GMAT Exam > GMAT Questions > Out of the 150 students of School X, 40 stude...
Start Learning for Free
Out of the 150 students of School X, 40 students have opted for only French as an extra subject. Some students have opted for German as an extra subject and 30 students have opted neither for German nor French. What is the total number of students who have opted for only German?
(1) The total number of students opting for at least one subject out of German and French is 120.
(2) The number of students who opted for both German and French is one-third of the number of students who opted for neither of the two subjects.
- 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.
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Out of the 150 students of School X, 40 students have opted for only F...
Steps 1 & 2: Understand Question and Draw Inferences
We are given that there are 150 students in a school. Out of these 150 students, 40 have opted only for French as an extra subject.
There are 30 students who haven’t opted for any of German or French as the extra subject.
Let’s say:
X = Number of students who opted for both the subjects
Y = Number of students who opted only for German as the extra subject
So, the above information can be represented as follows:
The sum of the numbers in the four zones of the Venn diagram will be equal to the total number of students.
Thus,
40 + X + Y + 30 = 150
We get:
X + Y = 80 ……….. (1)
The question asks us to find the value of Y.
Step 3: Analyze Statement 1
The total number of students opting for at least one subject out of German and French is 120
This means,
40 + X + Y = 120
Or, X + Y = 80
As shown in equation (1), we already have this information. However, since we don’t have the value of X, we can’t find the value of Y.
Hence, Statement 1 is not sufficient to answer the question: What is the value of Y?
Step 4: Analyze Statement 2
The number of students who opted for both German and French is one-third of the number of students who opted for neither of the two subjects
Per this statement,
X=1/3(30)=10
By plugging in the value of X in Equation (1), we get,
Y = 70
Hence, Statement 2 alone is sufficient to answer the question: What is the value of Y?
Step 5: Analyze Both Statements Together (if needed)
Since Statement 2 alone is sufficient to answer the question, we don’t need to perform this step.
Answer: Option (B)
Most Upvoted Answer
Out of the 150 students of School X, 40 students have opted for only F...
Given:
- Total number of students in School X = 150
- Number of students who have opted for only French = 40
- Number of students who have opted for neither German nor French = 30
To find:
- Total number of students who have opted for only German
Statement 1:
- The total number of students opting for at least one subject out of German and French is 120.
This statement alone is not sufficient to determine the number of students who have opted for only German. We know that the total number of students opting for at least one subject is 120, but we don't know how many of those students have opted for only German.
Statement 2:
- The number of students who opted for both German and French is one-third of the number of students who opted for neither of the two subjects.
Let's assume the number of students who opted for both German and French is x. Then, the number of students who opted for neither German nor French is 3x.
We are given that the number of students who opted for neither German nor French is 30, so we can write the equation:
3x = 30
x = 10
Therefore, the number of students who opted for both German and French is 10.
Now, we can calculate the number of students who have opted for only German:
- Total number of students who opted for German = Number of students who opted for both German and French + Number of students who opted for only German
- Total number of students who opted for German = 10 + Number of students who opted for only German
Since the total number of students who opted for German is not given, we cannot determine the number of students who have opted for only German using this statement alone.
Combined statements:
From statement 1, we know that the total number of students opting for at least one subject is 120.
From statement 2, we know that the number of students who opted for both German and French is 10.
Using this information, we can calculate the number of students who have opted for only German:
- Total number of students who opted for German = Number of students who opted for both German and French + Number of students who opted for only German
- Total number of students who opted for German = 10 + Number of students who opted for only German
Since the total number of students who opted for German is not given, we cannot determine the number of students who have opted for only German using these combined statements.
Therefore, statement 2 alone is sufficient to answer the question, but statement 1 alone is not sufficient. Hence, the correct answer is option B.
- Total number of students in School X = 150
- Number of students who have opted for only French = 40
- Number of students who have opted for neither German nor French = 30
To find:
- Total number of students who have opted for only German
Statement 1:
- The total number of students opting for at least one subject out of German and French is 120.
This statement alone is not sufficient to determine the number of students who have opted for only German. We know that the total number of students opting for at least one subject is 120, but we don't know how many of those students have opted for only German.
Statement 2:
- The number of students who opted for both German and French is one-third of the number of students who opted for neither of the two subjects.
Let's assume the number of students who opted for both German and French is x. Then, the number of students who opted for neither German nor French is 3x.
We are given that the number of students who opted for neither German nor French is 30, so we can write the equation:
3x = 30
x = 10
Therefore, the number of students who opted for both German and French is 10.
Now, we can calculate the number of students who have opted for only German:
- Total number of students who opted for German = Number of students who opted for both German and French + Number of students who opted for only German
- Total number of students who opted for German = 10 + Number of students who opted for only German
Since the total number of students who opted for German is not given, we cannot determine the number of students who have opted for only German using this statement alone.
Combined statements:
From statement 1, we know that the total number of students opting for at least one subject is 120.
From statement 2, we know that the number of students who opted for both German and French is 10.
Using this information, we can calculate the number of students who have opted for only German:
- Total number of students who opted for German = Number of students who opted for both German and French + Number of students who opted for only German
- Total number of students who opted for German = 10 + Number of students who opted for only German
Since the total number of students who opted for German is not given, we cannot determine the number of students who have opted for only German using these combined statements.
Therefore, statement 2 alone is sufficient to answer the question, but statement 1 alone is not sufficient. Hence, the correct answer is option B.
Community Answer
Out of the 150 students of School X, 40 students have opted for only F...
B
Attention GMAT Students!
To make sure you are not studying endlessly, EduRev has designed GMAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GMAT.
|
Explore Courses for GMAT exam
|
|
Similar GMAT Doubts
Top Courses for GMATView all
Out of the 150 students of School X, 40 students have opted for only French as an extra subject. Some students have opted for German as an extra subject and 30 students have opted neither for German nor French. What is the total number of students who have opted for only German?(1) The total number of students opting for at least one subject out of German and French is 120.(2) The number of students who opted for both German and French is one-third of the number of students who opted for neither of the two subjects.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.Correct answer is option 'B'. Can you explain this answer?
Question Description
Out of the 150 students of School X, 40 students have opted for only French as an extra subject. Some students have opted for German as an extra subject and 30 students have opted neither for German nor French. What is the total number of students who have opted for only German?(1) The total number of students opting for at least one subject out of German and French is 120.(2) The number of students who opted for both German and French is one-third of the number of students who opted for neither of the two subjects.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.Correct answer is option 'B'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Out of the 150 students of School X, 40 students have opted for only French as an extra subject. Some students have opted for German as an extra subject and 30 students have opted neither for German nor French. What is the total number of students who have opted for only German?(1) The total number of students opting for at least one subject out of German and French is 120.(2) The number of students who opted for both German and French is one-third of the number of students who opted for neither of the two subjects.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.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Out of the 150 students of School X, 40 students have opted for only French as an extra subject. Some students have opted for German as an extra subject and 30 students have opted neither for German nor French. What is the total number of students who have opted for only German?(1) The total number of students opting for at least one subject out of German and French is 120.(2) The number of students who opted for both German and French is one-third of the number of students who opted for neither of the two subjects.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.Correct answer is option 'B'. Can you explain this answer?.
Out of the 150 students of School X, 40 students have opted for only French as an extra subject. Some students have opted for German as an extra subject and 30 students have opted neither for German nor French. What is the total number of students who have opted for only German?(1) The total number of students opting for at least one subject out of German and French is 120.(2) The number of students who opted for both German and French is one-third of the number of students who opted for neither of the two subjects.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.Correct answer is option 'B'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Out of the 150 students of School X, 40 students have opted for only French as an extra subject. Some students have opted for German as an extra subject and 30 students have opted neither for German nor French. What is the total number of students who have opted for only German?(1) The total number of students opting for at least one subject out of German and French is 120.(2) The number of students who opted for both German and French is one-third of the number of students who opted for neither of the two subjects.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.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Out of the 150 students of School X, 40 students have opted for only French as an extra subject. Some students have opted for German as an extra subject and 30 students have opted neither for German nor French. What is the total number of students who have opted for only German?(1) The total number of students opting for at least one subject out of German and French is 120.(2) The number of students who opted for both German and French is one-third of the number of students who opted for neither of the two subjects.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.Correct answer is option 'B'. Can you explain this answer?.
Solutions for Out of the 150 students of School X, 40 students have opted for only French as an extra subject. Some students have opted for German as an extra subject and 30 students have opted neither for German nor French. What is the total number of students who have opted for only German?(1) The total number of students opting for at least one subject out of German and French is 120.(2) The number of students who opted for both German and French is one-third of the number of students who opted for neither of the two subjects.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.Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of Out of the 150 students of School X, 40 students have opted for only French as an extra subject. Some students have opted for German as an extra subject and 30 students have opted neither for German nor French. What is the total number of students who have opted for only German?(1) The total number of students opting for at least one subject out of German and French is 120.(2) The number of students who opted for both German and French is one-third of the number of students who opted for neither of the two subjects.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.Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Out of the 150 students of School X, 40 students have opted for only French as an extra subject. Some students have opted for German as an extra subject and 30 students have opted neither for German nor French. What is the total number of students who have opted for only German?(1) The total number of students opting for at least one subject out of German and French is 120.(2) The number of students who opted for both German and French is one-third of the number of students who opted for neither of the two subjects.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.Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Out of the 150 students of School X, 40 students have opted for only French as an extra subject. Some students have opted for German as an extra subject and 30 students have opted neither for German nor French. What is the total number of students who have opted for only German?(1) The total number of students opting for at least one subject out of German and French is 120.(2) The number of students who opted for both German and French is one-third of the number of students who opted for neither of the two subjects.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.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Out of the 150 students of School X, 40 students have opted for only French as an extra subject. Some students have opted for German as an extra subject and 30 students have opted neither for German nor French. What is the total number of students who have opted for only German?(1) The total number of students opting for at least one subject out of German and French is 120.(2) The number of students who opted for both German and French is one-third of the number of students who opted for neither of the two subjects.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.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Out of the 150 students of School X, 40 students have opted for only French as an extra subject. Some students have opted for German as an extra subject and 30 students have opted neither for German nor French. What is the total number of students who have opted for only German?(1) The total number of students opting for at least one subject out of German and French is 120.(2) The number of students who opted for both German and French is one-third of the number of students who opted for neither of the two subjects.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.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice GMAT tests.
|
|
Explore Courses for GMAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup