### All GMAT Integrated Reasoning Resources

## Example Questions

### Example Question #1 : Understanding Table Analyses

The table above give information for 2013 on the total passengers for 5 train stations in the western United States. These stations were chosen because in 2013 they were among the most popular. The table also includes the percent increase and decrease from the precious year.

Consider the following statements and determine whether the statements are true or false based on the information provided by the table.

I. The percent of change in the passenger count from 2012 created the rank identifier for 2013.

II. The train station that has the median number of passengers also has the median rank.

III. Over 50 percent of the stations that experienced a percentage increase are in the state of Utah.

**Possible Answers:**

I. False

II. False

III. True

I. True

II. False

III. False

I. False

II. True

III. False

I. False

II. True

III. True

I. True

II. True

III. False

**Correct answer:**

I. False

II. True

III. False

Examining the table conclusions can be made on each of the statements.

Looking at option I. The percent of change in the passenger count from 2012 created the rank identifier for 2013.

Looking at the ranks, it is seen that rank 2 which is the highest given, belongs to Reno. Reno's station also had a percent decrease from the previous year. Therefore making this statement false.

Looking at option II. The train station that has the median passengers also has the median rank.

If the passenger counts were reorganized from lowest to highest is would look as follows,

The ranks if ordered in this same way would be as follows,

Since there are five entries, the median occurs at the third entry which would be passenger count 1014 and rank 6. Both of these belong to the train station at Glenwood Springs. Therefore making this statement true.

Looking at option III. Over 50 percent of the stations that experienced a percentage increase are in the state of Utah.

The stations that experienced a percentage increase belong to Glenwood Springs, Salt Lake City, and Sacramento. Glenwood Springs is a city in Colorado, Salt Lake City is a city in Utah, and Sacramento is a city in California. Only one station is in Utah therefore making this statement false.

### Example Question #2 : Understanding Table Analyses

The table displays the academic class spread among Dawn County schools in 2005.

Based on the given information in the table, select the options that can be proven to be true.

I. No class is offered in less than one-third of the schools.

II. Every school in the district offers either Gym or at least one Art class (Painting or Sculpting).

III. Math is an academic class that is offered in all schools in Dawn County.

**Possible Answers:**

II. and III

I. and II.

II.

I.

III.

**Correct answer:**

III.

Examining the table given, the truth of the statements can be identified.

Looking at option I. No class is offered in less than one-third of the schools.

It is seen that Sculpting is offered in 13% of the schools which is less than 33% therefore sculpting is offered in less than one-third of the schools thus making the statement false.

Looking at option II. Every school in the district offers either Gym or an Art class.

The table states that 5 schools offer Gym and a total of three schools offer Art (Painting or Sculpting). This makes a total of 8 schools but it is unknown if there are 8 different school or if the 5 schools that have gym also have an art class. Therefore this statement is false.

Looking at option III. Math is an academic class that all schools in Dawn County offer.

The table shows that the % of schools offering Math is 100% therefore this statement is true.

### Example Question #3 : Understanding Table Analyses

The table above give information for 2013 on the total passengers for 5 train stations in the western United States. These stations were chosen because in 2013 they were among the most popular. The table also includes the percent increase and decrease from the precious year.

Consider the following statements and determine whether the statements are true or false based on the information provided by the table.

I. The percent of change in the passenger count from 2012 created the rank identifier for 2013.

II. The train station that has the median number of passengers also has the median rank.

III. Over 50 percent of the stations that experienced a percentage increase are in the state of Utah.

**Possible Answers:**

I. False

II. False

III. True

I. False

II. True

III. True

I. False

II. True

III. False

I. True

II. False

III. False

I. True

II. True

III. False

**Correct answer:**

I. False

II. True

III. False

Examining the table conclusions can be made on each of the statements.

Looking at option I. The percent of change in the passenger count from 2012 created the rank identifier for 2013.

Looking at the ranks, it is seen that rank 2 which is the highest given, belongs to Reno. Reno's station also had a percent decrease from the previous year. Therefore making this statement false.

Looking at option II. The train station that has the median passengers also has the median rank.

If the passenger counts were reorganized from lowest to highest is would look as follows,

The ranks if ordered in this same way would be as follows,

Since there are five entries, the median occurs at the third entry which would be passenger count 1014 and rank 6. Both of these belong to the train station at Glenwood Springs. Therefore making this statement true.

Looking at option III. Over 50 percent of the stations that experienced a percentage increase are in the state of Utah.

The stations that experienced a percentage increase belong to Glenwood Springs, Salt Lake City, and Sacramento. Glenwood Springs is a city in Colorado, Salt Lake City is a city in Utah, and Sacramento is a city in California. Only one station is in Utah therefore making this statement false.

### Example Question #4 : Understanding Table Analyses

The table displays the academic class spread among Dawn County schools in 2005.

Based on the given information in the table, select the options that can be proven to be true.

I. No class is offered in less than one-third of the schools.

II. Every school in the district offers either Gym or at least one Art class (Painting or Sculpting).

III. Math is an academic class that is offered in all schools in Dawn County.

**Possible Answers:**

I.

II. and III

I. and II.

II.

III.

**Correct answer:**

III.

Examining the table given, the truth of the statements can be identified.

Looking at option I. No class is offered in less than one-third of the schools.

It is seen that Sculpting is offered in 13% of the schools which is less than 33% therefore sculpting is offered in less than one-third of the schools thus making the statement false.

Looking at option II. Every school in the district offers either Gym or an Art class.

The table states that 5 schools offer Gym and a total of three schools offer Art (Painting or Sculpting). This makes a total of 8 schools but it is unknown if there are 8 different school or if the 5 schools that have gym also have an art class. Therefore this statement is false.

Looking at option III. Math is an academic class that all schools in Dawn County offer.

The table shows that the % of schools offering Math is 100% therefore this statement is true.

### Example Question #5 : Understanding Table Analyses

The table displays the academic class spread among Dawn County schools in 2005.

Based on the given information in the table, select the options that can be proven to be true.

I. At least half the school's in Dawn County support advanced placement courses.

II. The majority of schools's in Dawn County participate in offering a type of foreign language to their students.

III. The core subjects such as English and Math enroll the majority of students.

**Possible Answers:**

I. and II.

I., II., and III.

II. and III.

I. and III.

I.

**Correct answer:**

I. and III.

Examining the table given, the truth of the statements can be identified.

Looking at option I. At least half the school's in Dawn County support advanced placement courses,

advanced placement courses at AP Calculus and AP English. Since 50% of schools offer each this statement is true.

Looking at option II. The majority of schools's in Dawn County participate in offering a type of foreign language to their students,

the foreign languages are French, Latin, German, and Spanish. French, German, and Spanish are offered in 4 school which is half the schools however, it is not known if they are offered in the same four schools or in different schools. Latin is offered in three schools and again, it is not known if it is offered in the same or different schools as the other foreign languages. Therefore, this statement is false.

Looking at option III. The core subjects such as English and Math enroll the majority of students,

the majority of students will need to be over 50% of the students. Since Math has 100% student enrollment and English has 75% then, the majority of students are enrolled in core subjects. Therefore this statement is true.

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