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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. The percentage point difference between the number of students who have passed in exacfly one subject and those who have passed in exactly three subjects is:
Correct answer is '25'. Can you explain this answer?
Verified Answer
In Rosemary school, which had 200 students in Class X, the results in ...
Percentage of students passing in exactly one subject = (25 + 15 + 30)/200 = 35% Percentage of students passing in all three subjects = 20/200 = 10% The percentage point difference between the two is 25.
Answer: 25
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In Rosemary school, which had 200 students in Class X, the results in ...



Solution:




Given Information:

- Number of students in Class X: 200
- Subjects: Mathematics, Science, English
- Number of students who passed in English was 20 less than those who did not pass in English
- 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
- 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




Calculation:

- Let the number of students who passed in exactly one subject be x
- Let the number of students who passed in exactly three subjects be y

From the given information, we can create the following equations:

1. x + 2y = 60 (From VI)
2. 2y = 200 - x - 90 (From II)

Solving the above equations, we get:

x = 50, y = 25

The percentage point difference between the number of students who have passed in exactly one subject and those who have passed in exactly three subjects is:

(50 - 25) / 200 * 100 = 25%

Therefore, the percentage point difference is 25%.


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A leading management institute recently absorbed a batch of 80 students for its two-yearPGP course in management.The criteria for selection were as follows:I. The candidate should have taken exactly one of the CAT or XAT examinations.II. The candidate must have :a.Secured atleast 96 percentile in the examination he or she had written. ORb.Secured a rank among the top 10 students in his or her university examination (university topper).III. The candidate must either be a fresher or have work experience of more than 3 years.Further information on the students the Institute had absorbed is as follows:IV. There were 45 students who had secured a rank among the top 10 students in their university examination. Of this, 33.3 % were freshers while 66.66% had appeared for CAT. V. 30 students had taken the XAT examination, of which 15 were freshers.VI.Of the students who had work experience greater than 3 years, 15 students were university toppers (i.e. in the top 10) and these students had also secured 96 or more percentile in the examination they had taken.VII.There were 20 students who had taken the CAT examination, had secured a rank among the top 10 students in their university examination, and also had work experience of more than 3 years.VIII.There were a total of 40 students who had work experience of more than 3 years.IX. No fresher satisfied both the criteria mentioned in (II) above.If 24 students had appeared for CAT and were university toppers (i.e. among the top10) but did not secure 96 percentile in the examination they had taken, then howmany of the selected students had taken the XAT examination, secured more than 96 percentile in the examination they had taken, and were among the toppers in their respective university examinations?

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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. The percentage point difference between the number of students who have passed in exacfly one subject and those who have passed in exactly three subjects is:Correct answer is '25'. Can you explain this answer?
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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. The percentage point difference between the number of students who have passed in exacfly one subject and those who have passed in exactly three subjects is:Correct answer is '25'. 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 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. The percentage point difference between the number of students who have passed in exacfly one subject and those who have passed in exactly three subjects is:Correct answer is '25'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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. The percentage point difference between the number of students who have passed in exacfly one subject and those who have passed in exactly three subjects is:Correct answer is '25'. Can you explain this answer?.
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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. The percentage point difference between the number of students who have passed in exacfly one subject and those who have passed in exactly three subjects is:Correct answer is '25'. Can you explain this answer?, a detailed solution for 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. The percentage point difference between the number of students who have passed in exacfly one subject and those who have passed in exactly three subjects is:Correct answer is '25'. Can you explain this answer? has been provided alongside types of 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. 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