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13 Mar 2023, 01:30
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
60% (01:31) correct
40%
(01:30)
wrong
based on 120
sessions
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Five boxes together weigh 150 pounds. What is the weight of the heaviest box?
(1) One of the boxes weighs 80 pounds.
(2) The lightest box weighs four pounds and three of the other boxes have the same weight.
(1) One of the boxes weighs 80 pounds.
(2) The lightest box weighs four pounds and three of the other boxes have the same weight.
option A correct
13 Mar 2023, 04:12
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Five boxes together weigh 150 pounds. What is the weight of the heaviest box?
(1) One of the boxes weighs 80 pounds.
(2) The lightest box weighs four pounds and three of the other boxes have the same weight.
Solution:
Let the 5 boxes be=a,b,c,d,e
a+b+c+d+e=150
1) One of the boxes weighs 80 pounds.
If one of the boxes weighs 80 pounds then the sum of the remaining 4 boxes must be 70 pounds, thus, the weight of any of the remaining four boxes cannot be more than 80 pounds. Hence, statement 1 is sufficient.
2) The lightest box weighs four pounds and three of the other boxes have the same weight.
4+3x+e=150
3x+e=146
This is not sufficient to answer the question.
Therefore, the answer must be A IMO.
(1) One of the boxes weighs 80 pounds.
(2) The lightest box weighs four pounds and three of the other boxes have the same weight.
Solution:
Let the 5 boxes be=a,b,c,d,e
a+b+c+d+e=150
1) One of the boxes weighs 80 pounds.
If one of the boxes weighs 80 pounds then the sum of the remaining 4 boxes must be 70 pounds, thus, the weight of any of the remaining four boxes cannot be more than 80 pounds. Hence, statement 1 is sufficient.
2) The lightest box weighs four pounds and three of the other boxes have the same weight.
4+3x+e=150
3x+e=146
This is not sufficient to answer the question.
Therefore, the answer must be A IMO.
