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CLAT Exam  >  CLAT Questions  >  A college received fifty applications for a c... Start Learning for Free
A college received fifty applications for a certain course. In the qualifying examination, one-tenth of them secured marks in 90-95% range. Within remaining segment, three-fifths of them secured marks in 75-90% range. The rest secured below 75%. To get admission, the following restrictions hold good: 
(i) No student who has scored below 75% can seek admission to Physics course. 
(ii) No student is allowed to opt Physics without opting Mathematics. 
(iii) No student is allowed to opt Physics and Astrophysics simultaneously. 
(iv) To opt Mathematics or Astrophysics, a student should have scored at least 70% in the qualifying examination.
Q. Which one of the following alternatives is possible?
  • a)
    Ninety percent of the applicants are admitted to Physics course
  • b)
    Thirty-five percent of the applicants who are otherwise ineligible to join Physics course are admitted to Mathematics and Astrophysics course.
  • c)
    Students of Physics course outnumber those of Mathematics
  • d)
    Whoever is eligible to study Mathematics is also eligible to study Physics.
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A college received fifty applications for a certain course. In the qua...
Going by the information 10% of the students i.e. 5 Students scored in the 90%-95% range. 3/5th of the remaining 45 students, i.e. 27 students scored in range 75% - 90%. The balance 18 students scored below 75%.
Option A is not possible because a maximum of 32 students who have scored 75% and above can opt for Physics. This is a maximum of 64 %.
Option C is also not possible because at best 32 students can opt for Physics and each of them has to opt for Mathematics as per restrictions given. Even if no student who scores below 75% opts for Mathematics, the number of students taking Physics will still equal the number of students taking mathematics. D is also not possible.
To be eligible to study Physics a student has to score above 75% while to study Mathematics a student has to score above 70%. So there would some students scoring between 70% and 75% who would be eligible to study Mathematics but not Physics.
B is the only option possible.
If 35 % of those who scored below 75% scored between 75% and 70% then they can opt for Mathematics and Astrophysics.
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A college received fifty applications for a certain course. In the qua...
Thirty five percent of the applicants who are otherwise ineligible to join physics course are admitted to mathematics and astrophysics course is the only option. If 35 % of those who scored below 75% scored between 75% and 70% then they can opt for mathematics and astrophysics
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A college received fifty applications for a certain course. In the qua...
Understanding the Application Breakdown
The total applications received are 50. The distribution of marks is as follows:
- One-tenth in 90-95% range:
- 50 / 10 = 5 students
- Remaining applications:
- 50 - 5 = 45 students
- Three-fifths in 75-90% range:
- 3/5 of 45 = 27 students
- Remaining students below 75%:
- 45 - 27 = 18 students
Eligibility for Admission to Physics
Based on the criteria:
- No student below 75%:
- Only 5 (90-95%) + 27 (75-90%) = 32 students are eligible for Physics.
- Mathematics and Astrophysics Requirements:
- Students must score at least 70% to opt for Mathematics or Astrophysics.
Evaluation of Options
- Option A: Ninety percent of applicants admitted to Physics course (45 students). This is not possible since only 32 are eligible.
- Option B: Thirty-five percent of ineligible students (those below 75%) admitted to Mathematics and Astrophysics.
- 35% of 18 = 6.3 students, which can round to 6 students. This is feasible.
- Option C: Students of Physics course outnumber those of Mathematics. This is not possible since only 32 are eligible for Physics, and some will be admitted to Mathematics.
- Option D: Whoever is eligible to study Mathematics is also eligible for Physics. This is incorrect since some students may score between 70-75%, making them eligible for Mathematics, but not for Physics.
Conclusion
The only valid option is B, as it allows for the admission of a reasonable number of students who are otherwise ineligible for Physics.
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A college received fifty applications for a certain course. In the qualifying examination, one-tenth of them secured marks in 90-95% range. Within remaining segment, three-fifths of them secured marks in 75-90% range. The rest secured below 75%. To get admission, the following restrictions hold good:(i) No student who has scored below 75% can seek admission to Physics course.(ii) No student is allowed to opt Physics without opting Mathematics.(iii) No student is allowed to opt Physics and Astrophysics simultaneously.(iv) To opt Mathematics or Astrophysics, a student should have scored at least 70% in the qualifying examination.Q. Which one of the following alternatives is possible?a)Ninety percent of the applicants are admitted to Physics courseb)Thirty-five percent of the applicants who are otherwise ineligible to join Physics course are admitted to Mathematics and Astrophysics course.c)Students of Physics course outnumber those of Mathematicsd)Whoever is eligible to study Mathematics is also eligible to study Physics.Correct answer is option 'B'. Can you explain this answer?
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A college received fifty applications for a certain course. In the qualifying examination, one-tenth of them secured marks in 90-95% range. Within remaining segment, three-fifths of them secured marks in 75-90% range. The rest secured below 75%. To get admission, the following restrictions hold good:(i) No student who has scored below 75% can seek admission to Physics course.(ii) No student is allowed to opt Physics without opting Mathematics.(iii) No student is allowed to opt Physics and Astrophysics simultaneously.(iv) To opt Mathematics or Astrophysics, a student should have scored at least 70% in the qualifying examination.Q. Which one of the following alternatives is possible?a)Ninety percent of the applicants are admitted to Physics courseb)Thirty-five percent of the applicants who are otherwise ineligible to join Physics course are admitted to Mathematics and Astrophysics course.c)Students of Physics course outnumber those of Mathematicsd)Whoever is eligible to study Mathematics is also eligible to study Physics.Correct answer is option 'B'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about A college received fifty applications for a certain course. In the qualifying examination, one-tenth of them secured marks in 90-95% range. Within remaining segment, three-fifths of them secured marks in 75-90% range. The rest secured below 75%. To get admission, the following restrictions hold good:(i) No student who has scored below 75% can seek admission to Physics course.(ii) No student is allowed to opt Physics without opting Mathematics.(iii) No student is allowed to opt Physics and Astrophysics simultaneously.(iv) To opt Mathematics or Astrophysics, a student should have scored at least 70% in the qualifying examination.Q. Which one of the following alternatives is possible?a)Ninety percent of the applicants are admitted to Physics courseb)Thirty-five percent of the applicants who are otherwise ineligible to join Physics course are admitted to Mathematics and Astrophysics course.c)Students of Physics course outnumber those of Mathematicsd)Whoever is eligible to study Mathematics is also eligible to study Physics.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A college received fifty applications for a certain course. In the qualifying examination, one-tenth of them secured marks in 90-95% range. Within remaining segment, three-fifths of them secured marks in 75-90% range. The rest secured below 75%. To get admission, the following restrictions hold good:(i) No student who has scored below 75% can seek admission to Physics course.(ii) No student is allowed to opt Physics without opting Mathematics.(iii) No student is allowed to opt Physics and Astrophysics simultaneously.(iv) To opt Mathematics or Astrophysics, a student should have scored at least 70% in the qualifying examination.Q. Which one of the following alternatives is possible?a)Ninety percent of the applicants are admitted to Physics courseb)Thirty-five percent of the applicants who are otherwise ineligible to join Physics course are admitted to Mathematics and Astrophysics course.c)Students of Physics course outnumber those of Mathematicsd)Whoever is eligible to study Mathematics is also eligible to study Physics.Correct answer is option 'B'. Can you explain this answer?.
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Which one of the following alternatives is possible?a)Ninety percent of the applicants are admitted to Physics courseb)Thirty-five percent of the applicants who are otherwise ineligible to join Physics course are admitted to Mathematics and Astrophysics course.c)Students of Physics course outnumber those of Mathematicsd)Whoever is eligible to study Mathematics is also eligible to study Physics.Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A college received fifty applications for a certain course. In the qualifying examination, one-tenth of them secured marks in 90-95% range. Within remaining segment, three-fifths of them secured marks in 75-90% range. The rest secured below 75%. To get admission, the following restrictions hold good:(i) No student who has scored below 75% can seek admission to Physics course.(ii) No student is allowed to opt Physics without opting Mathematics.(iii) No student is allowed to opt Physics and Astrophysics simultaneously.(iv) To opt Mathematics or Astrophysics, a student should have scored at least 70% in the qualifying examination.Q. Which one of the following alternatives is possible?a)Ninety percent of the applicants are admitted to Physics courseb)Thirty-five percent of the applicants who are otherwise ineligible to join Physics course are admitted to Mathematics and Astrophysics course.c)Students of Physics course outnumber those of Mathematicsd)Whoever is eligible to study Mathematics is also eligible to study Physics.Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A college received fifty applications for a certain course. In the qualifying examination, one-tenth of them secured marks in 90-95% range. Within remaining segment, three-fifths of them secured marks in 75-90% range. The rest secured below 75%. To get admission, the following restrictions hold good:(i) No student who has scored below 75% can seek admission to Physics course.(ii) No student is allowed to opt Physics without opting Mathematics.(iii) No student is allowed to opt Physics and Astrophysics simultaneously.(iv) To opt Mathematics or Astrophysics, a student should have scored at least 70% in the qualifying examination.Q. Which one of the following alternatives is possible?a)Ninety percent of the applicants are admitted to Physics courseb)Thirty-five percent of the applicants who are otherwise ineligible to join Physics course are admitted to Mathematics and Astrophysics course.c)Students of Physics course outnumber those of Mathematicsd)Whoever is eligible to study Mathematics is also eligible to study Physics.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A college received fifty applications for a certain course. In the qualifying examination, one-tenth of them secured marks in 90-95% range. Within remaining segment, three-fifths of them secured marks in 75-90% range. The rest secured below 75%. To get admission, the following restrictions hold good:(i) No student who has scored below 75% can seek admission to Physics course.(ii) No student is allowed to opt Physics without opting Mathematics.(iii) No student is allowed to opt Physics and Astrophysics simultaneously.(iv) To opt Mathematics or Astrophysics, a student should have scored at least 70% in the qualifying examination.Q. Which one of the following alternatives is possible?a)Ninety percent of the applicants are admitted to Physics courseb)Thirty-five percent of the applicants who are otherwise ineligible to join Physics course are admitted to Mathematics and Astrophysics course.c)Students of Physics course outnumber those of Mathematicsd)Whoever is eligible to study Mathematics is also eligible to study Physics.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A college received fifty applications for a certain course. In the qualifying examination, one-tenth of them secured marks in 90-95% range. Within remaining segment, three-fifths of them secured marks in 75-90% range. The rest secured below 75%. To get admission, the following restrictions hold good:(i) No student who has scored below 75% can seek admission to Physics course.(ii) No student is allowed to opt Physics without opting Mathematics.(iii) No student is allowed to opt Physics and Astrophysics simultaneously.(iv) To opt Mathematics or Astrophysics, a student should have scored at least 70% in the qualifying examination.Q. Which one of the following alternatives is possible?a)Ninety percent of the applicants are admitted to Physics courseb)Thirty-five percent of the applicants who are otherwise ineligible to join Physics course are admitted to Mathematics and Astrophysics course.c)Students of Physics course outnumber those of Mathematicsd)Whoever is eligible to study Mathematics is also eligible to study Physics.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CLAT tests.
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