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23 Dec 2025, 09:00
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Difficulty:
55%
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Question Stats:
74% (02:22) correct
26%
(03:10)
wrong
based on 198
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In a confrontation with battle droids, twelve Jedi engage in combat. Each Jedi can destroy 10 droids per minute. At the end of each minute, four Jedi retreat and are replaced by four Padawans, each of whom can destroy half as many droids as a Jedi per minute. After the last four Jedi retreat, the Padawans continue fighting the droids alone. At the end of the confrontation, a total of 720 battle droids are destroyed. Throughout the confrontation, all Jedi and Padawans fight at their full rates, with none incapacitated. How many minutes did the Padawans fight alone after the last Jedi retreated?
A. 3
B. 3.5
C. 6
D. 7
E. 10
M46-20
A. 3
B. 3.5
C. 6
D. 7
E. 10
M46-20
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GMAT Club Official Explanation:
In the first minute, 12 Jedi destroy 120 droids.
In the second minute, 8 Jedi destroy 80 droids and 4 Padawans destroy 20 droids, for a total of 100 droids.
In the third minute, 4 Jedi destroy 40 droids and 8 Padawans destroy 40 droids, for a total of 80 droids.
So, before the last Jedi retreats, 120 + 100 + 80 = 300 droids have been destroyed.
With a total of 720 droids destroyed, the Padawans destroy 720 - 300 = 420 droids after the last Jedi retreats. Since the 12 Padawans destroy 12 * 5 = 60 droids per minute, it takes them 420/60 = 7 minutes to destroy the remaining droids.
Answer: D.
General Discussion
23 Dec 2025, 09:26
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In a confrontation with battle droids, twelve Jedi engage in combat. Each Jedi can destroy 10 droids per minute. At the end of each minute, four Jedi retreat and are replaced by four Padawans, each of whom can destroy half as many droids as a Jedi per minute. After the last four Jedi retreat, the Padawans continue fighting the droids alone. At the end of the confrontation, a total of 720 battle droids are destroyed. Throughout the confrontation, all Jedi and Padawans fight at their full rates, with none incapacitated. How many minutes did the Padawans fight alone after the last Jedi retreated?
A. 3
B. 3.5
C. 6
D. 7
E. 10
Jedi are 12 & Padawans are 4 after each minute 4 Jedi leave
total droids are 720
rate of Jedi 10 and Padawans is 5
1st minute = 10*12 ; 120
2nd minute = 8*10+4*5 ; 100
3rd minute = 4*10 + 8*5 ; 80
in 1st four minutes droid destroyed are (120+100+80) ; 300
left with 720-300 ; 420
which will be destroyed by Padawans @ 12*5 ; 60 per minute
time it will take when Padawans are alone fighting ; 420/60 ; 7 minutes
OPTION D ; 7
A. 3
B. 3.5
C. 6
D. 7
E. 10
Jedi are 12 & Padawans are 4 after each minute 4 Jedi leave
total droids are 720
rate of Jedi 10 and Padawans is 5
1st minute = 10*12 ; 120
2nd minute = 8*10+4*5 ; 100
3rd minute = 4*10 + 8*5 ; 80
in 1st four minutes droid destroyed are (120+100+80) ; 300
left with 720-300 ; 420
which will be destroyed by Padawans @ 12*5 ; 60 per minute
time it will take when Padawans are alone fighting ; 420/60 ; 7 minutes
OPTION D ; 7
