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The scorecards of 150 students in a school are collected and analysed. The scorecards have scores for only three subjects viz. Science, Maths and English. For each of these subjects, the qualifying marks are 80% of the total. The number of students who got qualifying marks in all three subjects is half the number of students who have got qualifying marks in only English. The sum of the number of students getting qualifying marks in only Maths and only Science is equal to the number of students getting qualifying marks in both Science and Maths, but not English.35 students got qualifying marks in Science and English but not Maths while 20 students got qualifying marks in English and Maths but not Science. Each student qualified in atleast one subject. 100 students qualified in English.
 
Q. How many students got the qualifying marks in Science?
  • a)
    85
  • b)
    75
  • c)
    80
  • d)
    Cannot be determined
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The scorecards of 150 students in a school are collected and analysed....
Consider the solution to the previous question.
Every student qualified in atleast one subject.
a + b + c + d + e+ f + g = 150
Also, c + d + e + f = 100 and a + g = b
2b + 100 = 150
a + g = b = 25
Number of students that got the qualifying marks in Science = a + 6 + c + d
However, the individual value of a and g cannot be found.
Hence, the required sum cannot be found.
Hence, option 4.
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The scorecards of 150 students in a school are collected and analysed. The scorecards have scores for only three subjects viz. Science, Maths and English. For each of these subjects, the qualifying marks are 80% of the total. The number of students who got qualifying marks in all three subjects is half the number of students who have got qualifying marks in only English. The sum of the number of students getting qualifying marks in only Maths and only Science is equal to the number of students getting qualifying marks in both Science and Maths, but not English.35 students got qualifying marks in Science and English but not Maths while 20 students got qualifying marks in English and Maths but not Science. Each student qualified in atleast one subject. 100 students qualified in English.Q. How many students got the qualifying marks in Science?a)85b)75c)80d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?
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The scorecards of 150 students in a school are collected and analysed. The scorecards have scores for only three subjects viz. Science, Maths and English. For each of these subjects, the qualifying marks are 80% of the total. The number of students who got qualifying marks in all three subjects is half the number of students who have got qualifying marks in only English. The sum of the number of students getting qualifying marks in only Maths and only Science is equal to the number of students getting qualifying marks in both Science and Maths, but not English.35 students got qualifying marks in Science and English but not Maths while 20 students got qualifying marks in English and Maths but not Science. Each student qualified in atleast one subject. 100 students qualified in English.Q. How many students got the qualifying marks in Science?a)85b)75c)80d)Cannot be determinedCorrect answer is option 'D'. 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 The scorecards of 150 students in a school are collected and analysed. The scorecards have scores for only three subjects viz. Science, Maths and English. For each of these subjects, the qualifying marks are 80% of the total. The number of students who got qualifying marks in all three subjects is half the number of students who have got qualifying marks in only English. The sum of the number of students getting qualifying marks in only Maths and only Science is equal to the number of students getting qualifying marks in both Science and Maths, but not English.35 students got qualifying marks in Science and English but not Maths while 20 students got qualifying marks in English and Maths but not Science. Each student qualified in atleast one subject. 100 students qualified in English.Q. How many students got the qualifying marks in Science?a)85b)75c)80d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The scorecards of 150 students in a school are collected and analysed. The scorecards have scores for only three subjects viz. Science, Maths and English. For each of these subjects, the qualifying marks are 80% of the total. The number of students who got qualifying marks in all three subjects is half the number of students who have got qualifying marks in only English. The sum of the number of students getting qualifying marks in only Maths and only Science is equal to the number of students getting qualifying marks in both Science and Maths, but not English.35 students got qualifying marks in Science and English but not Maths while 20 students got qualifying marks in English and Maths but not Science. Each student qualified in atleast one subject. 100 students qualified in English.Q. How many students got the qualifying marks in Science?a)85b)75c)80d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?.
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