GMAT Exam > GMAT Questions > Out of the 500 GMAT aspirants who registered ...
Start Learning for Free
Out of the 500 GMAT aspirants who registered on the e-GMAT website a single day, 50% registered for Verbal courses and 200 registered for Quant courses. How many students registered for neither of the Verbal and Quant course?
(1) 30% of the aspirants registered only for Quant courses
(2) 10% of the aspirants registered for both Quant and Verbal courses
- 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 'D'. Can you explain this answer?
Verified Answer
Out of the 500 GMAT aspirants who registered on the e-GMAT website a s...
Steps 1 & 2: Understand Question and Draw Inferences
We are given that 500 GMAT aspirants registered on e-GMAT website on a single day. These registrations came in three sections: Quant, Verbal, and Others.
Let’s say:
X = the number of students who registered in only Verbal courses
Y = the number of students who registered in only Quant courses
Z = the number of students who registered in both Quant and Verbal
P = the number of students who registered for neither of the Verbal or Quant courses.
We are told that
The total number of students who registered in Verbal courses = 50% of 500 = 
Thus, X + Z = 250 ……………… (1)
Also given:
The total number of students who registered in Quant courses = 200
Thus, Y + Z = 200 ……………… (2)
Now, the sum of the numbers in the four zones of the Venn diagram will be equal to the total number of students.
That is,
X + Y + Z + P = 500 ………. (3)
We need to find the value of P.
Since we have three equations in four unknowns, we just need one more equation in these unknowns to find the value of P.
Step 3: Analyze Statement 1
30% of the aspirants registered only for Quant courses
Per this statement,
Y = 30% of 500 = 
………. (4)
………. (4)Substituting Equations (1) and (4) in Equation (3):
250 + 150 +P = 500
P = 100
Hence, Statement 1 alone is sufficient to answer the question: What is the value of P?
(Note: We have shown the actual calculation for P here just to illustrate the calculation. In the exam, once you determine that Statement 1 provides enough information for you to solve the question, you can move to Step 4)
Step 4: Analyze Statement 2
10% of the aspirants registered for both Quant and Verbal courses
Per this statement,
Z = 10% of 500 = 
By substituting this value of Z in Equations 1 and 2 respectively, we’ll be able to find the values of X and Y. And by substituting the values of X, Y and Z in Equation 3, we will be able to determine the value of P.
Thus, Statement 2 alone is sufficient to find the value of P.
Step 5: Analyze Both Statements Together (if needed)
Since Statement 1 and 2 alone are sufficient to answer the question, we don’t need this step.
Answer: Option (D)
Most Upvoted Answer
Out of the 500 GMAT aspirants who registered on the e-GMAT website a s...
To find the number of students who registered for neither the Verbal nor the Quant course, we need to determine the number of students who registered for either the Verbal or the Quant course.
Statement (1) alone is sufficient to solve the problem:
- According to statement (1), 30% of the aspirants registered only for Quant courses. This means that 70% of the aspirants registered for either both the Quant and Verbal courses or only the Verbal course.
- Additionally, we know that 200 students registered for Quant courses. Therefore, we can calculate the number of students who registered for both the Quant and Verbal courses or only the Verbal course.
- Let's assume the total number of students who registered for both the Quant and Verbal courses or only the Verbal course is x.
- From statement (1), we have the equation 70% of 500 - 30% of 500 = x + 200.
- Solving this equation, we find x = 250.
- Therefore, the number of students who registered for neither the Verbal nor the Quant course is 500 - 200 (Quant) - 250 (Verbal) = 50.
Statement (2) alone is sufficient to solve the problem:
- According to statement (2), 10% of the aspirants registered for both Quant and Verbal courses.
- Let's assume the number of students who registered for only the Quant course is a and the number of students who registered for only the Verbal course is b.
- From statement (2), we have the equation a + b + 10% of 500 = 200 + 250.
- Solving this equation, we find a + b = 50.
- Therefore, the number of students who registered for neither the Verbal nor the Quant course is 500 - a (Quant) - b (Verbal) = 500 - 200 - 250 = 50.
Statements (1) and (2) together are not necessary to solve the problem as each statement alone is sufficient.
Statement (1) alone is sufficient to solve the problem:
- According to statement (1), 30% of the aspirants registered only for Quant courses. This means that 70% of the aspirants registered for either both the Quant and Verbal courses or only the Verbal course.
- Additionally, we know that 200 students registered for Quant courses. Therefore, we can calculate the number of students who registered for both the Quant and Verbal courses or only the Verbal course.
- Let's assume the total number of students who registered for both the Quant and Verbal courses or only the Verbal course is x.
- From statement (1), we have the equation 70% of 500 - 30% of 500 = x + 200.
- Solving this equation, we find x = 250.
- Therefore, the number of students who registered for neither the Verbal nor the Quant course is 500 - 200 (Quant) - 250 (Verbal) = 50.
Statement (2) alone is sufficient to solve the problem:
- According to statement (2), 10% of the aspirants registered for both Quant and Verbal courses.
- Let's assume the number of students who registered for only the Quant course is a and the number of students who registered for only the Verbal course is b.
- From statement (2), we have the equation a + b + 10% of 500 = 200 + 250.
- Solving this equation, we find a + b = 50.
- Therefore, the number of students who registered for neither the Verbal nor the Quant course is 500 - a (Quant) - b (Verbal) = 500 - 200 - 250 = 50.
Statements (1) and (2) together are not necessary to solve the problem as each statement alone is sufficient.
|
Explore Courses for GMAT exam
|
|
Top Courses for GMATView all
Question Description
Out of the 500 GMAT aspirants who registered on the e-GMAT website a single day, 50% registered for Verbal courses and 200 registered for Quant courses. How many students registered for neither of theVerbal and Quant course?(1) 30% of the aspirants registered only for Quant courses(2) 10% of the aspirants registered for both Quant and Verbal coursesa)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 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Out of the 500 GMAT aspirants who registered on the e-GMAT website a single day, 50% registered for Verbal courses and 200 registered for Quant courses. How many students registered for neither of theVerbal and Quant course?(1) 30% of the aspirants registered only for Quant courses(2) 10% of the aspirants registered for both Quant and Verbal coursesa)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 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Out of the 500 GMAT aspirants who registered on the e-GMAT website a single day, 50% registered for Verbal courses and 200 registered for Quant courses. How many students registered for neither of theVerbal and Quant course?(1) 30% of the aspirants registered only for Quant courses(2) 10% of the aspirants registered for both Quant and Verbal coursesa)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 'D'. Can you explain this answer?.
Out of the 500 GMAT aspirants who registered on the e-GMAT website a single day, 50% registered for Verbal courses and 200 registered for Quant courses. How many students registered for neither of theVerbal and Quant course?(1) 30% of the aspirants registered only for Quant courses(2) 10% of the aspirants registered for both Quant and Verbal coursesa)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 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Out of the 500 GMAT aspirants who registered on the e-GMAT website a single day, 50% registered for Verbal courses and 200 registered for Quant courses. How many students registered for neither of theVerbal and Quant course?(1) 30% of the aspirants registered only for Quant courses(2) 10% of the aspirants registered for both Quant and Verbal coursesa)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 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Out of the 500 GMAT aspirants who registered on the e-GMAT website a single day, 50% registered for Verbal courses and 200 registered for Quant courses. How many students registered for neither of theVerbal and Quant course?(1) 30% of the aspirants registered only for Quant courses(2) 10% of the aspirants registered for both Quant and Verbal coursesa)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 'D'. Can you explain this answer?.
Solutions for Out of the 500 GMAT aspirants who registered on the e-GMAT website a single day, 50% registered for Verbal courses and 200 registered for Quant courses. How many students registered for neither of theVerbal and Quant course?(1) 30% of the aspirants registered only for Quant courses(2) 10% of the aspirants registered for both Quant and Verbal coursesa)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 'D'. 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 500 GMAT aspirants who registered on the e-GMAT website a single day, 50% registered for Verbal courses and 200 registered for Quant courses. How many students registered for neither of theVerbal and Quant course?(1) 30% of the aspirants registered only for Quant courses(2) 10% of the aspirants registered for both Quant and Verbal coursesa)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 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Out of the 500 GMAT aspirants who registered on the e-GMAT website a single day, 50% registered for Verbal courses and 200 registered for Quant courses. How many students registered for neither of theVerbal and Quant course?(1) 30% of the aspirants registered only for Quant courses(2) 10% of the aspirants registered for both Quant and Verbal coursesa)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 'D'. Can you explain this answer?, a detailed solution for Out of the 500 GMAT aspirants who registered on the e-GMAT website a single day, 50% registered for Verbal courses and 200 registered for Quant courses. How many students registered for neither of theVerbal and Quant course?(1) 30% of the aspirants registered only for Quant courses(2) 10% of the aspirants registered for both Quant and Verbal coursesa)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 'D'. Can you explain this answer? has been provided alongside types of Out of the 500 GMAT aspirants who registered on the e-GMAT website a single day, 50% registered for Verbal courses and 200 registered for Quant courses. How many students registered for neither of theVerbal and Quant course?(1) 30% of the aspirants registered only for Quant courses(2) 10% of the aspirants registered for both Quant and Verbal coursesa)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 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Out of the 500 GMAT aspirants who registered on the e-GMAT website a single day, 50% registered for Verbal courses and 200 registered for Quant courses. How many students registered for neither of theVerbal and Quant course?(1) 30% of the aspirants registered only for Quant courses(2) 10% of the aspirants registered for both Quant and Verbal coursesa)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 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.
|
|
Explore Courses for GMAT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup