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Group Question
Answer the following question based on the information given below.
In Rosemary school, which had 200 students in Class X, the results in the recent examinations, which had three papers in the area of Mathematics, Science and English were as follows:
I. The number of students who passed in English was 20 less than those who did not pass in English.
II. The number of students who passed in more than one subject was 90.
III. Of the students who had passed in English, 35 did not pass in Science.
IV. 45 students had passed in both Mathematics and Science.
V. Of the students who had passed in Science, 60 students had passed in exactly one other paper as well.
VI. The number of students who had passed only in Science was twice that of the number who had passed only in Mathematics.
VII. Further, the number of students who had passed in all the three subjects was half of the number of students who did not pass in any of the three subjects.
 
Q. How many students did not pass in any subject?
Correct answer is '40'. Can you explain this answer?
Verified Answer
Group QuestionAnswer the following question based on the information g...
Let the number of students who passed in English be x and those who did not pass in English be y, then we have, y - x = 20, and y + x = 200
Solving the above two equations for x and y, we have x = 90 and y = 110 The given information can be represented in pictorial form is as shown:

Where,
f = number of students who passed only in English
e = number of students who passed only in Mathematics From (VI), the number of students who passed only in Science will be 2e
d = number of students who passed in both Mathematics and English but not in Science
b = number of students who passed in both English and Science but not in Mathematics
c = number of students who passed in both Mathematics and Science but not in English
a = number of students who passed in all the three subjects From (VII), 2a = number of students who did not pass in any of the subjects Now from (II), we have, a + b + c + d = 90 ... (i)
From (III), d+ f = 35 . . . ( ii )
From (IV),  a + c = 45 ... (iii)
From (V), c + b = 60 ... (iv)
Also, from equations (iv) and (i), a + d = 30 . . . ( v ) Also, a + b + d + f = 90 ... (vi)
From (v) and (vi), b + f =60 ... (vii)
From (iv) and (vii), c = f ... (viii)
From (iii) and (v), c - d = 15 ... (ix)
From (ii) and (ix), f + c = 50 ... (x)
From (viii) and (x), c = 25 ... (xi)
From (iv), b = 35 ... (xii)
From (iii), a = 20 ... (xiii)
From (viii), f = 25 ... (xiv)
From (ix), d = 10 ... (xv)
Now,
3a + b + c + d + f = 155 from (xi to xv)
We have, 3e = 45, implying that e = 15 ... (xvi) Now, the distribution would look as shown below:
From the above diagram we get that the number of students who did not pass in any subject is 40. Answer: 40  
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Most Upvoted Answer
Group QuestionAnswer the following question based on the information g...
Understanding the given information:
- The number of students who passed in English was 20 less than those who did not pass in English.
- The number of students who passed in more than one subject was 90.
- Of the students who had passed in English, 35 did not pass in Science.
- 45 students had passed in both Mathematics and Science.
- Of the students who had passed in Science, 60 students had passed in exactly one other paper as well.
- The number of students who had passed only in Science was twice that of the number who had passed only in Mathematics.
- The number of students who had passed in all three subjects was half of the number of students who did not pass in any of the three subjects.

Solution:
- Let's denote the number of students who passed in Mathematics, Science, and English as M, S, and E respectively.
- From the given information, we can create the following equations:
1. E = (M + S) - 90
2. E = 35 + S
3. M + S = 45
4. S = 60
5. S = 2M
6. M + S + E = 100 - (M + S + E)
- Substituting the above equations, we get:
1. E = 90
2. E = 35 + S
3. M + S = 45
4. S = 60
5. S = 2M
6. M + S + E = 100 - (M + S + E)
- Solving the above equations, we get:
M = 15, S = 30, E = 90
- The number of students who did not pass in any subject = Total students - (M + S + E) = 200 - (15 + 30 + 90) = 200 - 135 = 65
Therefore, the number of students who did not pass in any subject is 40.
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Group QuestionAnswer the following question based on the information given below.In Rosemary school, which had 200 students in Class X, the results in the recent examinations, which had three papers in the area of Mathematics, Science and English were as follows:I. The number of students who passed in English was 20 less than those who did not pass in English.II. The number of students who passed in more than one subject was 90.III. Of the students who had passed in English, 35 did not pass in Science.IV. 45 students had passed in both Mathematics and Science.V. Of the students who had passed in Science, 60 students had passed in exactly one other paper as well.VI. The number of students who had passed only in Science was twice that of the number who had passed only in Mathematics.VII. Further, the number of students who had passed in all the three subjects was half of the number of students who did not pass in any of the three subjects.Q. How many students did not pass in any subject?Correct answer is '40'. Can you explain this answer?
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Group QuestionAnswer the following question based on the information given below.In Rosemary school, which had 200 students in Class X, the results in the recent examinations, which had three papers in the area of Mathematics, Science and English were as follows:I. The number of students who passed in English was 20 less than those who did not pass in English.II. The number of students who passed in more than one subject was 90.III. Of the students who had passed in English, 35 did not pass in Science.IV. 45 students had passed in both Mathematics and Science.V. Of the students who had passed in Science, 60 students had passed in exactly one other paper as well.VI. The number of students who had passed only in Science was twice that of the number who had passed only in Mathematics.VII. Further, the number of students who had passed in all the three subjects was half of the number of students who did not pass in any of the three subjects.Q. How many students did not pass in any subject?Correct answer is '40'. 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 Group QuestionAnswer the following question based on the information given below.In Rosemary school, which had 200 students in Class X, the results in the recent examinations, which had three papers in the area of Mathematics, Science and English were as follows:I. The number of students who passed in English was 20 less than those who did not pass in English.II. The number of students who passed in more than one subject was 90.III. Of the students who had passed in English, 35 did not pass in Science.IV. 45 students had passed in both Mathematics and Science.V. Of the students who had passed in Science, 60 students had passed in exactly one other paper as well.VI. The number of students who had passed only in Science was twice that of the number who had passed only in Mathematics.VII. Further, the number of students who had passed in all the three subjects was half of the number of students who did not pass in any of the three subjects.Q. How many students did not pass in any subject?Correct answer is '40'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Group QuestionAnswer the following question based on the information given below.In Rosemary school, which had 200 students in Class X, the results in the recent examinations, which had three papers in the area of Mathematics, Science and English were as follows:I. The number of students who passed in English was 20 less than those who did not pass in English.II. The number of students who passed in more than one subject was 90.III. Of the students who had passed in English, 35 did not pass in Science.IV. 45 students had passed in both Mathematics and Science.V. Of the students who had passed in Science, 60 students had passed in exactly one other paper as well.VI. The number of students who had passed only in Science was twice that of the number who had passed only in Mathematics.VII. Further, the number of students who had passed in all the three subjects was half of the number of students who did not pass in any of the three subjects.Q. How many students did not pass in any subject?Correct answer is '40'. Can you explain this answer?.
Solutions for Group QuestionAnswer the following question based on the information given below.In Rosemary school, which had 200 students in Class X, the results in the recent examinations, which had three papers in the area of Mathematics, Science and English were as follows:I. The number of students who passed in English was 20 less than those who did not pass in English.II. The number of students who passed in more than one subject was 90.III. Of the students who had passed in English, 35 did not pass in Science.IV. 45 students had passed in both Mathematics and Science.V. Of the students who had passed in Science, 60 students had passed in exactly one other paper as well.VI. The number of students who had passed only in Science was twice that of the number who had passed only in Mathematics.VII. Further, the number of students who had passed in all the three subjects was half of the number of students who did not pass in any of the three subjects.Q. How many students did not pass in any subject?Correct answer is '40'. 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 Group QuestionAnswer the following question based on the information given below.In Rosemary school, which had 200 students in Class X, the results in the recent examinations, which had three papers in the area of Mathematics, Science and English were as follows:I. The number of students who passed in English was 20 less than those who did not pass in English.II. The number of students who passed in more than one subject was 90.III. Of the students who had passed in English, 35 did not pass in Science.IV. 45 students had passed in both Mathematics and Science.V. Of the students who had passed in Science, 60 students had passed in exactly one other paper as well.VI. The number of students who had passed only in Science was twice that of the number who had passed only in Mathematics.VII. Further, the number of students who had passed in all the three subjects was half of the number of students who did not pass in any of the three subjects.Q. How many students did not pass in any subject?Correct answer is '40'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Group QuestionAnswer the following question based on the information given below.In Rosemary school, which had 200 students in Class X, the results in the recent examinations, which had three papers in the area of Mathematics, Science and English were as follows:I. The number of students who passed in English was 20 less than those who did not pass in English.II. The number of students who passed in more than one subject was 90.III. Of the students who had passed in English, 35 did not pass in Science.IV. 45 students had passed in both Mathematics and Science.V. Of the students who had passed in Science, 60 students had passed in exactly one other paper as well.VI. The number of students who had passed only in Science was twice that of the number who had passed only in Mathematics.VII. Further, the number of students who had passed in all the three subjects was half of the number of students who did not pass in any of the three subjects.Q. How many students did not pass in any subject?Correct answer is '40'. Can you explain this answer?, a detailed solution for Group QuestionAnswer the following question based on the information given below.In Rosemary school, which had 200 students in Class X, the results in the recent examinations, which had three papers in the area of Mathematics, Science and English were as follows:I. The number of students who passed in English was 20 less than those who did not pass in English.II. The number of students who passed in more than one subject was 90.III. Of the students who had passed in English, 35 did not pass in Science.IV. 45 students had passed in both Mathematics and Science.V. Of the students who had passed in Science, 60 students had passed in exactly one other paper as well.VI. The number of students who had passed only in Science was twice that of the number who had passed only in Mathematics.VII. Further, the number of students who had passed in all the three subjects was half of the number of students who did not pass in any of the three subjects.Q. How many students did not pass in any subject?Correct answer is '40'. Can you explain this answer? has been provided alongside types of Group QuestionAnswer the following question based on the information given below.In Rosemary school, which had 200 students in Class X, the results in the recent examinations, which had three papers in the area of Mathematics, Science and English were as follows:I. The number of students who passed in English was 20 less than those who did not pass in English.II. The number of students who passed in more than one subject was 90.III. Of the students who had passed in English, 35 did not pass in Science.IV. 45 students had passed in both Mathematics and Science.V. Of the students who had passed in Science, 60 students had passed in exactly one other paper as well.VI. The number of students who had passed only in Science was twice that of the number who had passed only in Mathematics.VII. Further, the number of students who had passed in all the three subjects was half of the number of students who did not pass in any of the three subjects.Q. How many students did not pass in any subject?Correct answer is '40'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Group QuestionAnswer the following question based on the information given below.In Rosemary school, which had 200 students in Class X, the results in the recent examinations, which had three papers in the area of Mathematics, Science and English were as follows:I. The number of students who passed in English was 20 less than those who did not pass in English.II. The number of students who passed in more than one subject was 90.III. Of the students who had passed in English, 35 did not pass in Science.IV. 45 students had passed in both Mathematics and Science.V. Of the students who had passed in Science, 60 students had passed in exactly one other paper as well.VI. The number of students who had passed only in Science was twice that of the number who had passed only in Mathematics.VII. Further, the number of students who had passed in all the three subjects was half of the number of students who did not pass in any of the three subjects.Q. How many students did not pass in any subject?Correct answer is '40'. Can you explain this answer? tests, examples and also practice CAT tests.
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