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Diksha obtained 58% marks in an exam whe...

Diksha obtained 58% marks in an exam where the maximum marks was 450. She obtained ____ marks.

A

290

B

276

C

261

D

275.5

Text Solution

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The correct Answer is:
To find out how many marks Diksha obtained in the exam, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Total Marks and Percentage**: - The maximum marks in the exam = 450 - The percentage of marks obtained by Diksha = 58% 2. **Convert Percentage to Decimal**: - To calculate the marks, we need to convert the percentage into a fraction: \[ 58\% = \frac{58}{100} \] 3. **Calculate the Marks Obtained**: - To find the marks obtained, we multiply the total marks by the percentage (in decimal form): \[ \text{Marks Obtained} = \frac{58}{100} \times 450 \] 4. **Simplify the Calculation**: - First, we can simplify the multiplication: \[ \text{Marks Obtained} = \frac{58 \times 450}{100} \] - We can cancel out two zeros from 450 and 100: \[ \text{Marks Obtained} = \frac{58 \times 450}{100} = \frac{58 \times 45}{10} \] 5. **Perform the Multiplication**: - Now, calculate \(58 \times 45\): \[ 58 \times 45 = 2610 \] - Now divide by 10: \[ \frac{2610}{10} = 261 \] 6. **Conclusion**: - Therefore, Diksha obtained **261 marks** in the exam. ### Final Answer: Diksha obtained 261 marks. ---
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