Question

What is the percentage increase in the pass percent of students of class VIII during the given period?

• A. 11.03
• B. 10.74
• C. 10.81
• D. 11.11
• A. 2022
• B. 2023
• C. 2024
• D. 2025
• A. VIII
• B. IX
• C. X
• D. XI

Answer 1

The Correct Option is C

Step 1: Identify the pass percentages from the given data.
From the table, \[ \text{Pass Percentage in 2021} = 74\% \] \[ \text{Pass Percentage in 2025} = 82\% \]

Step 2: Calculate the increase in pass percentage.
\[ \text{Increase} = 82-74 = 8 \]

Step 3: Apply the percentage increase formula.
\[ \text{Percentage Increase} = \frac{\text{Increase}}{\text{Original Value}} \times 100 \] \[ = \frac{8}{74}\times100 \] \[ = 10.81\% \] Therefore, the percentage increase in the pass percentage of Class VIII students during the given period is {10.81%}

Answer 2

Step 1: Calculate the growth percentage for each year.
Given Class XI pass percentages: \[ 2021 = 57 \] \[ 2022 = 61 \] \[ 2023 = 67 \] \[ 2024 = 70 \] \[ 2025 = 71 \]

Step 2: Find year-wise percentage growth.
For 2022: \[ \frac{61-57}{57}\times100 = \frac{4}{57}\times100 \approx 7.02\% \] For 2023: \[ \frac{67-61}{61}\times100 = \frac{6}{61}\times100 \approx 9.84\% \] For 2024: \[ \frac{70-67}{67}\times100 = \frac{3}{67}\times100 \approx 4.48\% \] For 2025: \[ \frac{71-70}{70}\times100 = \frac{1}{70}\times100 \approx 1.43\% \]

Step 3: Compare the growth percentages.
\[ 2022 \rightarrow 7.02\% \] \[ 2023 \rightarrow 9.84\% \] \[ 2024 \rightarrow 4.48\% \] \[ 2025 \rightarrow 1.43\% \] The highest growth percentage is in the year 2023. {2023}

Answer 3

Step 1: Calculate percentage increase for each class. For Class VIII: \[ \frac{78-74}{74}\times100 =\frac{4}{74}\times100 \approx 5.41\% \] For Class X: \[ \frac{68-67}{67}\times100 \approx 1.49\% \] For Class XI: \[ \frac{61-57}{57}\times100 =\frac{4}{57}\times100 \approx 7.02\% \] Class IX shows a decrease and is not considered.

Step 2: Compare the increases. \[ 7.02\% > 5.41\% > 1.49\% \] Hence, Class XI registered the highest percentage increase. {(D) XI}