XAT 2019QA & DI Question 25

Pie-ChartsEasy
Passage / Data

Answer the next 3 questions based on the information given below.

The break-up of the students in a university by subject major is given in the polar pie-chart. The bar chart shows the number of students who major in physics by geographic location.

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12% of all students are from Chennai. What is the largest possible percentage of economics students that can be from Chennai, rounded off to the nearest integer?

Answer & solution

  • A

    69%

  • B

    71%

  • C

    75%

  • 73%

  • E

    77%

Solution

Consider the solution to previous question.

Total number of students = 1250

12% of these are from Chennai = 12% of 1250 = 125 + 25 = 150

Out of these 150 students 40 are definitely majoring in Physics.

∴ Maximum students from Chennai who can major in Economics = 150 – 40 = 110.

Total number of students in Economics = 12% of 1250 = 150.

∴ Highest possible percentage of Economics students that can be from Chennai = 110/150 × 100% = 73.33% ≈ 73%.

Hence, option (d).

XAT 2019 QA & DI Q25: 12% of all students are from Chennai. What is the largest possible percentage of economics students that can b — Solution | TheCATExam