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All GMAT Integrated Reasoning Resources

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Flashcards: GMAT Integrated Reasoning

Over a seven-year period, from 2002 to 2009, the number of babies born to married couples increased despite a decrease in marriages from 17,000 marriages in 2002.

In the given expression, and represent the percent change in the babies and marriages, respectively. represents the number of babies per married couple in 2002. The percent change in a quantity is calculated by the formula:

$\left(\frac{X_{new}-X_{old}}{X_{old}} \right )\times 100$

Identify the following with the given information,

I. The expression that represents the number of babies born in 2002.

II. The expression of the number of babies born per family in 2009.

I. The expression that represents the number of babies born in 2002.

17,000I

II. The expression of the number of babies born per married couple in 2009.

$\left( \frac{100+B}{100+M}\right)\times I$

I. The expression that represents the number of babies born in 2002.

17,000I

II. The expression of the number of babies born per married couple in 2009.

$\left( \frac{100-M}{100+B}\right)\times I$

I. The expression that represents the number of babies born in 2002.

$\frac{17,000}{I}$

II. The expression of the number of babies born per married couple in 2009.

$\left( \frac{100+M}{100+B}\right)\times I$

I. The expression that represents the number of babies born in 2002.

$\frac{17,000}{I}$

II. The expression of the number of babies born per married couple in 2009.

$\left( \frac{100+B}{100+M}\right)\times I$

I. The expression that represents the number of babies born in 2002.

17,000I

II. The expression of the number of babies born per married couple in 2009.

$\left( \frac{100-B}{100+M}\right)\times I$

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Flashcards: GMAT Integrated Reasoning

Over a seven-year period, from 2002 to 2009, the number of babies born to married couples increased despite a decrease in marriages from 17,000 marriages in 2002.

$\left(\frac{X_{new}-X_{old}}{X_{old}} \right )\times 100$

Identify the following with the given information,

I. The expression that represents the number of babies born in 2002.

II. The expression of the number of babies born per family in 2009.

Your answer:

I. The expression that represents the number of babies born in 2002.

17,000I

II. The expression of the number of babies born per married couple in 2009.

$\left( \frac{100-M}{100+B}\right)\times I$

Your answer:

I. The expression that represents the number of babies born in 2002.

$\frac{17,000}{I}$

II. The expression of the number of babies born per married couple in 2009.

$\left( \frac{100+M}{100+B}\right)\times I$

Your answer:

I. The expression that represents the number of babies born in 2002.

$\frac{17,000}{I}$

II. The expression of the number of babies born per married couple in 2009.

$\left( \frac{100+B}{100+M}\right)\times I$

Your answer:

I. The expression that represents the number of babies born in 2002.

17,000I

II. The expression of the number of babies born per married couple in 2009.

$\left( \frac{100-B}{100+M}\right)\times I$

Correct answer:

I. The expression that represents the number of babies born in 2002.

17,000I

II. The expression of the number of babies born per married couple in 2009.

$\left( \frac{100+B}{100+M}\right)\times I$

Explanation:

To identify,

I. The expression that represents the number of babies born in 2002.

Recall the given information in this particular question.

It is known that in 2002 there are 17,000 marriages and represents $\frac{\text{Babies}}{\text{Marriage}}$ .

Using this information to create a mathematical expression is as follows.

$17,000 \text{ marriages}\times \frac{\text{babies}}{\text{marriage}}\Rightarrow17,000 \text{ marriages}\times I=17,000I$

Now to identify,

II. The expression of the number of babies born per married couple in 2009.

Use the formula given

$\left(\frac{X_{new}-X_{old}}{X_{old}} \right )\times 100$

This part of the problem is asking for a ratio, but the variables that are given are percents.

Therefore, the 100’s are there because M and B are percent quantities. They are both added because M is a negative number.

So the number in the numerator is the percentage of babies that exist in 2009 compared to 2002 (a number that will be less than 100). The denominator is the percentage of the 2002 marriages that exists in 2009 (a number greater than 100).

Thus the solution is,

$\left( \frac{100+B}{100+M}\right)\times I$

Flashcards: GMAT Integrated Reasoning

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

$\begin{tabular}{ |p{3cm}||p{3cm}|p{3cm}|p{3cm}| } \hline \multicolumn{4}{|c|}{Academic Class List} \\ \hline Academic Class& Schools Offering Class &\% of Schools Offering& \# Student Enrollment\\ \hline AP English & 4 &50& 467\\ English& 6 & 75 &700\\ Math &8 & 100& 934\\ AP Calculus &4 & 50& 467\\ Gym& 5 & 63&588\\ Painting& 2 & 25 &233\\ Sculpting& 1 & 13&121\\ Study Hall & 5& 63&588 \\ French & 4& 50& 467\\ Latin & 3& 38& 355\\ German & 4&50 & 467\\ Spanish & 4& 50& 467\\ \hline \end{tabular}$

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.

I. and III.

II. and III.

I., II., and III.

I. and II.

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Flashcards: GMAT Integrated Reasoning

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.

Your answer:

II. and III.

Your answer:

I., II., and III.

Your answer:

I. and II.

Your answer:

Correct answer:

I. and III.

Explanation:

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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