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14 Apr 2025, 00:30
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C
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:
70% (01:39) correct
30%
(01:17)
wrong
based on 94
sessions
History
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Time
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Not Attempted Yet
John places balls into 7 boxes, putting at least one ball in each box. Did he place more than 7 balls in any one box?
(1) The number of balls in each of the 7 boxes is different.
(2) The total number of balls placed in the boxes is 29.
(1) The number of balls in each of the 7 boxes is different.
(2) The total number of balls placed in the boxes is 29.
John puts balls in 7 boxes, and put at least 1 ball in each box. Did he put more than 7 balls in at least one box?
1) The number of balls in each of the 7 boxes are different
2) The total number of balls put into box is 29.
1) The number of balls in each of the 7 boxes are different
2) The total number of balls put into box is 29.
Updated on: 15 Apr 2025, 05:40
Originally posted by ManifestDreamMBA on 14 Apr 2025, 00:53.
Last edited by ManifestDreamMBA on 15 Apr 2025, 05:40, edited 1 time in total.
Last edited by ManifestDreamMBA on 15 Apr 2025, 05:40, edited 1 time in total.
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Did he place more than 7 balls in any one box?
Statement 1
Since there are at least one ball in each box. The min number of balls in each box could be as shown below
Boxes. 1--2--3 --4--5--6--7
Min Balls 1--2--3 --4--5--6--7
We cannot be sure that it is more than 7
Insufficient
Statement 2
T = 29
But we don't know anything else to answer the question
Boxes could have 4,4,4,4,4,4,5 or 1,1,1,1,1,1,23
Insufficient
Combined, we have If we consider scenario in statement 1, we have total = 7*6/2 = 21. This suggests at least 1 box has more than 7 balls
Answer C
Statement 1
Since there are at least one ball in each box. The min number of balls in each box could be as shown below
Boxes. 1--2--3 --4--5--6--7
Min Balls 1--2--3 --4--5--6--7
We cannot be sure that it is more than 7
Insufficient
Statement 2
T = 29
But we don't know anything else to answer the question
Boxes could have 4,4,4,4,4,4,5 or 1,1,1,1,1,1,23
Insufficient
Combined, we have If we consider scenario in statement 1, we have total = 7*6/2 = 21. This suggests at least 1 box has more than 7 balls
Answer C
Bunuel
14 Apr 2025, 01:39
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Bunuel
Boxes = 7
Keeping minimum one ball in 7 boxes requires minimum 7 balls
A great tip for hard questions like this: to ensure that he has more than 7 balls in at least one box, balls required = 6*6 (6 balls in 6 boxes each) +7 (balls in 7th box) = 36+7 = 43
Question: Did he place more than 7 balls in any one box?
Statement 1: The number of balls in each of the 7 boxes is different.
i.e. balls have to be minimum {1, 2, 3, 4, 5, 6, 7}
so one box is certain to get min 7 balls hence
SUFFICIENT
Statement 2: The total number of balls placed in the boxes is 29.
that's not sufficient however if this number would have been 43 instead of 29 (as mentioned above in highlighted box area) then it could have been succificient
NOT SUFFICIENT
Answer: Option A
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