Question

What is the average of total marks obtained by Aman, Kartik, Mukesh and Lokesh, in all subjects?

• A. 493.75
• B. 553.75
• C. 523.25
• D. 463.25
• A. 78.8%
• B. 62.4%
• C. 65.9%
• D. 73.1%
• A. 49 : 73
• B. 53 : 78
• C. 47 : 63
• D. 39 : 88
• A. 130
• B. 150
• C. 120
• D. 140

Answer 1

The Correct Option is B

Step 1: Understanding the Question:
The question asks for the average of the total marks obtained by four specific students: Aman, Kartik, Mukesh, and Lokesh, across all six subjects.
Step 2: Key Formula or Approach:
1. Calculate the total marks for each of the four students by summing their marks in all subjects.
2. Sum the total marks of these four students.
3. Divide the grand total by 4 to find the average.
Step 3: Detailed Explanation:
First, we calculate the total marks for each student:
Total marks for Aman:
\[ 95 (\text{Hindi}) + 65 (\text{English}) + 115 (\text{Math}) + 100 (\text{Economics}) + 125 (\text{Accountancy}) + 90 (\text{Geography}) = 590 \] Total marks for Kartik:
\[ 60 + 95 + 130 + 95 + 100 + 80 = 560 \] Total marks for Mukesh:
\[ 105 + 90 + 95 + 110 + 140 + 85 = 625 \] Total marks for Lokesh:
\[ 55 + 115 + 60 + 65 + 75 + 70 = 440 \] Next, we sum the totals for these four students:
\[ \text{Sum of totals} = 590 + 560 + 625 + 440 = 2215 \] Finally, we calculate the average:
\[ \text{Average} = \frac{2215}{4} = 553.75 \] Step 4: Final Answer:
The average of the total marks is 553.75.

Answer 2

Step 1: Understanding the Question:
We need to calculate a percentage. The numerator is the sum of marks of Lokesh and Sumit in Hindi, English, and Maths. The denominator is the sum of marks of Aman and Kartik in Economics, Accountancy, and Geography.
Step 2: Key Formula or Approach:
\[ \text{Required Percentage} = \frac{\text{Total Marks (Lokesh & Sumit in H, E, M)}}{\text{Total Marks (Aman & Kartik in Eco, Acc, Geo)}} \times 100% \] Step 3: Detailed Explanation:
First, calculate the numerator value:
Marks for Lokesh in (Hindi + English + Maths): \( 55 + 115 + 60 = 230 \)
Marks for Sumit in (Hindi + English + Maths): \( 75 + 85 + 75 = 235 \)
\[ \text{Total for Numerator} = 230 + 235 = 465 \] Next, calculate the denominator value:
Marks for Aman in (Economy + Accountancy + Geography): \( 100 + 125 + 90 = 315 \)
Marks for Kartik in (Economy + Accountancy + Geography): \( 95 + 100 + 80 = 275 \)
\[ \text{Total for Denominator} = 315 + 275 = 590 \] Finally, calculate the percentage:
\[ \text{Percentage} = \frac{465}{590} \times 100% \] \[ \text{Percentage} \approx 0.78813 \times 100% \approx 78.8% \] Step 4: Final Answer:
The required percentage is 78.8%.

Answer 3

Step 1: Understanding the Question:
The question asks for the ratio of the percentage of marks obtained by Sumit to the percentage of marks obtained by Sandhya in the three subjects: Hindi, English, and Maths combined.
Step 2: Key Formula or Approach:
The ratio of percentages will be the same as the ratio of the total marks obtained by each student in the specified subjects, because the maximum marks (the denominator for the percentage calculation) are the same for both.
Ratio = (Total Marks of Sumit in H, E, M) : (Total Marks of Sandhya in H, E, M).
Step 3: Detailed Explanation:
First, calculate the total marks for Sumit in Hindi, English, and Maths:
\[ \text{Sumit's Marks} = 75 + 85 + 75 = 235 \] Next, calculate the total marks for Sandhya in Hindi, English, and Maths:
\[ \text{Sandhya's Marks} = 85 + 110 + 120 = 315 \] Now, find the ratio of their marks:
\[ \text{Ratio} = 235 : 315 \] To simplify the ratio, we find the greatest common divisor of 235 and 315. Both numbers are divisible by 5.
\[ \frac{235}{5} : \frac{315}{5} \] \[ 47 : 63 \] The ratio cannot be simplified further.
Step 4: Final Answer:
The ratio is 47 : 63.

Answer 4

Step 1: Understanding the Question:
The question asks for the absolute difference between the total marks obtained by Sumit and the total marks obtained by Mukesh across all six subjects.
Step 2: Key Formula or Approach:
1. Calculate the total marks for Sumit.
2. Calculate the total marks for Mukesh.
3. Find the difference between the two totals.
Step 3: Detailed Explanation:
First, calculate the total marks for Sumit in all subjects:
\[ \text{Sumit's Total} = 75 + 85 + 75 + 80 + 95 + 75 = 485 \] Next, calculate the total marks for Mukesh in all subjects (this was also calculated in Q.17):
\[ \text{Mukesh's Total} = 105 + 90 + 95 + 110 + 140 + 85 = 625 \] Finally, find the difference between their total marks:
\[ \text{Difference} = \text{Mukesh's Total} - \text{Sumit's Total} \] \[ \text{Difference} = 625 - 485 = 140 \] Step 4: Final Answer:
The difference in the total marks is 140.