# GMAT Data Interpretation

Data interpretation is a rare type of question for GMAT quant but is the most scoring and time-consuming section. For most people, data interpretation is part of their daily life. Through the process of interpretation, people collect, analyze, process and present various numerical data and make sense out of it.

## Data Interpretation: Sample Question

Let’s solve a problem and see what kind of question GMAT asks under this topic:

Question:

12th Grade Students at Portland High School

 Girls Boys Enrolled in Biology 20 23 Not  enrolled in Biology 26 30

1. Approximately what is the percentage of the 12th grade girls at Portland High School are enrolled in Biology?

1. 43%
2. 43.47%
3. 42%
4. 48%
5. 62%

2. What is the fraction of the boys in the 12th grade at Portland High School who are enrolled in Biology?

1. 20/23
2. 20/99
3. 26/99
4. 23/99
5. 30/99

3. What is the ratio of the 12
th grade girls who are not enrolled in Biology compared to all the 12th grade students at Portland High School?

1. 20:23
2. 20:99
3. 23:99
4. 30:99
5. 16:99

4. If x percent more 12th grade students at Portland High School are not enrolled in Biology than are enrolled in Biology, find the value of x?

1. 30.23%
2. 30%
3. 23%
4. 20%
5. 26%

5. If 2 boys who are not enrolled in Biology, from the 12th grade of Portland High school decides to take up Biology, and then 8 new girls and 7 new boys enrolled in the 12th grade at Portland High School as well as in Biology, what percentage of 12th grade students at Portland would then be taking Biology?

1. 49%
2. 47%
3. 52.63%
4. 52%
5. 50%

Solution: Let us first understand the table: Since this table is only for the 12th grader, you don’t need to worry when the questions asks about 12th grade students, as everyone in the chart is a 12th grader.

Let’s first create another table in which we can calculate the total of all columns and rows for further reference.

 Girls Boys Total Enrolled in Biology 20 23 43 Not enrolled in Biology 26 30 56 Total 46 53 99

1. There are 46 girls out of which 20 are enrolled in Biology

So, fraction of girls enrolled in Biology = 2046

So, percentage of girls in Biology = 2046 ×100 = 43. 47%

2. There are 99 students in total, out of which 23 boys are enrolled in Biology. So the fraction will be 2399.

3. There are 26 girls not enrolled for Biology and the total number of students is 99.

So, the ratio = 16:99.

4. 56 students are not enrolled for Biology, whereas, 43 students are. This question can also be rephrased as, “56 is what percentage greater than 43?” By using the percentage formula:

Percentage = differenceoriginal ×100= 1343 ×100 = 30.23 %

Thus, x is 30.23

5. Let us draw a new chart that can reflect the changes. Switch 2 boys to “enrolled in Biology” from “not enrolled in Biology”.

 Girls Boys Total Enrolled in Biology 20 + 8 = 28 23 + 2 +7 = 32 60 Not enrolled in Biology 26 30 – 2 = 28 54 Total 54 60 114

Since, now 60 students out of 114 are enrolled in Biology.

So, percentage = 60114 ×100=52.63%