The table below shows a gradebook. Letter grades of A, B, C, and D

Question

The table below shows a gradebook. Letter grades of A, B, C, and D represent numerical grades of 4, 3, 2, and 1, respectively. Each student’s overall grade was determined by computing the average (arithmetic mean) of their grades on the first paper, the first quiz, the second paper, the second quiz, and the final project, and then rounding to the nearest whole number. If the average is exactly halfway between whole numbers, the grade will be rounded up.

Student    Paper 1    Quiz 1    Paper 2    Quiz 2    Final
project     Phoebe  A  B  B  A  A    Stanley  A  B  A  C  A    Linette  B  A  B  C  A    Mia  B  C  C  D  A    Sietske  B  B  C  C  A    Sigrid  B  C  C  B  B    Vig  B  D  C  D  B    Jean  C  C  B  A  B    Robin  D  A  A  D  A    Yolette  D  C  C  A  A

For each of the following statements, select  Yes  if the statement is true based on the information presented in the table. Otherwise, select  No.

100306

cytong · Accepted Answer

Here's my answer No, No, No
1 - No because Jean received an A on the final project and also received an A on the second quiz. 
2 - No because Mia received C and D on the two quizzes but received an A on the final project. 
3 - No because Stanley would have received a B. There are 2 students you would have to check for this question: Phoebe and Stanley. Phoebe clearly gets an A because the two Bs "cancel" the two As. However, it's not as clear for Stanley, so you might have to do the math. 
Stanley's scores are A, B, A, C, A. This would translate to 4, 3, 4, 2, 4
4+3+4+2+4 = 17
17/4 = 3.4 (this rounds down to a B)

csp2021 · Answer

Maybe I'm crazy but 17/4 is definitely 4.25.

jabhatta2 · Answer

Could you let me know your answers

I selected "No" for all three but was not sure

hassan233 · Answer

probably just a little typo. They meant 17/5 (since there are 5 grades). 17/5 = 3.4

rafin202 · Answer

Sajjad1994  can you answer this?

Sajjad1994 · Answer

Welcome to GMAT Club! The OA is: No for all This question is pretty straightforward; you can read one explanation here in the post in the link below https://gmatclub.com/forum/the-table-be ... l#p2755638 For any specific issue or concern regarding the question do let me know. Cheers

nisen20 · Answer

where does this "in the course" come from?
there's no information suggesting how much are these grades weighted, or any criterion directly helping make a judgement about whether these students got A or not.

i find some old IR questions are just weird.

chetan2u · Answer

It is mentioned in the question statement that average of all is what you get in the entire course. Weightage therefore is equal 1:1:1:1:1

chetan2u · Answer

The first two can easily be checked from sorting data on final project. The answer is negative for both.

So, let me answer the third one.

It is given that ‘ Letter grades of A, B, C, and D represent numerical grades of 4, 3, 2, and 1, respectively.‘
Also,

So, we check for students who have received A on first paper. 
Phoebe: A,B,B,A,A so  \frac{4+3+3+4+4}{5}  or 3.6, which gets rounded up to 4. So yes A in the course. 
Stanley: A,B,A,C,A so  \frac{4+3+4+2+4}{5}  or 3.4, which gets rounded down to 3. So no, he doesn’t get A in the course. He gets a B.

Again a NO for this portion too.

nisen20 · Answer

yes. it is there. i must be out of my mind yesterday.

thank you  chetan2u

anikpait17 · Answer

The 3rd question will require the computation. I have a small doubt on the third question.
When we do the computation for one of the students out of the two, Grade: AABBA, the computations comes as
4+4+3+3 + 4 = 18/5 = 3.6, does this rounds to 4? Because questions says it should be "exactly" halfway to be rounded but what if its more than halfway, can we round the number to 4?

Gemmie · Answer

1. Each student who did not receive an A on the final project did not receive an A on either quiz. => No

Sort by Final Project, Iean is the case that doesn't match the statement

2. Each student who did not receive an A on either quiz did not receive an A on the final project. => No

Sort by Final Project, Sietske is the case that doesn't match the statement

3. Each student who got an A on Paper 1 got an A in the course. => No

Sort by Paper 1, we have Phoebe and Stanley

Phoebe: 5 + 4 + 4 + 5 + 5 => Avg is surely more than 4.5 => A
Stanley: 5 + 4 + 5 + 3 + 5 = 22 => Avg = 22/5 = 4.4 => B

So Stanley is the case that doesn't match the statement

Show Spoiler

Attachment:

GMAT-Club-Forum-1xld8e2n.png [ 44.87 KiB | Viewed 10745 times ]

Attachment:

GMAT-Club-Forum-zgi5wt6j.png [ 41.32 KiB | Viewed 10686 times ]

Attachment:

GMAT-Club-Forum-4c68eg4d.png [ 45 KiB | Viewed 10672 times ]

Akhil12345800 · Answer

I am getting all these questions correct but take around 4 mins for these, this is for all of DI. What can be done to improve speed here guys ?

D3N0 · Answer

3 - You can do it without actually calculating, but it's a bit more of an average side. 
Phoebe: (A B B A A) or you can write ( 4 3 3 4 4) clearly average would be a bit higher than 3.5 because 3 values of 4 and 2 values of 3. 
Stanley: (A B A C A) or you can write (4 3 4 2 4) so clearly average is going to be less than 3.5 because 2 values of 4, 2 values of 3 will give us average 3.5 and the next value is 2 which is less then the 3.5 (average) so it will make total average a bit less than 3.5. and we are rounding to the nearest integer value for the grade so it will become less than A grade.

SudsMeister · Answer

@Bunuel

Does the statement: Each student who  did not receive an A on either quiz  = Each student who  did not receive and A on both quiz ? 
 Do they both mean the same? 
 If no, then what's the difference?

cheshire · Answer

The word "either" means they did not receive an A on Quiz 1 or Quiz 2. This is different than them not receiving an A on Quiz 1 and Quiz 2.

bot00078 · Answer

https://gmatclub.com/forum/download/file.php?id=86356 Here in Second Pheobe Nearest is 4 but we know it like 1 is 3 and another is 4 so this reason it is NO GMAT-Club-Forum-dc1ndim3.jpeg

bhanu29 · Answer

Statement 1:
Each student who did not receive an A on the final project did not receive an A on either quiz.

Jean did not receive A on the final project but she received A on the quiz 2

No

Statement 2:
Each student who did not receive an A on either quiz did not receive an A on the final project.

Stanley did not receive A on either quiz but received A on the final project.

No

Statement 3:
Each student who got an A on Paper 1 got an A in the course.

Phoebe and Stanley got A in paper 1

Final grades:
Phoebe -> 18/5 = 3.6 -> A grade
Stanley -> 17/5 = 3.4 -> B grade

No

egmat · Answer

Hi SudsMeister,

Great question — this is a classic GMAT logic/language  trap , and getting this distinction clear will help you on test day.

They do  NOT  mean the same thing. Here's the difference:

"Did not receive an A on EITHER quiz"  means: No A on Quiz  1  AND no A on Quiz  2 . Zero A's across both quizzes. Think of it as: "not on this one, and not on that one either."

"Did not receive an A on BOTH quizzes"  means: It is  NOT  the case that the student got an A on both. The student could still have gotten an A on one of them — they just didn't get A's on both.

Let's see the difference using the table:

Phoebe has Quiz  1  = B and Quiz  2  = A.
- Did she fail to get an A on EITHER quiz?  No  — she got an A on Quiz  2 , so she does have an A on at least one quiz.
- Did she fail to get an A on BOTH quizzes?  Yes  — she only got an A on one quiz, not both.

Stanley has Quiz  1  = B and Quiz  2  = C.
- Did he fail to get an A on EITHER quiz?  Yes  — no A on Quiz  1 , no A on Quiz  2 . Zero A's.
- Did he fail to get an A on BOTH quizzes? Also  yes  — he certainly didn't get A's on both.

Key Insight:  "Not both" is a WIDER net — it catches anyone with  0  or  1  A's. "Not either" is a NARROWER net — it catches only those with  0  A's.

For S2 in this problem:  "did not receive an A on either quiz" means students with zero A's on quizzes. That includes Stanley (B, C), Mia (C, D), Sietske (B, C), Sigrid (C, B), and Vig (D, D). Since Stanley, Mia, and Sietske all got A's on the final project, the statement is false — answer is  No .

Answer: No, No, No

The table below shows a gradebook. Letter grades of A, B, C, and D

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

Student	Paper 1	Quiz 1	Paper 2	Quiz 2	Final project
Phoebe	A	B	B	A	A
Stanley	A	B	A	C	A
Linette	B	A	B	C	A
Mia	B	C	C	D	A
Sietske	B	B	C	C	A
Sigrid	B	C	C	B	B
Vig	B	D	C	D	B
Jean	C	C	B	A	B
Robin	D	A	A	D	A
Yolette	D	C	C	A	A

Yes	No
		Each student who did not receive an A on the final project did not receive an A on either quiz.
		Each student who did not receive an A on either quiz did not receive an A on the final project.
		Each student who got an A on Paper 1 got an A in the course.

Student	Paper 1	Quiz 1	Paper 2	Quiz 2	Final project
lean	C	C	B	A	B
Unette	B	A	B	C	A
Mia	B	C	C	D	A
Phoebe	A	B	B	A	A
Robin	D	A	A	D	A
Sietske	B	B	C	C	A
Sigrid	B	C	C	B	B
Stanley	A	B	A	C	A
Vig	B	D	C	D	B
Yolett	D	C	C	A	A

GMAT Graphs and Tables (G&T) Questions

The table below shows a gradebook. Letter grades of A, B, C, and D

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards