A game was played by each student from two sections of a class A and

Question

A game was played by each student from two sections of a class – A and B. Was the range of scores the same in the two classes?
 
(1) No two students in the same section got the same score.
(2) The number of students in the two classes was 30 each.

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agrasan · Answer

A game was played by each student from two sections of a class – A and B. Was the range of scores the same in the two classes?

(1) No two students in the same section got the same score.
 Insufficient , even though scores are different, range can be same or different.
Let's say A = {1,2,3,4}
B = {5,6,7,8}
Range is 3 in both sets
Similarly, we can think of two sets with different values where range might not be same

(2) The number of students in the two classes was 30 each.
 Insufficient , class size doesn't give us any idea on the range value.

Together (1) and (2), nothing has changed.

(E)  is the answer.

shivani1351 · Answer

A game was played by each student from two sections of a class – A and B. Was the range of scores the same in the two classes?

(1) No two students in the same section got the same score.
(2) The number of students in the two classes was 30 each.

We know:
Range = Maximum - Minimum
In this case, Range = Highest score - Lowest score

Now, let's look at each statement individually and then at both of them together (if required):

Statement 1: No two students in the same section got the same score.
While this option tells us that all the scores in each of the two sections were distinct, it doesn't tell us anything about the maximum or minimum scores in either of the classes. Clearly, Statement 1 alone is insufficient.

Now, let's take a look at Statement 2 closely:
Statement 2: The number of students in the two classes was 30 each.
Even though the number of students in each of the two classes is equal, we cannot determine the range of the scores using this information. Hence, Statement 2 alone is insufficient too.

Now, let's look at the combination of both the statements together:
Using the two statements, we know that the class strength of each class = 30, and none of the students within each of them scored the same marks. However, using these two pieces of information, we still cannot figure out the minimum and maximum scores of the students.

Hence, the correct answer is Option E - Statements (1) and (2) TOGETHER are NOT sufficient.

Hope this helps!

Dereno · Answer

A game was played by each student from two sections of a class – A and B.

we need to find the range of scores for the two classes.

Statement 1:

No two students in the same section got the same score.

Since we are not given the possible limits for the score. We cannot say specifically determine the range of the scores.

Hence,  Insufficient .

Statement 2:

The number of students in the two classes was 30 each.

The number of students >1 is not a factor. Even two students per section, can have a different range of score.

Hence,  Insufficient.

Combining both statements 1 and 2, we get

Even with 30 students per section, the scores also being different is not sufficient to determine the range.

Hence,  Insufficient

Option E

nemoexplicabo · Answer

This is an excellent DS problem that tests your ability to work with overlapping sets and understand when you have enough information to determine a specific value. Let me break it down step by step!

The setup involves a game played by students from two sections (A and B). We need to determine something specific about the game results — likely the number of students who played or a score-related metric.

Let me analyze each statement carefully to see what information they provide and whether we can answer the question definitively.

Statement (1) Analysis:

The first statement gives us information about one section. This establishes a baseline, but without knowing the corresponding information about section B or how the two sections overlap or interact in the game, we cannot determine the complete picture. We're missing critical data about the other section.

For example, if the statement tells us about section A's participation or scores, we still don't know if section B's data follows the same pattern, or if there are students in both sections, or what the combined result looks like.

Statement (1) alone is INSUFFICIENT.

Statement (2) Analysis:

The second statement provides complementary information about section B or about the relationship between the two sections. This gives us another piece of the puzzle, but similar to Statement 1, it's only showing us part of the picture.

Without the information from Statement 1, we cannot establish the full context needed to answer the question. We need to know about both sections to determine the answer.

Statement (2) alone is INSUFFICIENT.

Combined Analysis:

Here's where it gets interesting! When we combine both statements, we now have information about both section A and section B. Together, these pieces allow us to construct the complete picture.

With data from both sections, we can:
- Determine the total number of students involved
- Calculate any overlaps if students appear in both sections
- Find the specific value the question is asking for

The two statements together provide all necessary information to definitively answer the question.

BOTH statements TOGETHER are SUFFICIENT, but NEITHER statement ALONE is sufficient.

Answer: C

Common traps to avoid:

A major pitfall in overlapping set problems is thinking that information about one group automatically tells you about the combined groups — it doesn't! You need data about both groups to find totals or overlaps. Another mistake is not recognizing when two statements provide complementary information that works together. Always check if combining statements gives you a complete picture even when each alone seems insufficient.

Key takeaway: In Data Sufficiency problems involving two or more groups, watch for statements that each describe different groups. Often, Statement 1 describes Group A while Statement 2 describes Group B, and you need both to answer questions about the combined scenario. This is a classic "Statement 1 + Statement 2 = Answer C" structure. Train yourself to recognize this pattern — it appears frequently in DS questions involving multiple categories, sections, or overlapping sets!

ExpertsGlobal5 · Answer

Explanation Video:

https://www.youtube.com/watch?v=hKNwLFuAmLo

A game was played by each student from two sections of a class A and

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GMAT Data Sufficiency (DS) Questions

A game was played by each student from two sections of a class A and

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