The following table shows the marks scored by six students (A–F) in six…
2025
The following table shows the marks scored by six students (A–F) in six different subjects S1 to S6 having 160, 160, 120, 120, 200 and 240 as maximum marks respectively. Based on the data in the table, answer the questions that follow.
Students | S1 (Out of 160) | S2 (Out of 160) | S3 (Out of 120) | S4 (Out of 120) | S5 (Out of 200) | S6 (Out of 240) |
|---|---|---|---|---|---|---|
A | 76 | 84 | 66 | 56 | 154 | 144 |
B | 120 | 100 | 84 | 76 | 136 | 132 |
C | 128 | 72 | 64 | 70 | 144 | 160 |
D | 84 | 130 | 96 | 84 | 104 | 168 |
E | 64 | 128 | 90 | 92 | 174 | 70 |
F | 70 | 96 | 60 | 56 | 164 | 96 |
What is the ratio of the total marks scored by student B to the total marks scored by student D?
- A.
26: 27
- B.
36 : 37
- C.
16 : 17
- D.
46 : 47
Attempted by 18 students.
Show answer & explanation
Correct answer: B
To find the ratio of total marks scored by student B to student D, we first sum their individual subject scores.
For student B: 120 + 100 + 84 + 76 + 136 + 132 = 648.
For student D: 84 + 130 + 96 + 84 + 104 + 168 = 666.
The ratio is therefore 648: 666.
To simplify, we divide both terms by their greatest common divisor.
Both numbers are divisible by 18: 648 ÷ 18 = 36 and 666 ÷ 18 = 37.
Thus, the simplified ratio is 36: 37.
This corresponds to Option B.