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    The following table shows the percentage of marks obtained by 6 students in 4 different subjects in an examination. Study the table and answer the que

    Reading Comprehension

    The following table shows the percentage of marks obtained by 6 students in 4 different subjects in an examination. Study the table and answer the questions that follow:

    Students 
    ​Subject (Max Marks)
    Physics
    (100)
    Chemistry
    (100)
    Maths
    (100)
    English
    (100)
    Radhika
    90
    85
    95
    98
    Karan
    92
    90
    90
    93
    Neeraj
    86
    82
    75
    77
    Priyanka
    63
    48
    55
    75
    Sujata
    77
    62
    80
    85
    Preeti
    50
    52
    40
    59

    1) Question

    What is the overall percentage of Karan?

    A.

    92.25%

    B.

    90.75%

    C.

    91.5%

    D.

    91.25%

    Correct option is D

    Given:

    Karan's marks in different subjects:
    Physics: 92% of 100 = 92
    Chemistry: 90% of 100 = 90
    Maths: 90% of 100 = 90
    English: 93% of 100 = 93 
    Formula Used:
    Percentage=(Obtained MarksTotal Marks)×100\text{Percentage} = \left( \frac{\text{Obtained Marks}}{\text{Total Marks}} \right) \times 100​​
    Solution:
    Total marks obtained by Karan = 92 + 90 + 90 + 93 = 365 
    Total Maximum Marks = 400
    Overall percentage = (365400)×100=91.25%\left( \frac{365}{400} \right) \times 100 = 91.25\%​​

    2) Question

    What are the average marks obtained by the students with four highest scores in Physics?

    A.

    86.5

    B.

    88.5

    C.

    78

    D.

    86.25

    Correct option is D

    Given:
    Highest scores in Physics:
    Radhika: 90% of 100 = 90
    Karan: 92% of 100 = 92
    Neeraj: 86% of 100 = 86
    Sujata: 77% of 100 = 77
    Formula Used:
    Average Marks=Sum of all marksNumber of subjects\text{Average Marks} = \frac{\text{Sum of all marks}}{\text{Number of subjects}} 
    Solution:
    Average Marks=90+92+86+774=86.25\text{Average Marks} = \frac{90 + 92 + 86 + 77}{4} = 86.25​​


    3) Question

    According to the marks obtained, what is the percentage of Neeraj in best three subjects?

    A.

    80%

    B.

    81.66%

    C.

    81.33%

    D.

    80.66%

    Correct option is B

    Given:
    Marks obtained by Neeraj:
    Physics: 86% of 100 = 86
    Chemistry: 82% of 100 = 82
    Maths: 75% of 100 = 75
    English: 77% of 100 = 77
    Solution:
    Best three subjects: Physics (86), Chemistry (82), Maths (77)
    Total marks in best three subjects = 86 + 82 + 77 = 245
    Percentage in best three subjects = (245300)×10081.66\left( \frac{245}{300} \right) \times 100 \approx 81.66%%


    4) Question

    Which of the following received highest aggregate marks in all the four subjects?

    A.

    Radhika

    B.

    Karan

    C.

    Neeraj

    D.

    Sujata

    Correct option is A

    Solution:
    Radhika: 90 (Physics) + 85 (Chemistry) + 95 (Maths) + 98 (English) = 368
    Karan: 92 (Physics) + 90 (Chemistry) + 90 (Maths) + 93 (English) = 365
    Neeraj: 86 (Physics) + 82 (Chemistry) + 75 (Maths) + 77 (English) = 320
    Priyanka: 63 (Physics) + 48 (Chemistry) + 55 (Maths) + 75 (English) = 241
    Sujata: 77 (Physics) + 62 (Chemistry) + 80 (Maths) + 85 (English) = 304
    Preeti: 50 (Physics) + 52 (Chemistry) + 40 (Maths) + 59 (English) = 201
    The highest aggregate marks are achieved by Radhika, with a total of 368 marks.

    5) Question

    Which of the following pair of students has the smallest ratio between Physics marks scored by them?

    A.

    Radhika : Karan

    B.

    Neeraj : Karan

    C.

    Sujata : Neeraj

    D.

    Priyanka : Sujata

    Correct option is D

    Given:
    Radhika: 90
    Karan: 92
    Neeraj: 86
    Priyanka: 63
    Sujata: 77
    Preeti: 50
    Solution:
    Radhika : Karan =9092=0.978\frac{90}{92} = 0.978​​

    Neeraj: Karan = 8692=0.9348\frac{86}{92} = 0.9348 

    Sujata : Neeraj = 7786=0.8953\frac{77}{86} = 0.8953​​

    Priyanka : Sujata:  6377=0.818\frac{63}{77} = 0.818​​
    The pair with the smallest ratio between their Physics marks is Priyanka and Sujata, with a ratio of 0.818.

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