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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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