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25 Jan 2021, 05:00
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
67% (02:53) correct
33%
(02:59)
wrong
based on 67
sessions
History
Date
Time
Result
Not Attempted Yet
Three boys stole certain number of mangoes and hide them in a safe place. One of the boys secretly ate one mango and stole one third of the remaining ones and went off. After some time the second boy came and did the same thing. Still later the third boy came and repeated the process. On the next day they found that the remaining mangoes could be equally divided among the three of them. How many mangoes did the three boys steal initially?
A. 16
B. 17
C. 19
D. 25
E. 31
A. 16
B. 17
C. 19
D. 25
E. 31
25 Jan 2021, 06:16
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It would be better to eliminate using the options.
Each set of remaining mangoes is 2/3 of the total after 1 mango has been eaten = 2/3 * (x - 1) (as 1/3rd is stolen after 1 is eaten)
Each of these remaining lots has to be divisible by 3.
Option A = 16 mangoes.
After the 1st boy, the remaining = 2/3 (16 - 1) = 10
After the 2nd boy, the remaining = 2/3 (10 - 1) = 6
After the 3rd boy, the remaining = 2/3 (6 - 1) = 2/3 * 5 which is a fraction.
Option B: After the 1st boy eats, we get the remaining as 2/3 * 16, which is a fraction, so this is not possible.
Option C: After the 1st Boy, we get 2/3 * 18 = 12, and after the 2nd boy, we get 2/3 * 11 which is a fraction.
Option D: After the 1st boy, we get 2/3 * 24 = 16, after the 2nd boy, we get 2/3 * 15 = 10 and after the 3rd boy, we get 2/3 * 9 = 6 and 6 is divisible by 3.
Option E: After the 1st boy, we get 2/3 * 30 = 20, after the 2nd boy, we get 2/3 * 19 which is a fraction.
Option D
Arun Kumar
Each set of remaining mangoes is 2/3 of the total after 1 mango has been eaten = 2/3 * (x - 1) (as 1/3rd is stolen after 1 is eaten)
Each of these remaining lots has to be divisible by 3.
Option A = 16 mangoes.
After the 1st boy, the remaining = 2/3 (16 - 1) = 10
After the 2nd boy, the remaining = 2/3 (10 - 1) = 6
After the 3rd boy, the remaining = 2/3 (6 - 1) = 2/3 * 5 which is a fraction.
Option B: After the 1st boy eats, we get the remaining as 2/3 * 16, which is a fraction, so this is not possible.
Option C: After the 1st Boy, we get 2/3 * 18 = 12, and after the 2nd boy, we get 2/3 * 11 which is a fraction.
Option D: After the 1st boy, we get 2/3 * 24 = 16, after the 2nd boy, we get 2/3 * 15 = 10 and after the 3rd boy, we get 2/3 * 9 = 6 and 6 is divisible by 3.
Option E: After the 1st boy, we get 2/3 * 30 = 20, after the 2nd boy, we get 2/3 * 19 which is a fraction.
Option D
Arun Kumar
24 May 2024, 06:37
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A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
