Directions: andndash; Answer the questions on the basis of the information given below.A group of X students applied to three collegesandndash; A, B, and C to pursue their postandndash;graduation such that each student applied to at least one college. Further, it is known that the number of students who applied only to A is oneandndash;third the number of students who applied only to C. The number of students who applied to exactly two colleges is the same as the number of students who applied to only C. The number of students who applied to at least two colleges is the same as the number of students who applied to A. The number of students who applied to B is equal to the number of students who applied only to A.Q. If exactly 100 students applied only to A, what is the value of X?a)500b)600c)700d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

CAT Exam > CAT Questions > Directions: – Answer the questions on t...

Directions: – Answer the questions on the basis of the information given below.
A group of X students applied to three colleges– A, B, and C to pursue their post–graduation such that each student applied to at least one college. Further, it is known that the number of students who applied only to A is one–third the number of students who applied only to C. The number of students who applied to exactly two colleges is the same as the number of students who applied to only C. The number of students who applied to at least two colleges is the same as the number of students who applied to A. The number of students who applied to B is equal to the number of students who applied only to A.

Q. If exactly 100 students applied only to A, what is the value of X?

a)
500
b)
600
c)
700
d)
Cannot be determined

Correct answer is option 'C'. Can you explain this answer?

Join for Free

Join for Free

Verified Answer

Directions: – Answer the questions on the basis of the informati...

From the given Venn diagram
3a = c
d + e + f = c = 3a
d + e + f + g = a + d + e + g
=> f = a
a = b + d + f + g
as, a = f so b + d + g = 0 i.e., b = d = g = 0
Hence, d + e + f = c = 3a, d = 0, f = a
Than e = 2a

Total number of student – a + b + c + d + e + f + g
=> a + 0 + 3a + 0 + 2a + a + 0 => 7a
Given a = 100, Total number of students is 7a
= 7 × 100
= 700

View all questions of this test

Most Upvoted Answer

Directions: – Answer the questions on the basis of the informati...

1. Start by identifying your starting point and desired destination. You can use a map or GPS to find the specific addresses or locations.

2. Determine the mode of transportation you will be using. If you are driving, make sure you have access to a vehicle and familiarize yourself with the route. If you are using public transportation, check the schedules and identify the nearest stops or stations.

3. Plan your route. Consider factors such as traffic, road closures, and peak travel times. Use a navigation app or website to find the best route based on your preferences.

4. Follow the directions provided. Whether you are using a navigation app or a physical map, carefully follow the instructions given. Pay attention to road signs and landmarks to ensure you are on the right track.

5. Be aware of any detours or changes in the route. Construction or unexpected events can cause road closures or changes in traffic patterns. Stay alert and adjust your route accordingly if needed.

6. Stay focused and attentive while driving. Keep your eyes on the road, use turn signals, and obey traffic laws. Avoid distractions such as using your phone or eating while driving.

7. If using public transportation, make sure to arrive at the designated stop or station on time. Check for any schedule changes or delays before your trip.

8. If you get lost or need assistance, don't hesitate to ask for help. Approach a local or use a phone or navigation app to find the nearest assistance or information point.

9. Once you reach your destination, find a suitable parking spot or return public transportation tickets if applicable.

10. Remember to always stay safe and be aware of your surroundings. Lock your vehicle and avoid walking alone in unfamiliar areas, especially at night.

Answered by Wizius Careers · View profile

Free Test

FREE

CAT Mock Test - 12
66 Ques | 120 Min

Start Free Test

View all free CAT tests

Community Answer

Directions: – Answer the questions on the basis of the informati...

Total number of student – a + b + c + d + e + f + g
=> a + 0 + 3a + 0 + 2a + a + 0 => 7a
Given a = 100, Total number of students is 7a
= 7 × 100
= 700

View all answers Start learning for free

Explore Courses for CAT exam

Similar CAT Doubts

Directions [Set of 4 questions]: Refer the data given below to answer the following questions.In the state of Maharashtra, there are eight under graduation courses, A to H and eight post-graduation courses I to P.The percentage of students pursuing graduation and post-graduation in MaharashtraPercentage of the final year students that did not complete their respective coursesPercentage of the final year students that did not complete their respective coursesThe total number of students in Maharashtra doing their graduation or post-graduation is 75000. For every four students doing their graduation there is one student doing his post-graduation. For every five students in each graduate course, there is one student in the final year. For every two students in each post graduate course there is one student in the final year. Please note that the post-graduation courses are two year courses.It is known that course-N is the post-graduation course of course-A. If all the first year students of course-N are promoted to the final year of their course and the course-A graduates fill in their seats, then how many of the course-A graduates who completed their graduation will not be able to get admission into course-N?

View answer

Directions [Set of 4 questions]: Refer the data given below to answer the following questions.In the state of Maharashtra, there are eight under graduation courses, A to H and eight post-graduation courses I to P.The percentage of students pursuing graduation and post-graduation in MaharashtraPercentage of the final year students that did not complete their respective coursesPercentage of the final year students that did not complete their respective coursesThe total number of students in Maharashtra doing their graduation or post-graduation is 75000. For every four students doing their graduation there is one student doing his post-graduation. For every five students in each graduate course, there is one student in the final year. For every two students in each post graduate course there is one student in the final year. Please note that the post-graduation courses are two year courses.It is known that the course-H is a three year course. What is the ratio of the total number of students in either the first or the second year of course-H to the number of students in the final year of course-N?

View answer

Answer the following question based on the information given below.In a certain training institute which had exactly 200 students, each student was given exactly one question from one among the following categories: Reasoning, Mathematics, Grammar, Interpretation and Comprehension.Chart 1 gives the distribution of questions among the students.However, since the students were not happy with the type of questions each one had received, they exchanged their questions with other students in such a way that none of them had a question of the same category as they had earlier.Chart 2 shows the distribution of number of students who initially had questions from Reasoning category and exchanged their questions across students of various categories.Further, exactly 8 students who originally had questions on Interpretation now have questions on Reasoning with them. Also 8 students who initially had questions on comprehension now have questions on Interpretation category.Also out of the students who initially had questions on Grammar, 3 students now have questions on Reasoning and 16 have questions on Mathematics category.Q.Out of the students who initially had questions on Interpretation,if the number of students who now have questions on Mathematics and Grammar is the same, then at least how many of the students who now have questions on Mathematics initially had questions on Comprehension? Correct answer is '10'. Can you explain this answer?

View answer

Directions: Study the following information and answer the question given below.Five students - P, Q, R, S and T were preparing an act for their annual function. They were facing south, but not necessarily in the same order. The distances between two adjacent students are successive multiples of 5 (i.e. the distance between the first and the second student is 5 m, the first and the third student is 10 m, and between the first and the fourth student is 15 m, and so on.)Also,Q is the immediate neighbour of T.There are two students between S and R.P is second to the right of Q.R is not adjacent to P.Student P turned 180° and walked straight for 10 m, and reached point A. Student R walked some distance to reach point A. Student T walked 10$\ \sqrt{2}$ m to reach point B in the southwest direction by turning exactly 45°. Student Q walked some distance straight due south to reach a point which is horizontally in line with point B.Q. What is the distance between student S and point B?

View answer

Directions: Answer the question on the basis of the information given below.A placement exam comprises six parts viz. Part-A, Part-B, Part-C, Part-D, Part-E and Part-F, not necessarily in the same order. A student who takes the exam attempts each of the six parts, one after the other. The order in which any student completes the six parts is the same for all the students.Six students—James, Benjamin, Albert, Thomas, Anderson and George - attempted the placement exam, which started at exactly 09:30 on a particular day. The table below provides the part that each student was attempting in at exactly 09:40 and 09:45.(a X in a table indicates that none of the students were attempting in that part at that tim e).Q.Thomas is left with how many parts at 9:45? Key in the value. Correct answer is '4'. Can you explain this answer?

View answer

Top Courses for CATView all

Quantitative Aptitude (Quant)

Crash Course for CAT

CAT Mock Test Series 2024

Mock Test Series for SNAP

Mock Test Series for XAT

Top Courses for CAT

View all

Directions: – Answer the questions on the basis of the information given below.A group of X students applied to three colleges– A, B, and C to pursue their post–graduation such that each student applied to at least one college. Further, it is known that the number of students who applied only to A is one–third the number of students who applied only to C. The number of students who applied to exactly two colleges is the same as the number of students who applied to only C. The number of students who applied to at least two colleges is the same as the number of students who applied to A. The number of students who applied to B is equal to the number of students who applied only to A.Q. If exactly 100 students applied only to A, what is the value of X?a)500b)600c)700d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?

Share with a Friend

Answer this doubt

Question Description
Directions: – Answer the questions on the basis of the information given below.A group of X students applied to three colleges– A, B, and C to pursue their post–graduation such that each student applied to at least one college. Further, it is known that the number of students who applied only to A is one–third the number of students who applied only to C. The number of students who applied to exactly two colleges is the same as the number of students who applied to only C. The number of students who applied to at least two colleges is the same as the number of students who applied to A. The number of students who applied to B is equal to the number of students who applied only to A.Q. If exactly 100 students applied only to A, what is the value of X?a)500b)600c)700d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: – Answer the questions on the basis of the information given below.A group of X students applied to three colleges– A, B, and C to pursue their post–graduation such that each student applied to at least one college. Further, it is known that the number of students who applied only to A is one–third the number of students who applied only to C. The number of students who applied to exactly two colleges is the same as the number of students who applied to only C. The number of students who applied to at least two colleges is the same as the number of students who applied to A. The number of students who applied to B is equal to the number of students who applied only to A.Q. If exactly 100 students applied only to A, what is the value of X?a)500b)600c)700d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: – Answer the questions on the basis of the information given below.A group of X students applied to three colleges– A, B, and C to pursue their post–graduation such that each student applied to at least one college. Further, it is known that the number of students who applied only to A is one–third the number of students who applied only to C. The number of students who applied to exactly two colleges is the same as the number of students who applied to only C. The number of students who applied to at least two colleges is the same as the number of students who applied to A. The number of students who applied to B is equal to the number of students who applied only to A.Q. If exactly 100 students applied only to A, what is the value of X?a)500b)600c)700d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.

Solutions for Directions: – Answer the questions on the basis of the information given below.A group of X students applied to three colleges– A, B, and C to pursue their post–graduation such that each student applied to at least one college. Further, it is known that the number of students who applied only to A is one–third the number of students who applied only to C. The number of students who applied to exactly two colleges is the same as the number of students who applied to only C. The number of students who applied to at least two colleges is the same as the number of students who applied to A. The number of students who applied to B is equal to the number of students who applied only to A.Q. If exactly 100 students applied only to A, what is the value of X?a)500b)600c)700d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.

Here you can find the meaning of Directions: – Answer the questions on the basis of the information given below.A group of X students applied to three colleges– A, B, and C to pursue their post–graduation such that each student applied to at least one college. Further, it is known that the number of students who applied only to A is one–third the number of students who applied only to C. The number of students who applied to exactly two colleges is the same as the number of students who applied to only C. The number of students who applied to at least two colleges is the same as the number of students who applied to A. The number of students who applied to B is equal to the number of students who applied only to A.Q. If exactly 100 students applied only to A, what is the value of X?a)500b)600c)700d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions: – Answer the questions on the basis of the information given below.A group of X students applied to three colleges– A, B, and C to pursue their post–graduation such that each student applied to at least one college. Further, it is known that the number of students who applied only to A is one–third the number of students who applied only to C. The number of students who applied to exactly two colleges is the same as the number of students who applied to only C. The number of students who applied to at least two colleges is the same as the number of students who applied to A. The number of students who applied to B is equal to the number of students who applied only to A.Q. If exactly 100 students applied only to A, what is the value of X?a)500b)600c)700d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Directions: – Answer the questions on the basis of the information given below.A group of X students applied to three colleges– A, B, and C to pursue their post–graduation such that each student applied to at least one college. Further, it is known that the number of students who applied only to A is one–third the number of students who applied only to C. The number of students who applied to exactly two colleges is the same as the number of students who applied to only C. The number of students who applied to at least two colleges is the same as the number of students who applied to A. The number of students who applied to B is equal to the number of students who applied only to A.Q. If exactly 100 students applied only to A, what is the value of X?a)500b)600c)700d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Directions: – Answer the questions on the basis of the information given below.A group of X students applied to three colleges– A, B, and C to pursue their post–graduation such that each student applied to at least one college. Further, it is known that the number of students who applied only to A is one–third the number of students who applied only to C. The number of students who applied to exactly two colleges is the same as the number of students who applied to only C. The number of students who applied to at least two colleges is the same as the number of students who applied to A. The number of students who applied to B is equal to the number of students who applied only to A.Q. If exactly 100 students applied only to A, what is the value of X?a)500b)600c)700d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: – Answer the questions on the basis of the information given below.A group of X students applied to three colleges– A, B, and C to pursue their post–graduation such that each student applied to at least one college. Further, it is known that the number of students who applied only to A is one–third the number of students who applied only to C. The number of students who applied to exactly two colleges is the same as the number of students who applied to only C. The number of students who applied to at least two colleges is the same as the number of students who applied to A. The number of students who applied to B is equal to the number of students who applied only to A.Q. If exactly 100 students applied only to A, what is the value of X?a)500b)600c)700d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.

Explore Courses for CAT exam