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All GMAT Integrated Reasoning Resources

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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. 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.

I. and II.

II. and III

II.

III.

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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. 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.

Your answer:

I. and II.

Your answer:

II. and III

Your answer:

II.

Your answer:

Correct answer:

III.

Explanation:

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.

Flashcards: GMAT Integrated Reasoning

A Shark XI is a new model remote aircraft. Under ideal flying conditions the Shark XI's fuel is nautical miles per liter $\left(F\frac{\text{nautical miles}}{L} \right )$ when flying speed is constant at nautical miles per hour $\left(S(\text{knots}) \right )$ where knots is the abbreviation for nautical miles per hour.

Identify the following statements in terms of and .

I. Liters of fuel in one hour.

II. Liters of fuel in 80 nautical miles.

$\\I.\ \frac{S}{F} \\\\II.\ \frac{F}{80}$

$\\I.\ \frac{S}{F} \\\\II.\ 80F$

$\\I.\ \frac{F}{S} \\\\II.\ \frac{80}{F}$

$\\I.\ \frac{S}{F} \\\\II.\ \frac{80}{F}$

$\\I.\ \frac{F}{S} \\\\II.\ \frac{F}{80}$

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Flashcards: GMAT Integrated Reasoning

Identify the following statements in terms of and .

I. Liters of fuel in one hour.

II. Liters of fuel in 80 nautical miles.

Your answer:

$\\I.\ \frac{S}{F} \\\\II.\ \frac{F}{80}$

Your answer:

$\\I.\ \frac{S}{F} \\\\II.\ 80F$

Your answer:

$\\I.\ \frac{F}{S} \\\\II.\ \frac{80}{F}$

Your answer:

$\\I.\ \frac{F}{S} \\\\II.\ \frac{F}{80}$

Correct answer:

$\\I.\ \frac{S}{F} \\\\II.\ \frac{80}{F}$

Explanation:

To identify,

I. Liters of fuel in one hour.

Recall the given information,

$F\frac{\text{nautical miles}}{L}; S\frac{\text{nautical miles}}{\text{hour}}$

To get liters per hour:

$\frac{\frac{\text{nautical miles}}{\text{hour}}}{\frac{\text{nautical miles}}{L}}=\frac{\text{nautical miles}}{\text{hour}}\times \frac{L}{\text{nautical miles}}$

the nautical miles cancel out and the solution is

$\frac{L}{\text{hours}}=\frac{S}{F}$

II. Liters of fuel in 80 nautical miles.

$F=\frac{\text{nautical miles}}{L}\Rightarrow F=\frac{80}{L}$

Now solving for liters results in the correct answer,

$\\L\cdot F=\frac{80}{L}\cdot L \\\\\frac{LF}{F}=\frac{80}{F} \\\\L=\frac{80}{F}$

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