Question : The percentage marks obtained by 6 students in different subjects are given below. The maximum marks for each subject have been indicated in the table.
| Subject Students |
Physics | Mathematics | Hindi | Geography | English | History |
| Maximum Marks→ |
80 | 150 | 100 | 75 | 120 | 50 |
|
P Q R S T U
|
70 90 85 75 65 60
|
44 40 32 70 60 50
|
88 54 70 58 45 60
|
88 92 64 80 88 72
|
70 65 55 60 50 25
|
38 40 30 35 42 48
|
The total marks obtained by student Q in Physics and Hindi are what percentage (rounded off to the nearest integer) more than the total marks obtained by student T in Geography and History?
Option 1: 45%
Option 2: 49%
Option 3: 56%
Option 4: 38%
Correct Answer: 45%
Solution :
The total marks obtained by student Q in Physics and Hindi:
In Physics, student Q scored 90% of 80 marks = 0.9 × 80 = 72 marks
In Hindi, student Q scored 54% of 100 marks = 0.54 × 100 = 54 marks
So, the total marks obtained by student Q in Physics and Hindi = 72 + 54 = 126 marks
The total marks obtained by student T in Geography and History:
In Geography, student T scored 88% of 75 marks = 0.88 × 75 = 66 marks
In History, student T scored 42% of 50 marks = 0.42 × 50 = 21 marks
So, the total marks obtained by student T in Geography and History = 66 + 21 = 87 marks
Required percentage
$= \frac{\text{Total marks by Q in Physics and Hindi} - \text{Total marks by T in History and Geography}}{\text{Total marks by T in History and Geography}} \times 100$
$= \frac{126 - 87}{87} \times 100$
$ = 44.83\approx45$%
Hence, the correct answer is 45%.
Related Questions
Question : The percentage marks obtained by 6 students in different subjects are given below. The maximum marks for each subject have been indicated in the table.
| Subject Students |
Physics | Mathematics | Hindi | Geography | English | History |
| Maximum marks → |
80 | 150 | 100 | 75 | 120 | 50 |
|
P |
70 90 85 75 65 60 |
44 40 32 70 60 50 |
88 54 70 58 45 60 |
88 92 64 80 88 72 |
70 65 55 60 50 25 |
38 40 30 35 42 48 |
What are the approximate percentage marks obtained by student T in all subjects together?
Option 1: 65
Option 2: 58
Option 3: 47
Option 4: 52
Question : The following table shows the number of centuries scored by given five cricketers in the past 5 years.
| Cricketers | Years | 2021 | 2020 | 2019 | 2018 | 2017 |
| A | 1 | 0 | 1 | 0 | 1 | |
| B | 1 | 0 | 2 | 1 | 1 | |
| C | 1 | 2 | 0 | 0 | 1 | |
| D | 0 | 0 | 1 | 1 | 0 | |
| E | 0 | 1 | 1 | 0 | 1 |
Who scored the maximum number of centuries?
Option 1: A
Option 2: C
Option 3: B
Option 4: E
Question : Directions: In the following question, select the number that can be placed at the sign of the question mark (?) from the given alternatives.
| 1 | 4 |
| 10 | 7 |
| 5 | 8 |
| 14 | 11 |
| 6 | 9 |
| ? | 12 |
Option 1: 13
Option 2: 14
Option 3: 15
Option 4: 16
Question : Calculate the mean from the following table.
| Scores | Frequencies |
| 0-10 | 2 |
| 10-20 | 4 |
| 20-30 | 12 |
| 30-40 | 21 |
| 40-50 | 6 |
| 50-60 | 3 |
| 60-70 | 2 |
Option 1: 33.4
Option 2: 32.6
Option 3: 35.8
Option 4: 34.2
Question : Directions: In the following question, select the number that can be placed at the sign of the question mark (?) from the given alternatives.
| 3 | 11 | 5 | 45 |
| 2 | 4 | 6 | 44 |
| 3 | 7 | 8 | ? |
Option 1: 72
Option 2: 76
Option 3: 80
Option 4: 84
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