10 Students took a Chemistry Exam that was Graded on a Dcale of 0 to 100 GMAT Data Sufficiency

bySayantani Barman Experta en el extranjero

Question: 10 students took a chemistry exam that was graded on a scale of 0 to 100. Five of the students were in Dr. Adams’ class and the other five students were in Dr. Brown’s class. Is the median score for Dr. Adams’ students greater than the median score for Dr. Brown’s students?

(1) The range of scores for students in Dr. Adams’ class was 40 to 80, while the range of scores for students in Dr. Brown’s class was 50 to 90.
(2) If the students are paired in study teams such that each student from Dr. Adams’ class has a partner from Dr. Brown’s class, there is a way to pair the 10 students such that the higher scorer in each pair is one of Dr. Brown’s students.

A) Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.
B) Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.
C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D) EACH statement ALONE is sufficient.
E) Statements (1) and (2) TOGETHER are not sufficient.

“10 students took a chemistry exam that was graded on a scale of 0 to 100” is a topic of the GMAT Quantitative reasoning section of GMAT. GMAT Data Sufficiency questions consist of a problem statement followed by two factual statements. This particular GMAT Data Sufficiency question assesses candidates’ critical thinking and hypervigilance. An abstract problem-solving question is mainly given and most of the difficulty comes from obtuse or clever wording, candidates usually miss it.

Answer: B
Solution and Explanation:
Approach Solution 1:

This is a Yes/No data sufficiency question that only asks you to give your opinion on the relative values of the medians, without asking you to specify the medians' exact numbers.

Keep in mind that when all the words are listed in order, the median—as opposed to the mean—only depends on the value of the middle term (or two middle terms if your list contains an even number of elements, but each class has an odd number of students here). For instance:
For the collection "1, 1, 1, 1, 1, 2, 100," the median is equal to 1.
The median value for the set "1, 1, 4, 1" is 1.

-1000, -100, 1, 20, 99999 for the set
Indeed, the median remains at 1.

Statement 1 provides information about the range of class A test scores (dams). Range solely concerns the list's endpoints. Any number in that range might serve as the middle word. For instance:
{40, 40, 40, 40, 80; the range is 40, 40, 50, 60, 70, and 80 60 is the median.
40, 80, 80, 80, 80 — 80 is the median

For class B (row), a range of 50 to 90 might provide any of the following results:
{50, 50, 50, 50, 90} — median: fifty
{50, 51, 62, 84, 90} the median is 62.
{50, 90, 90, 90, 90} 90 is the median.

You would need to specify if all possible medians for all possible set As were always bigger than (or always less than) the medians for all possible set Bs for the statement to be sufficient to answer the question. This statement is insufficient since there is a situation where "it might be, but it might not."

You can match up each student, according to Statement 2, so that each score in Set A correlates to a higher score in Set B.

Therefore, set B must have the following components: "#larger than p, #bigger than q, #bigger than r, #bigger than s, #bigger than t" if the elements in set A are given in the following order: "p, q, r, s, t."

What is the set A median? R is the middle word. What is set B's median? larger than r, anything. Even though I have NO IDEA what those numbers are, if I arrange them In descending order, I know that set B's middle term must be greater than set A's middle term. SUFFICIENT.

B is the correct answer.

Approach Solution 2:

Given Dr. Adams' class range of 40 to 80, statement 1
Range of Dr. Brown's classes: 50 to 90

Case 1: The median grade in Dr. Adams' class ranges from 40 to 50 to 80 to 80.
Scores in Dr. Brown's class range from 50 to 90, with 70 being the median.

and the response is indeed

Case 2
Scores in Dr. Adams' class range from 40 to 80, with 75 being the median.
Scores in Dr. Brown's class range from 50 to 90, with 80 being the median.

and that response is no.

As a result, it is not enough to discover the solution.

Conclusion 2: All of the students in Dr. Brown's class have scores that are higher than all of the students in Dr. Adam's class. As a result, Dr. Adam's class' median is lower than Dr. Brown's class' median. Consequently, "no" is the clear answer. Therefore, it is sufficient to learn the solution.
B is the correct answer.

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10 Students took a Chemistry Exam that was Graded on a Dcale of 0 to 100 GMAT Data Sufficiency

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