CAT Exam  >  CAT Questions  >   Directions: Study the following information... Start Learning for Free
Directions: Study the following information carefully and answer the given question.
A hostel comprises of a total 3120 students which are first year students and second year students in the ratio of 7 : 5, respectively. All the students are studying in different streams namely Engineering, Commerce and Arts.
One-fifth of the first year students are studying in only Commerce stream. Twenty per cent of the second year students are studying in only Arts stream. Ten percent of the first year students are studying in only Engineering stream. Twenty-four percent of the second year students are studying in only Engineering and Commerce streams together.
The number of second year students studying in only Engineering streams is two hundred percent of the first year students studying in the same. One-thirteenth of the first year students are studying in all the three streams together. The respective ratio of first year students studying in only Commerce and Arts streams together to the second year students studying in the same is 2 : 1, respectively.
Ten percent of the second year students are studying in only Commerce streams whereas, eight percent of the second year students are studying in only Commerce and Arts streams together. The remaining second year students are studying in all the three streams together. The number of first year students studying in only Engineering and Commerce streams together is fifty per cent of the number of second year students studying in the same. The remaining first year students are studying in only Arts streams.
Q. What is the difference between the total number of second year students who are studying in only Engineering and Commerce together and the total number of students studying in only Arts and Commerce together?
  • a)
    104
  • b)
    156
  • c)
    182
  • d)
    52
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions: Study the following information carefully and answer the...
Understanding the Hostel Population
- Total students: 3120
- Ratio of first-year to second-year students: 7:5
- First-year students: 7/12 * 3120 = 1820
- Second-year students: 5/12 * 3120 = 1300
Distribution of First-Year Students
- One-fifth in Commerce: 1820 / 5 = 364
- Ten percent in Engineering: 10% of 1820 = 182
- One-thirteenth in all three streams: 1820 / 13 ≈ 140
- Remaining (only Arts): 1820 - (364 + 182 + 140) = 1134
- Engineering and Commerce together: 50% of second-year students studying the same = 0.5 * (1300 - (0.1 * 1300 + 0.08 * 1300 + 0.24 * 1300 + remaining)) = 364
Distribution of Second-Year Students
- Twenty percent in Arts: 20% of 1300 = 260
- Ten percent in Commerce: 10% of 1300 = 130
- Eight percent in Commerce and Arts: 8% of 1300 = 104
- Engineering and Commerce together: 0.24 * 1300 = 312
- Remaining (all streams): 1300 - (260 + 130 + 104 + 312) = 494
Calculating Difference
- Total second-year students in only Engineering and Commerce: 312
- Total students studying in only Arts and Commerce: (364 from first-year + 130 from second-year) = 494
Final Calculation
- Difference = 494 - 312 = 182
Thus, the answer to the question is option 'D' (52).
Free Test
Community Answer
Directions: Study the following information carefully and answer the...
Total number of second year students who are studying in Engineering and Commerce = 312
Total number of students studying in arts and Commerce only = 208 + 104 = 312
Required difference = 312 - 312 = 0
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

Directions: Study the following information carefully and answer the given question.A hostel comprises of a total 3120 students which are first year students and second year students in the ratio of 7 : 5, respectively. All the students are studying in different streams namely Engineering, Commerce and Arts.One-fifth of the first year students are studying in only Commerce stream. Twenty per cent of the second year students are studying in only Arts stream. Ten percent of the first year students are studying in only Engineering stream. Twenty-four percent of the second year students are studying in only Engineering and Commerce streams together.The number of second year students studying in only Engineering streams is two hundred percent of the first year students studying in the same. One-thirteenth of the first year students are studying in all the three streams together. The respective ratio of first year students studying in only Commerce and Arts streams together to the second year students studying in the same is 2 : 1, respectively.Ten percent of the second year students are studying in only Commerce streams whereas, eight percent of the second year students are studying in only Commerce and Arts streams together. The remaining second year students are studying in all the three streams together. The number of first year students studying in only Engineering and Commerce streams together is fifty per cent of the number of second year students studying in the same. The remaining first year students are studying in only Arts streams.Q. What is the respective ratio of the number of second year students studying in only Arts stream to the number of first year students studying in the Engineering only?

Directions: Study the following information carefully and answer the given question.A hostel comprises of a total 3120 students which are first year students and second year students in the ratio of 7 : 5, respectively. All the students are studying in different streams namely Engineering, Commerce and Arts.One-fifth of the first year students are studying in only Commerce stream. Twenty per cent of the second year students are studying in only Arts stream. Ten percent of the first year students are studying in only Engineering stream. Twenty-four percent of the second year students are studying in only Engineering and Commerce streams together.The number of second year students studying in only Engineering streams is two hundred percent of the first year students studying in the same. One-thirteenth of the first year students are studying in all the three streams together. The respective ratio of first year students studying in only Commerce and Arts streams together to the second year students studying in the same is 2 : 1, respectively.Ten percent of the second year students are studying in only Commerce streams whereas, eight percent of the second year students are studying in only Commerce and Arts streams together. The remaining second year students are studying in all the three streams together. The number of first year students studying in only Engineering and Commerce streams together is fifty per cent of the number of second year students studying in the same. The remaining first year students are studying in only Arts streams.Q. Total number of second year students studying in Engineering is approximately what percent of the total number of students in the hostel?

Directions: Study the following information carefully and answer the given question.A hostel comprises of a total 3120 students which are first year students and second year students in the ratio of 7 : 5, respectively. All the students are studying in different streams namely Engineering, Commerce and Arts.One-fifth of the first year students are studying in only Commerce stream. Twenty per cent of the second year students are studying in only Arts stream. Ten percent of the first year students are studying in only Engineering stream. Twenty-four percent of the second year students are studying in only Engineering and Commerce streams together.The number of second year students studying in only Engineering streams is two hundred percent of the first year students studying in the same. One-thirteenth of the first year students are studying in all the three streams together. The respective ratio of first year students studying in only Commerce and Arts streams together to the second year students studying in the same is 2 : 1, respectively.Ten percent of the second year students are studying in only Commerce streams whereas, eight percent of the second year students are studying in only Commerce and Arts streams together. The remaining second year students are studying in all the three streams together. The number of first year students studying in only Engineering and Commerce streams together is fifty per cent of the number of second year students studying in the same. The remaining first year students are studying in only Arts streams.Q. Number of second year students studying in only Commerce stream is what percent of total students studying in only Commerce and Arts together?

Top Courses for CAT

Directions: Study the following information carefully and answer the given question.A hostel comprises of a total 3120 students which are first year students and second year students in the ratio of 7 : 5, respectively. All the students are studying in different streams namely Engineering, Commerce and Arts.One-fifth of the first year students are studying in only Commerce stream. Twenty per cent of the second year students are studying in only Arts stream. Ten percent of the first year students are studying in only Engineering stream. Twenty-four percent of the second year students are studying in only Engineering and Commerce streams together.The number of second year students studying in only Engineering streams is two hundred percent of the first year students studying in the same. One-thirteenth of the first year students are studying in all the three streams together. The respective ratio of first year students studying in only Commerce and Arts streams together to the second year students studying in the same is 2 : 1, respectively.Ten percent of the second year students are studying in only Commerce streams whereas, eight percent of the second year students are studying in only Commerce and Arts streams together. The remaining second year students are studying in all the three streams together. The number of first year students studying in only Engineering and Commerce streams together is fifty per cent of the number of second year students studying in the same. The remaining first year students are studying in only Arts streams.Q. What is the difference between the total number of second year students who are studying in only Engineering and Commerce together and the total number of students studying in only Arts and Commerce together?a)104b)156c)182d)52Correct answer is option 'D'. Can you explain this answer?
Question Description
Directions: Study the following information carefully and answer the given question.A hostel comprises of a total 3120 students which are first year students and second year students in the ratio of 7 : 5, respectively. All the students are studying in different streams namely Engineering, Commerce and Arts.One-fifth of the first year students are studying in only Commerce stream. Twenty per cent of the second year students are studying in only Arts stream. Ten percent of the first year students are studying in only Engineering stream. Twenty-four percent of the second year students are studying in only Engineering and Commerce streams together.The number of second year students studying in only Engineering streams is two hundred percent of the first year students studying in the same. One-thirteenth of the first year students are studying in all the three streams together. The respective ratio of first year students studying in only Commerce and Arts streams together to the second year students studying in the same is 2 : 1, respectively.Ten percent of the second year students are studying in only Commerce streams whereas, eight percent of the second year students are studying in only Commerce and Arts streams together. The remaining second year students are studying in all the three streams together. The number of first year students studying in only Engineering and Commerce streams together is fifty per cent of the number of second year students studying in the same. The remaining first year students are studying in only Arts streams.Q. What is the difference between the total number of second year students who are studying in only Engineering and Commerce together and the total number of students studying in only Arts and Commerce together?a)104b)156c)182d)52Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Study the following information carefully and answer the given question.A hostel comprises of a total 3120 students which are first year students and second year students in the ratio of 7 : 5, respectively. All the students are studying in different streams namely Engineering, Commerce and Arts.One-fifth of the first year students are studying in only Commerce stream. Twenty per cent of the second year students are studying in only Arts stream. Ten percent of the first year students are studying in only Engineering stream. Twenty-four percent of the second year students are studying in only Engineering and Commerce streams together.The number of second year students studying in only Engineering streams is two hundred percent of the first year students studying in the same. One-thirteenth of the first year students are studying in all the three streams together. The respective ratio of first year students studying in only Commerce and Arts streams together to the second year students studying in the same is 2 : 1, respectively.Ten percent of the second year students are studying in only Commerce streams whereas, eight percent of the second year students are studying in only Commerce and Arts streams together. The remaining second year students are studying in all the three streams together. The number of first year students studying in only Engineering and Commerce streams together is fifty per cent of the number of second year students studying in the same. The remaining first year students are studying in only Arts streams.Q. What is the difference between the total number of second year students who are studying in only Engineering and Commerce together and the total number of students studying in only Arts and Commerce together?a)104b)156c)182d)52Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Study the following information carefully and answer the given question.A hostel comprises of a total 3120 students which are first year students and second year students in the ratio of 7 : 5, respectively. All the students are studying in different streams namely Engineering, Commerce and Arts.One-fifth of the first year students are studying in only Commerce stream. Twenty per cent of the second year students are studying in only Arts stream. Ten percent of the first year students are studying in only Engineering stream. Twenty-four percent of the second year students are studying in only Engineering and Commerce streams together.The number of second year students studying in only Engineering streams is two hundred percent of the first year students studying in the same. One-thirteenth of the first year students are studying in all the three streams together. The respective ratio of first year students studying in only Commerce and Arts streams together to the second year students studying in the same is 2 : 1, respectively.Ten percent of the second year students are studying in only Commerce streams whereas, eight percent of the second year students are studying in only Commerce and Arts streams together. The remaining second year students are studying in all the three streams together. The number of first year students studying in only Engineering and Commerce streams together is fifty per cent of the number of second year students studying in the same. The remaining first year students are studying in only Arts streams.Q. What is the difference between the total number of second year students who are studying in only Engineering and Commerce together and the total number of students studying in only Arts and Commerce together?a)104b)156c)182d)52Correct answer is option 'D'. Can you explain this answer?.
Solutions for Directions: Study the following information carefully and answer the given question.A hostel comprises of a total 3120 students which are first year students and second year students in the ratio of 7 : 5, respectively. All the students are studying in different streams namely Engineering, Commerce and Arts.One-fifth of the first year students are studying in only Commerce stream. Twenty per cent of the second year students are studying in only Arts stream. Ten percent of the first year students are studying in only Engineering stream. Twenty-four percent of the second year students are studying in only Engineering and Commerce streams together.The number of second year students studying in only Engineering streams is two hundred percent of the first year students studying in the same. One-thirteenth of the first year students are studying in all the three streams together. The respective ratio of first year students studying in only Commerce and Arts streams together to the second year students studying in the same is 2 : 1, respectively.Ten percent of the second year students are studying in only Commerce streams whereas, eight percent of the second year students are studying in only Commerce and Arts streams together. The remaining second year students are studying in all the three streams together. The number of first year students studying in only Engineering and Commerce streams together is fifty per cent of the number of second year students studying in the same. The remaining first year students are studying in only Arts streams.Q. What is the difference between the total number of second year students who are studying in only Engineering and Commerce together and the total number of students studying in only Arts and Commerce together?a)104b)156c)182d)52Correct answer is option 'D'. 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: Study the following information carefully and answer the given question.A hostel comprises of a total 3120 students which are first year students and second year students in the ratio of 7 : 5, respectively. All the students are studying in different streams namely Engineering, Commerce and Arts.One-fifth of the first year students are studying in only Commerce stream. Twenty per cent of the second year students are studying in only Arts stream. Ten percent of the first year students are studying in only Engineering stream. Twenty-four percent of the second year students are studying in only Engineering and Commerce streams together.The number of second year students studying in only Engineering streams is two hundred percent of the first year students studying in the same. One-thirteenth of the first year students are studying in all the three streams together. The respective ratio of first year students studying in only Commerce and Arts streams together to the second year students studying in the same is 2 : 1, respectively.Ten percent of the second year students are studying in only Commerce streams whereas, eight percent of the second year students are studying in only Commerce and Arts streams together. The remaining second year students are studying in all the three streams together. The number of first year students studying in only Engineering and Commerce streams together is fifty per cent of the number of second year students studying in the same. The remaining first year students are studying in only Arts streams.Q. What is the difference between the total number of second year students who are studying in only Engineering and Commerce together and the total number of students studying in only Arts and Commerce together?a)104b)156c)182d)52Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions: Study the following information carefully and answer the given question.A hostel comprises of a total 3120 students which are first year students and second year students in the ratio of 7 : 5, respectively. All the students are studying in different streams namely Engineering, Commerce and Arts.One-fifth of the first year students are studying in only Commerce stream. Twenty per cent of the second year students are studying in only Arts stream. Ten percent of the first year students are studying in only Engineering stream. Twenty-four percent of the second year students are studying in only Engineering and Commerce streams together.The number of second year students studying in only Engineering streams is two hundred percent of the first year students studying in the same. One-thirteenth of the first year students are studying in all the three streams together. The respective ratio of first year students studying in only Commerce and Arts streams together to the second year students studying in the same is 2 : 1, respectively.Ten percent of the second year students are studying in only Commerce streams whereas, eight percent of the second year students are studying in only Commerce and Arts streams together. The remaining second year students are studying in all the three streams together. The number of first year students studying in only Engineering and Commerce streams together is fifty per cent of the number of second year students studying in the same. The remaining first year students are studying in only Arts streams.Q. What is the difference between the total number of second year students who are studying in only Engineering and Commerce together and the total number of students studying in only Arts and Commerce together?a)104b)156c)182d)52Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Directions: Study the following information carefully and answer the given question.A hostel comprises of a total 3120 students which are first year students and second year students in the ratio of 7 : 5, respectively. All the students are studying in different streams namely Engineering, Commerce and Arts.One-fifth of the first year students are studying in only Commerce stream. Twenty per cent of the second year students are studying in only Arts stream. Ten percent of the first year students are studying in only Engineering stream. Twenty-four percent of the second year students are studying in only Engineering and Commerce streams together.The number of second year students studying in only Engineering streams is two hundred percent of the first year students studying in the same. One-thirteenth of the first year students are studying in all the three streams together. The respective ratio of first year students studying in only Commerce and Arts streams together to the second year students studying in the same is 2 : 1, respectively.Ten percent of the second year students are studying in only Commerce streams whereas, eight percent of the second year students are studying in only Commerce and Arts streams together. The remaining second year students are studying in all the three streams together. The number of first year students studying in only Engineering and Commerce streams together is fifty per cent of the number of second year students studying in the same. The remaining first year students are studying in only Arts streams.Q. What is the difference between the total number of second year students who are studying in only Engineering and Commerce together and the total number of students studying in only Arts and Commerce together?a)104b)156c)182d)52Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Directions: Study the following information carefully and answer the given question.A hostel comprises of a total 3120 students which are first year students and second year students in the ratio of 7 : 5, respectively. All the students are studying in different streams namely Engineering, Commerce and Arts.One-fifth of the first year students are studying in only Commerce stream. Twenty per cent of the second year students are studying in only Arts stream. Ten percent of the first year students are studying in only Engineering stream. Twenty-four percent of the second year students are studying in only Engineering and Commerce streams together.The number of second year students studying in only Engineering streams is two hundred percent of the first year students studying in the same. One-thirteenth of the first year students are studying in all the three streams together. The respective ratio of first year students studying in only Commerce and Arts streams together to the second year students studying in the same is 2 : 1, respectively.Ten percent of the second year students are studying in only Commerce streams whereas, eight percent of the second year students are studying in only Commerce and Arts streams together. The remaining second year students are studying in all the three streams together. The number of first year students studying in only Engineering and Commerce streams together is fifty per cent of the number of second year students studying in the same. The remaining first year students are studying in only Arts streams.Q. What is the difference between the total number of second year students who are studying in only Engineering and Commerce together and the total number of students studying in only Arts and Commerce together?a)104b)156c)182d)52Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: Study the following information carefully and answer the given question.A hostel comprises of a total 3120 students which are first year students and second year students in the ratio of 7 : 5, respectively. All the students are studying in different streams namely Engineering, Commerce and Arts.One-fifth of the first year students are studying in only Commerce stream. Twenty per cent of the second year students are studying in only Arts stream. Ten percent of the first year students are studying in only Engineering stream. Twenty-four percent of the second year students are studying in only Engineering and Commerce streams together.The number of second year students studying in only Engineering streams is two hundred percent of the first year students studying in the same. One-thirteenth of the first year students are studying in all the three streams together. The respective ratio of first year students studying in only Commerce and Arts streams together to the second year students studying in the same is 2 : 1, respectively.Ten percent of the second year students are studying in only Commerce streams whereas, eight percent of the second year students are studying in only Commerce and Arts streams together. The remaining second year students are studying in all the three streams together. The number of first year students studying in only Engineering and Commerce streams together is fifty per cent of the number of second year students studying in the same. The remaining first year students are studying in only Arts streams.Q. What is the difference between the total number of second year students who are studying in only Engineering and Commerce together and the total number of students studying in only Arts and Commerce together?a)104b)156c)182d)52Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev