Question Details

The percentage of marks obtained by six students in five different subjects in an examination and the maximum marks in each subject (in parenthesis) are given in the following table.

Student Hindi (150) English (100) Geography (175) Mathematics (120) Physics (75)
P 85 56 65 82 90
Q 76 84 52 84 76
R 89 98 67 60 56
S 82 64 56 70 80
T 58 68 78 68 71
U 64 75 94 64 60

What was the aggregate of marks obtained by S in all the five subjects?

Options

A

324

B

429

C

356

D

405

Show Answer

Correct Answer :

Option B

429

Solution :

To find the aggregate of marks obtained by student S in all the five subjects, we need to calculate the actual marks obtained in each subject based on the given percentages and maximum marks, and then sum them up.

From the table, the percentage marks obtained by S in each subject and the maximum marks for those subjects are:
1. Hindi: 82% of 150 maximum marks
2. English: 64% of 100 maximum marks
3. Geography: 56% of 175 maximum marks
4. Mathematics: 70% of 120 maximum marks
5. Physics: 80% of 75 maximum marks

Let us calculate the marks obtained in each subject:

Hindi:
Marks=82100×150=123

English:
Marks=64100×100=64

Geography:
Marks=56100×175=0.56×175=98

Mathematics:
Marks=70100×120=84

Physics:
Marks=80100×75=60

Now, we calculate the aggregate marks by summing the marks of all five subjects:

Aggregate Marks=123+64 + 98+84 + 60=429

Thus, the aggregate of marks obtained by student S in all the five subjects was 429.

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