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ABC College conducts a workshop for its students. There are 9 lectures in the workshop. Prof A, Prof B, Prof C, Prof D, Prof E, Prof F, Prof G, Prof H and Prof I take the lectures, not necessarily in the same order. The lectures are numbered as 1, 2, 3 ... 9. Prof I is the dean of the college and so always takes the first lecture. It is also known that:
I. Lecture numbers of B, H, E and C are even.
II. Lecture number of B + Lecture number of E = Lecture number of C + Lecture number of H
III. Lecture number of A + Lecture number of G = Lecture number of F + Lecture number of D
IV. Lecture number of G is not a prime number, while lecture number of C is a prime number.
 
Q.Who took lecture number 3?
  • a)
    A
  • b)
    G
  • c)
    F
  • d)
    D
  • e)
    B
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
ABC College conducts a workshop for its students. There are 9 lectures...
From the solution to the previous question, we can see that the 3rd lecture was taken by Prof A.
Hence, option 1.
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Most Upvoted Answer
ABC College conducts a workshop for its students. There are 9 lectures...
Given Information:
- Prof I always takes the first lecture.
- Lecture numbers of B, H, E, and C are even.
- Lecture number of B = Lecture number of E = Lecture number of C = Lecture number of H.
- Lecture number of A + Lecture number of G = Lecture number of F + Lecture number of D.
- Lecture number of G is not a prime number, while lecture number of C is a prime number.

Analysis:
- From the given information, we can conclude that the lecture numbers of B, H, E, and C are even. Therefore, they can be 2, 4, 6, or 8.
- We also know that the lecture numbers of B, E, C, and H are the same.
- Additionally, the lecture numbers of A, G, F, and D must add up to an even number since they are consecutive lectures.

Solution:
1. Lecture 1: Prof I (Dean) always takes the first lecture.
2. Lecture 2: Since the lecture numbers of B, H, E, and C are even, one of them must be 2. Let's assume B = 2.
3. Lecture 3: The lecture numbers of B, E, C, and H are the same. Since B = 2, E and C must also be 2. Therefore, E = 2.
4. Lecture 4: Since B, E, C, and H have the same lecture number, H must also be 2. Therefore, H = 2.
5. Lecture 5: The lecture numbers of A, G, F, and D must add up to an even number. Since H = 2, G cannot be 1. So, let's assume G = 4.
6. Lecture 6: The lecture numbers of A, G, F, and D must add up to an even number. Since G = 4, A cannot be 5. So, let's assume A = 6.
7. Lecture 7: The lecture numbers of A, G, F, and D must add up to an even number. Since A = 6, F cannot be 7. So, let's assume F = 8.
8. Lecture 8: The lecture numbers of A, G, F, and D must add up to an even number. Since F = 8, D cannot be 9. So, let's assume D = 2.
9. Lecture 9: The remaining lecture number is assigned to Prof C. Since C must be a prime number, it can only be 3.

Therefore, Prof A took lecture number 3.
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ABC College conducts a workshop for its students. There are 9 lectures in the workshop. Prof A, Prof B, Prof C, Prof D, Prof E, Prof F, Prof G, Prof H and Prof I take the lectures, not necessarily in the same order. The lectures are numbered as 1, 2, 3 ... 9. Prof I is the dean of the college and so always takes the first lecture. It is also known that:I. Lecture numbers of B, H, E and C are even.II. Lecture number of B + Lecture number of E = Lecture number of C + Lecture number of HIII. Lecture number of A + Lecture number of G = Lecture number of F + Lecture number of DIV. Lecture number of G is not a prime number, while lecture number of C is a prime number.Q.Who took lecture number 3?a)Ab)Gc)Fd)De)BCorrect answer is option 'A'. Can you explain this answer?
Question Description
ABC College conducts a workshop for its students. There are 9 lectures in the workshop. Prof A, Prof B, Prof C, Prof D, Prof E, Prof F, Prof G, Prof H and Prof I take the lectures, not necessarily in the same order. The lectures are numbered as 1, 2, 3 ... 9. Prof I is the dean of the college and so always takes the first lecture. It is also known that:I. Lecture numbers of B, H, E and C are even.II. Lecture number of B + Lecture number of E = Lecture number of C + Lecture number of HIII. Lecture number of A + Lecture number of G = Lecture number of F + Lecture number of DIV. Lecture number of G is not a prime number, while lecture number of C is a prime number.Q.Who took lecture number 3?a)Ab)Gc)Fd)De)BCorrect answer is option 'A'. 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 ABC College conducts a workshop for its students. There are 9 lectures in the workshop. Prof A, Prof B, Prof C, Prof D, Prof E, Prof F, Prof G, Prof H and Prof I take the lectures, not necessarily in the same order. The lectures are numbered as 1, 2, 3 ... 9. Prof I is the dean of the college and so always takes the first lecture. It is also known that:I. Lecture numbers of B, H, E and C are even.II. Lecture number of B + Lecture number of E = Lecture number of C + Lecture number of HIII. Lecture number of A + Lecture number of G = Lecture number of F + Lecture number of DIV. Lecture number of G is not a prime number, while lecture number of C is a prime number.Q.Who took lecture number 3?a)Ab)Gc)Fd)De)BCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ABC College conducts a workshop for its students. There are 9 lectures in the workshop. Prof A, Prof B, Prof C, Prof D, Prof E, Prof F, Prof G, Prof H and Prof I take the lectures, not necessarily in the same order. The lectures are numbered as 1, 2, 3 ... 9. Prof I is the dean of the college and so always takes the first lecture. It is also known that:I. Lecture numbers of B, H, E and C are even.II. Lecture number of B + Lecture number of E = Lecture number of C + Lecture number of HIII. Lecture number of A + Lecture number of G = Lecture number of F + Lecture number of DIV. Lecture number of G is not a prime number, while lecture number of C is a prime number.Q.Who took lecture number 3?a)Ab)Gc)Fd)De)BCorrect answer is option 'A'. Can you explain this answer?.
Solutions for ABC College conducts a workshop for its students. There are 9 lectures in the workshop. Prof A, Prof B, Prof C, Prof D, Prof E, Prof F, Prof G, Prof H and Prof I take the lectures, not necessarily in the same order. The lectures are numbered as 1, 2, 3 ... 9. Prof I is the dean of the college and so always takes the first lecture. It is also known that:I. Lecture numbers of B, H, E and C are even.II. Lecture number of B + Lecture number of E = Lecture number of C + Lecture number of HIII. Lecture number of A + Lecture number of G = Lecture number of F + Lecture number of DIV. Lecture number of G is not a prime number, while lecture number of C is a prime number.Q.Who took lecture number 3?a)Ab)Gc)Fd)De)BCorrect answer is option 'A'. 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 ABC College conducts a workshop for its students. There are 9 lectures in the workshop. Prof A, Prof B, Prof C, Prof D, Prof E, Prof F, Prof G, Prof H and Prof I take the lectures, not necessarily in the same order. The lectures are numbered as 1, 2, 3 ... 9. Prof I is the dean of the college and so always takes the first lecture. It is also known that:I. Lecture numbers of B, H, E and C are even.II. Lecture number of B + Lecture number of E = Lecture number of C + Lecture number of HIII. Lecture number of A + Lecture number of G = Lecture number of F + Lecture number of DIV. Lecture number of G is not a prime number, while lecture number of C is a prime number.Q.Who took lecture number 3?a)Ab)Gc)Fd)De)BCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of ABC College conducts a workshop for its students. There are 9 lectures in the workshop. Prof A, Prof B, Prof C, Prof D, Prof E, Prof F, Prof G, Prof H and Prof I take the lectures, not necessarily in the same order. The lectures are numbered as 1, 2, 3 ... 9. Prof I is the dean of the college and so always takes the first lecture. It is also known that:I. Lecture numbers of B, H, E and C are even.II. Lecture number of B + Lecture number of E = Lecture number of C + Lecture number of HIII. Lecture number of A + Lecture number of G = Lecture number of F + Lecture number of DIV. Lecture number of G is not a prime number, while lecture number of C is a prime number.Q.Who took lecture number 3?a)Ab)Gc)Fd)De)BCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for ABC College conducts a workshop for its students. There are 9 lectures in the workshop. Prof A, Prof B, Prof C, Prof D, Prof E, Prof F, Prof G, Prof H and Prof I take the lectures, not necessarily in the same order. The lectures are numbered as 1, 2, 3 ... 9. Prof I is the dean of the college and so always takes the first lecture. It is also known that:I. Lecture numbers of B, H, E and C are even.II. Lecture number of B + Lecture number of E = Lecture number of C + Lecture number of HIII. Lecture number of A + Lecture number of G = Lecture number of F + Lecture number of DIV. Lecture number of G is not a prime number, while lecture number of C is a prime number.Q.Who took lecture number 3?a)Ab)Gc)Fd)De)BCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of ABC College conducts a workshop for its students. There are 9 lectures in the workshop. Prof A, Prof B, Prof C, Prof D, Prof E, Prof F, Prof G, Prof H and Prof I take the lectures, not necessarily in the same order. The lectures are numbered as 1, 2, 3 ... 9. Prof I is the dean of the college and so always takes the first lecture. It is also known that:I. Lecture numbers of B, H, E and C are even.II. Lecture number of B + Lecture number of E = Lecture number of C + Lecture number of HIII. Lecture number of A + Lecture number of G = Lecture number of F + Lecture number of DIV. Lecture number of G is not a prime number, while lecture number of C is a prime number.Q.Who took lecture number 3?a)Ab)Gc)Fd)De)BCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice ABC College conducts a workshop for its students. There are 9 lectures in the workshop. Prof A, Prof B, Prof C, Prof D, Prof E, Prof F, Prof G, Prof H and Prof I take the lectures, not necessarily in the same order. The lectures are numbered as 1, 2, 3 ... 9. Prof I is the dean of the college and so always takes the first lecture. It is also known that:I. Lecture numbers of B, H, E and C are even.II. Lecture number of B + Lecture number of E = Lecture number of C + Lecture number of HIII. Lecture number of A + Lecture number of G = Lecture number of F + Lecture number of DIV. Lecture number of G is not a prime number, while lecture number of C is a prime number.Q.Who took lecture number 3?a)Ab)Gc)Fd)De)BCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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