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A mock CAT exam was taken by 74 students in all. There were three sections in all in that exam, namely, Verbal Ability (VA), Data Interpretation (Dl) and Quantitative Ability (QA). The following statements give additional details about the results of the exams.
I. The pass results (for each of the 3 sections) for all the students were announced.
II. Ten students passed in all the three sections.
III. All but 5 students passed in the VA section.
IV. 18 students have multiple skills (i.e., passed in more than one section).
V. Half the difference between the number of students who passed in all three sections and the number of students who passed in VA and Dl only gives the number of students who passed in VA and QA only.
VI. No student has passed in only Dl or in only QA without passing in VA, but one student has passed in Dl and QA without passing in VA.
 
Q. How many students passed in at most two subjects?
    Correct answer is '64'. Can you explain this answer?
    Verified Answer
    A mock CAT exam was taken by 74 students in all. There were three sect...
    74 - 10 = 64 students passed in at most two subjects.
    Answer: 64
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    Most Upvoted Answer
    A mock CAT exam was taken by 74 students in all. There were three sect...
    It's is clear from the first statement only that 10 passed all the three so rest 64 is at the most 2
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    Community Answer
    A mock CAT exam was taken by 74 students in all. There were three sect...
    Analysis:

    Given Information:
    - Total number of students = 74
    - Pass results were announced for all three sections: Verbal Ability (VA), Data Interpretation (DI), and Quantitative Ability (QA)
    - 10 students passed in all three sections
    - All but 5 students passed in the VA section
    - 18 students passed in more than one section
    - Half the difference between students passing in all three sections and students passing in VA and DI only equals students passing in VA and QA only
    - No student passed in only DI or only QA without passing in VA, but one student passed in DI and QA without passing in VA

    Solution:
    - Number of students passing in all three sections = 10
    - Number of students passing in VA = 74 - 5 = 69
    - Number of students passing in VA and DI only = x (let's assume)
    - Number of students passing in VA and QA only = y (let's assume)
    According to the given information:
    1. y = (10 - x) / 2 (Half the difference between students passing in all three sections and students passing in VA and DI only equals students passing in VA and QA only)
    2. x + y + 10 (students passing in all three sections) + 18 (students passing in more than one section) = 74
    Solving these equations simultaneously, we get:
    x = 15, y = 2
    Therefore, the number of students passing in at most two subjects:
    = Number of students passing in VA and DI only + Number of students passing in VA and QA only + Number of students passing in DI and QA only + Number of students passing in VA only
    = 15 + 2 + 1 + 69
    = 87
    Therefore, 87 - 74 = 64 students passed in at most two subjects.
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    A mock CAT exam was taken by 74 students in all. There were three sections in all in that exam, namely, Verbal Ability (VA), Data Interpretation (Dl) and Quantitative Ability (QA). The following statements give additional details about the results of the exams.I. The pass results (for each of the 3 sections) for all the students were announced.II. Ten students passed in all the three sections.III. All but 5 students passed in the VA section.IV. 18 students have multiple skills (i.e., passed in more than one section).V. Half the difference between the number of students who passed in all three sections and the number of students who passed in VA and Dl only gives the number of students who passed in VA and QA only.VI. No student has passed in only Dl or in only QA without passing in VA, but one student has passed in Dl and QA without passing in VA.Q.How many students passed in at most two subjects?Correct answer is '64'. Can you explain this answer?
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    A mock CAT exam was taken by 74 students in all. There were three sections in all in that exam, namely, Verbal Ability (VA), Data Interpretation (Dl) and Quantitative Ability (QA). The following statements give additional details about the results of the exams.I. The pass results (for each of the 3 sections) for all the students were announced.II. Ten students passed in all the three sections.III. All but 5 students passed in the VA section.IV. 18 students have multiple skills (i.e., passed in more than one section).V. Half the difference between the number of students who passed in all three sections and the number of students who passed in VA and Dl only gives the number of students who passed in VA and QA only.VI. No student has passed in only Dl or in only QA without passing in VA, but one student has passed in Dl and QA without passing in VA.Q.How many students passed in at most two subjects?Correct answer is '64'. 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 A mock CAT exam was taken by 74 students in all. There were three sections in all in that exam, namely, Verbal Ability (VA), Data Interpretation (Dl) and Quantitative Ability (QA). The following statements give additional details about the results of the exams.I. The pass results (for each of the 3 sections) for all the students were announced.II. Ten students passed in all the three sections.III. All but 5 students passed in the VA section.IV. 18 students have multiple skills (i.e., passed in more than one section).V. Half the difference between the number of students who passed in all three sections and the number of students who passed in VA and Dl only gives the number of students who passed in VA and QA only.VI. No student has passed in only Dl or in only QA without passing in VA, but one student has passed in Dl and QA without passing in VA.Q.How many students passed in at most two subjects?Correct answer is '64'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mock CAT exam was taken by 74 students in all. There were three sections in all in that exam, namely, Verbal Ability (VA), Data Interpretation (Dl) and Quantitative Ability (QA). The following statements give additional details about the results of the exams.I. The pass results (for each of the 3 sections) for all the students were announced.II. Ten students passed in all the three sections.III. All but 5 students passed in the VA section.IV. 18 students have multiple skills (i.e., passed in more than one section).V. Half the difference between the number of students who passed in all three sections and the number of students who passed in VA and Dl only gives the number of students who passed in VA and QA only.VI. No student has passed in only Dl or in only QA without passing in VA, but one student has passed in Dl and QA without passing in VA.Q.How many students passed in at most two subjects?Correct answer is '64'. Can you explain this answer?.
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