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Employees at a certain company were asked to choose which of four methods of training-visual, aural, print, and kinesthetic-to include...

GMAT Graphics Interpretation : (GI) Questions

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Chart showing percentages of survey respondents who chose different combinations of training methods

Employees at a certain company were asked to choose which of four methods of training-visual, aural, print, and kinesthetic-to include in an upcoming training seminar. Each respondent to the survey chose from one to four of the methods. For each of the four methods, the chart shows the percentage of respondents who chose only that method. The chart also shows the percentage of respondents who chose exactly two of the methods, exactly three of the methods, and all four of the methods.


Select from the drop-down menus the options that create the statement that is most strongly supported by the information provided.

It must be the case thatof the employees chose themethod.
Solution

Owning The Dataset

Table 1: Text Analysis

Text Component Content
Survey Context Employees at a company were surveyed
Training Methods Visual, aural, print, kinesthetic
Selection Method Employees could pick from one to four methods
Chart Shows (singles) % who chose only visual, only aural, only print, or only kinesthetic
Chart Shows (multiples) % who chose exactly two, exactly three, or all four methods

Table 2: Chart Analysis

Chart Slice Percentage Description
Visual only 3.1% Chose only visual method
Aural only 7.1% Chose only aural method
Kinesthetic only 11.8% Chose only kinesthetic method
Print only 19.1% Chose only print method
Exactly two 14.9% Chose exactly two of the four methods
Exactly three 12.1% Chose exactly three of the four methods
All four 31.9% Chose all four methods

Key Insights

  1. The largest single group of respondents (31.9%) chose all four methods, indicating most preferred a broad training approach.
  2. Print is the most popular single-method choice (19.1%), while visual is the least (3.1%).
  3. A majority of employees (58.9%) selected more than one method (sum of exactly two, exactly three, and all four).
  4. Key calculations for any method must consider all relevant slices, since some people chose combinations.

Step-by-Step Solution

Question 1: Percentage Range for a Method

Complete Statement:

It must be the case that [BLANK 1: percentage range] of the employees chose the [BLANK 2: method] method.

Breaking Down the Statement
  • Statement Breakdown 1:
    • Key Phrase: It must be the case that
      • Meaning: We are seeking a definite, guaranteed truth based on the data.
      • Relation to Chart: We must look for a percentage that is certainly met, not just possibly.
      • Important Implications: The answer must account for the minimum number of employees who chose each method.
  • Statement Breakdown 2:
    • Key Phrase: of the employees chose the [method] method
      • Meaning: Refers to all employees who selected the specified method, whether alone or in combination.
      • Relation to Chart: This includes single-method, double-method, triple-method, and all-four method selectors who chose this method.
      • Important Implications: We must add together percentages for those who chose only that method and those who included it as one among multiple methods.

What is needed: The minimum percentage of employees who chose a specific method, definitely—i.e., adding 'only' and 'all four' categories for each method.

Solution:
  • Condensed Solution Implementation:
    Calculate the minimum guaranteed percentage for each method by adding the percentage who chose only that method and the percentage who chose all four methods.
  • Necessary Data points:
    Visual only: 3.1%, Aural only: 7.1%, Kinesthetic only: 11.8%, Print only: 19.1%, All four: 31.9%
    • Calculations Estimations:
      Visual: \(\mathrm{3.1\% + 31.9\% = 35.0\%}\); Aural: \(\mathrm{7.1\% + 31.9\% = 39.0\%}\); Kinesthetic: \(\mathrm{11.8\% + 31.9\% = 43.7\%}\); Print: \(\mathrm{19.1\% + 31.9\% = 51.0\%}\)
    • Comparison to Answer Choices:
      Only Print method exceeds 50% (51.0%), so the correct percentage range is 'more than 50 percent'.
FINAL ANSWER Blank 1: more than 50 percent

Question 2: Which Method

Complete Statement:

It must be the case that more than 50 percent of the employees chose the [BLANK 2: method] method.

Breaking Down the Statement
  • Statement Breakdown 1:
    • Key Phrase: more than 50 percent of the employees chose the [method] method
      • Meaning: We are looking for the method with a guaranteed total percentage above 50%.
      • Relation to Chart: From previous calculation, find which method's minimum percentage is more than 50%.

What is needed: Which method's minimum guaranteed percentage is above 50%.

Solution:
  • Condensed Solution Implementation:
    Using the previously computed minimum guaranteed percentages for all methods, select the one(s) above 50%.
  • Necessary Data points:
    Calculated minimums: Visual: 35.0%; Aural: 39.0%; Kinesthetic: 43.7%; Print: 51.0%
    • Calculations Estimations:
      Among the four methods, only Print surpasses the 50% minimum.
    • Comparison to Answer Choices:
      Print is the only method for which more than 50% of employees must have chosen it.
FINAL ANSWER Blank 2: Print

Summary

By adding each method's 'only' percentage to the 'all four' percentage, we can determine the minimum percentage of employees who selected each method. Print is the only method with a sum above 50%, making both correct blanks: 'more than 50 percent' and 'Print'.

Question Independence Analysis

The blanks are dependent: the percentage range in Blank 1 dictates that only one method (Print) fits in Blank 2. Both are tied to the same underlying analysis.

Answer Choices Explained
It must be the case that
1A
less than 25 percent
1B
more than 25 but less than 50 percent
1C
more than 50 percent
of the employees chose the
2A
Visual
2B
Aural
2C
Kinesthetic
2D
Print
method.
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