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15 Full-length GMAT FE mocks with insightful analytics, weakness diagnosis, and video explanations!
Dropdown 1: negative
Dropdown 2: 0.57
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
76% (02:00) correct
24%
(02:26)
wrong
based on 55
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A battery-testing laboratory measured the internal resistance and discharge duration of 22 rechargeable batteries. Eleven batteries used Cell Type P and eleven used Cell Type Q. The graph shows the internal resistance, in milliohms, and the discharge duration, in hours, for each battery.
Based on the information provided, select from each drop-down menu the option that completes the statement most accurately.
The correlation between internal resistance and discharge duration for the batteries in the study is .
If a battery with a discharge duration of less than 6 hours were selected at random, the probability that it would use Cell Type Q, to the nearest hundredth, is .
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Official Answer
Dropdown 1: negative
Dropdown 2: 0.57
17 Sep 2026, 01:45
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A battery-testing laboratory measured the internal resistance and discharge duration of 22 rechargeable batteries. Eleven batteries used Cell Type P and eleven used Cell Type Q. The graph shows the internal resistance, in milliohms, and the discharge duration, in hours, for each battery.
Based on the information provided, select from each drop-down menu the option that completes the statement most accurately.
The correlation between internal resistance and discharge duration for the batteries in the study is .
If a battery with a discharge duration of less than 6 hours were selected at random, the probability that it would use Cell Type Q, to the nearest hundredth, is .
Official Solution:
Drop-down 1:
A positive correlation means that as one variable increases, the other generally tends to increase as well. A negative correlation means that as one variable increases, the other generally tends to decrease.
Looking at the graph, as internal resistance increases, discharge duration generally decreases. Although the individual points are scattered and do not follow a straight line, the overall pattern clearly slopes downward from left to right.
Therefore, the correlation between internal resistance and discharge duration is strongly negative.
Drop-down 2:
Consider only the batteries with a discharge duration of less than 6 hours.
There are 7 such batteries in total. Of these, 4 are Cell Type Q.
Therefore, the probability that a randomly selected battery from this group would be Cell Type Q is:
4/7 = 0.5714...
To the nearest hundredth, 0.5714... rounds to 0.57.
Therefore, the correct selection is 0.57.
Correct answer:
Drop-down 1: "strongly negative"
Drop-down 2: "0.57"
General Discussion
09 Sep 2026, 07:36
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From the Graph it is evident that Discharge hours are decreasing as Internal resistance is Increasing. Therefore, Negative correlation for both Cell P,Q.
Among the cell with less than 6 hrs discharge, Cell P have 3 and Cell Q have 4 batteries. Therefore, Prob of a Cell Q battery is selected at random is 4/7 = .57
Among the cell with less than 6 hrs discharge, Cell P have 3 and Cell Q have 4 batteries. Therefore, Prob of a Cell Q battery is selected at random is 4/7 = .57
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