Question

What is the total number of students studying Arts in Institutes A and G together? (Total Arts = 3800)

• A. 1226
• B. 1206
• C. 1126
• D. 1026

Hint:

For pie chart questions involving combined categories, it's faster to add the percentages first and then calculate the final number from the total, rather than calculating the number for each category and then adding them up.

Answer 1

The Correct Option is D

This question is based on the "Arts" pie chart. Total number of students in Arts = 3800. We need to find the number of students in Institutes A and G. \[\begin{array}{rl} \bullet & \text{Percentage of students in Institute A = 15\%} \\ \bullet & \text{Percentage of students in Institute G = 12\%} \\ \end{array}\] Total percentage for A and G together = 15% + 12% = 27%. Total number of students in A and G together = 27% of 3800. \[ \text{Number of students} = \frac{27}{100} \times 3800 \] \[ = 27 \times 38 \] Calculation: \( 27 \times 38 = 27 \times (40 - 2) = 1080 - 54 = 1026 \). The total number of students is 1026.