂ´t get a 9 or 10 in any class, itÂ´s obvious that their coinciding grade is in the course in which Darise didnÂ´t get a 10. The two extreme grades for this course are 0 and 8.

If that grade is 0, DarisaÂ´s grades are 10, 10, 10 and 0, and MayaÂ´s are (at best) 8 8 8 0. Thus, we can state inequivocally that Darisa got a higher avg grade.

If that grade is 8, DarisaÂ´s grades are 10, 10, 10 and 8, and MayaÂ´s are (at best) 8, 8, 8 and 8. In this case also, we can know with certainty that Darisa got a higher avg grade.