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All GMAT Integrated Reasoning Resources

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Flashcards: GMAT Integrated Reasoning

$\begin{tabular}{|l||l|l||l|l|} \hline &\multicolumn{2}{l|}{Train}&\multicolumn{2}{l|}{Passengers}\\ \cline{2-5} Rank&City&Code&Number&\% Change\\ \hline\hline 8&Sacramento&SAC& 1231&3.1\\2 &Reno&RNO&948&-0.7\\12 &Salt Lake City&SLT&1134&2.3\\ 6&Glenwood Springs& GLN&1014 &1.8 \\ 3&Denver& DEN&724 & -1.2\\ \hline \end{tabular}$

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.

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

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Flashcards: GMAT Integrated Reasoning

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.

Your answer:

I. False

II. False

III. True

Your answer:

I. True

II. False

III. False

Your answer:

I. False

II. True

III. True

Your answer:

I. True

II. True

III. False

Correct answer:

I. False

II. True

III. False

Explanation:

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,

724,948,1014,1134,1231

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

2,3,6,8,12

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.

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.

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

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

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

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

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

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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:

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

Your answer:

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

Your answer:

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

Your answer:

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

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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