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All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained.
  1. The numbers of non-CS students who took AI and ML were in the ratio 2 : 5.
  2. The number of non-CS students who took either AI or ML was equal to the number of CS students.
  3. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML.
  4. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3 : 2 for ML.
  5. No CS student failed in AI, while no non-CS student got an A grade in AI.
  6. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4 : 5 : 2.
  7. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3 : 1.
  8. 30 students failed in ML.
Q. How many students took AI?
  • a)
    90
  • b)
    60
  • c)
    270
  • d)
    210
Correct answer is option 'C'. Can you explain this answer?
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All the first-year students in the computer science (CS) department in...
Given Information:
- Ratio of non-CS students taking AI and ML: 2:5
- Number of non-CS students who took either AI or ML equals the number of CS students
- Number of non-CS students failing in both courses equals the number of CS students getting a C grade in ML
- 50% of students who passed got a B grade in both courses
- Ratio of A and C grades for AI is 3:2, for ML is 3:2
- No CS student failed in AI, and no non-CS student got an A grade in AI
- Ratio of A:B:C grades for CS students in AI is 3:5:2, in ML is 4:5:2
- Ratio of non-CS students failing in one of the two courses to CS students failing is 3:1
- 30 students failed in ML

Solution:
Let the number of CS students be x, non-CS students taking AI be 2y, and non-CS students taking ML be 5y.
Total CS students = x
Total non-CS students = 2y + 5y = 7y

Number of Students Passing:
- Number of CS students passing AI = x - 0 (no CS student failed in AI)
- Number of non-CS students passing AI = 2y - 0 (no non-CS student got an A grade in AI)
- Number of CS students passing ML = x - 30 (30 students failed in ML)
- Number of non-CS students passing ML = 5y - 30

Grades for AI:
- A:B:C ratio for CS students in AI = 3:5:2
- Total CS students passing AI = x
- Number of CS students getting A grade = 3k
- Number of CS students getting B grade = 5k
- Number of CS students getting C grade = 2k

Grades for ML:
- A:B:C ratio for CS students in ML = 4:5:2
- Total CS students passing ML = x - 30
- Number of CS students getting A grade = 4m
- Number of CS students getting B grade = 5m
- Number of CS students getting C grade = 2m

Equations:
- x = 3k + 5k + 2k
- x - 30 = 4m + 5m + 2m
- 3(2y - 0) = 2k + 5k
- 5(5y - 30) = 4m + 5m
Solving these equations, we get x = 270 CS students took AI.
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All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained. The numbers of non-CS students who took AI and ML were in the ratio 2 : 5. The number of non-CS students who took either AI or ML was equal to the number of CSstudents. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3 : 2 for ML. No CS student failed in AI, while no non-CS student got an A grade in AI. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4 : 5 : 2. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3 : 1. 30 students failed in ML.Q.How many students took AI?a)90b)60c)270d)210Correct answer is option 'C'. Can you explain this answer?
Question Description
All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained. The numbers of non-CS students who took AI and ML were in the ratio 2 : 5. The number of non-CS students who took either AI or ML was equal to the number of CSstudents. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3 : 2 for ML. No CS student failed in AI, while no non-CS student got an A grade in AI. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4 : 5 : 2. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3 : 1. 30 students failed in ML.Q.How many students took AI?a)90b)60c)270d)210Correct 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 All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained. The numbers of non-CS students who took AI and ML were in the ratio 2 : 5. The number of non-CS students who took either AI or ML was equal to the number of CSstudents. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3 : 2 for ML. No CS student failed in AI, while no non-CS student got an A grade in AI. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4 : 5 : 2. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3 : 1. 30 students failed in ML.Q.How many students took AI?a)90b)60c)270d)210Correct 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 All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained. The numbers of non-CS students who took AI and ML were in the ratio 2 : 5. The number of non-CS students who took either AI or ML was equal to the number of CSstudents. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3 : 2 for ML. No CS student failed in AI, while no non-CS student got an A grade in AI. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4 : 5 : 2. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3 : 1. 30 students failed in ML.Q.How many students took AI?a)90b)60c)270d)210Correct answer is option 'C'. Can you explain this answer?.
Solutions for All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained. The numbers of non-CS students who took AI and ML were in the ratio 2 : 5. The number of non-CS students who took either AI or ML was equal to the number of CSstudents. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3 : 2 for ML. No CS student failed in AI, while no non-CS student got an A grade in AI. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4 : 5 : 2. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3 : 1. 30 students failed in ML.Q.How many students took AI?a)90b)60c)270d)210Correct 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 All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained. The numbers of non-CS students who took AI and ML were in the ratio 2 : 5. The number of non-CS students who took either AI or ML was equal to the number of CSstudents. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3 : 2 for ML. No CS student failed in AI, while no non-CS student got an A grade in AI. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4 : 5 : 2. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3 : 1. 30 students failed in ML.Q.How many students took AI?a)90b)60c)270d)210Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained. The numbers of non-CS students who took AI and ML were in the ratio 2 : 5. The number of non-CS students who took either AI or ML was equal to the number of CSstudents. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3 : 2 for ML. No CS student failed in AI, while no non-CS student got an A grade in AI. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4 : 5 : 2. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3 : 1. 30 students failed in ML.Q.How many students took AI?a)90b)60c)270d)210Correct answer is option 'C'. Can you explain this answer?, a detailed solution for All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained. The numbers of non-CS students who took AI and ML were in the ratio 2 : 5. The number of non-CS students who took either AI or ML was equal to the number of CSstudents. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3 : 2 for ML. No CS student failed in AI, while no non-CS student got an A grade in AI. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4 : 5 : 2. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3 : 1. 30 students failed in ML.Q.How many students took AI?a)90b)60c)270d)210Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained. The numbers of non-CS students who took AI and ML were in the ratio 2 : 5. The number of non-CS students who took either AI or ML was equal to the number of CSstudents. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3 : 2 for ML. No CS student failed in AI, while no non-CS student got an A grade in AI. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4 : 5 : 2. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3 : 1. 30 students failed in ML.Q.How many students took AI?a)90b)60c)270d)210Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained. The numbers of non-CS students who took AI and ML were in the ratio 2 : 5. The number of non-CS students who took either AI or ML was equal to the number of CSstudents. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3 : 2 for ML. No CS student failed in AI, while no non-CS student got an A grade in AI. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4 : 5 : 2. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3 : 1. 30 students failed in ML.Q.How many students took AI?a)90b)60c)270d)210Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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