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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.Prof G took the
  • a)
    7 th lecture 
  • b)
    9th lecture
  • c)
    1st lecture
  • d)
    3rd lecture
  • e)
    5th lecture
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
ABC College conducts a workshop for its students. There are 9 lectures...
From the solution to the 1st question of this set, we can conclude that Prof G took the 9th lecture.
Hence, option 2.
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ABC College conducts a workshop for its students. There are 9 lectures...
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ABC College conducts a workshop for its students. There are 9 lectures...
To solve this question, we need to analyze the given information and make deductions based on it. Let's go step by step:

Step 1: Prof I always takes the first lecture. This means that Prof I took the 1st lecture.

Step 2: Lecture numbers of B, H, E, and C are even. This means that the lecture numbers of B, H, E, and C can be 2, 4, 6, or 8.

Step 3: Lecture number of B = Lecture number of E = Lecture number of C = Lecture number of H. Let's assume that the lecture number of B is x. Then, the lecture numbers of B, E, C, and H will be x, x, x, and x respectively.

Step 4: Lecture number of A + Lecture number of G = Lecture number of F + Lecture number of D. We don't have any specific information about the lecture numbers of A, G, F, and D, so we can't make any definite deductions from this.

Step 5: Lecture number of G is not a prime number, while the lecture number of C is a prime number. This tells us that the lecture number of G cannot be 2, 3, 5, or 7, as these are prime numbers. Therefore, the lecture number of G must be 4, 6, or 8.

Step 6: The lecture numbers of B, H, E, and C are even. Since the lecture number of G cannot be 2 or 8 (as they are already assigned to B and C), the lecture number of G must be 4.

Step 7: Now, we know that the lecture number of G is 4. Using the information from Step 3, we can conclude that the lecture numbers of B, H, E, and C are also 4.

Step 8: The lecture number of G is 4, so the lecture number of F + the lecture number of D = 4. The only possible combination of lecture numbers that adds up to 4 is 1 + 3. Therefore, the lecture number of F must be 1 and the lecture number of D must be 3.

Step 9: The lecture number of A + the lecture number of G = the lecture number of F + the lecture number of D. The lecture number of G is 4, the lecture number of F is 1, and the lecture number of D is 3. Therefore, the lecture number of A must be 2.

Step 10: We have now determined the lecture numbers of A, B, C, D, E, F, and G. The remaining lecture numbers are 5, 6, and 7. Since the lecture number of C is a prime number, and 5 is the only prime number among the remaining options, the lecture number of C must be 5.

Step 11: The lecture number of H is the same as the lecture number of C, so the lecture number of H must also be 5.

Step 12: The lecture number of E is the same as the lecture number
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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.Prof G took thea)7 th lectureb)9th lecturec)1st lectured)3rd lecturee)5th lectureCorrect answer is option 'B'. Can you explain this answer?
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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.Prof G took thea)7 th lectureb)9th lecturec)1st lectured)3rd lecturee)5th lectureCorrect answer is option 'B'. 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.Prof G took thea)7 th lectureb)9th lecturec)1st lectured)3rd lecturee)5th lectureCorrect answer is option 'B'. 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.Prof G took thea)7 th lectureb)9th lecturec)1st lectured)3rd lecturee)5th lectureCorrect answer is option 'B'. 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.Prof G took thea)7 th lectureb)9th lecturec)1st lectured)3rd lecturee)5th lectureCorrect answer is option 'B'. 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.
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