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15 Jan 2026, 22:00
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
36% (01:36) correct
64%
(01:30)
wrong
based on 103
sessions
History
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Time
Result
Not Attempted Yet
A helium balloon begins to slowly lose helium. Did the balloon contain more than 5 gallons of helium when it was first inflated? (Note: 1 gallon = 128 ounces)
(1) The helium leaked at a constant rate of .32 ounces per minute.
(2) The balloon was fully deflated within 48 hours of its inflation.
(1) The helium leaked at a constant rate of .32 ounces per minute.
(2) The balloon was fully deflated within 48 hours of its inflation.
17 Jan 2026, 09:47
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ExpertsGlobal5
Shouldn't it be C as considering 5 gallons = 640 ounces and the balloon was leaking at a constant rate of .32*60 = 19.2 ounces per hour for 48 hours. Meaning when it was fully inflated it contained of 19.2*48 =921.6 ounces of gas.
18 Jan 2026, 11:45
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ExpertsGlobal5
Explanation:
Let the time taken for the balloon to deflate be T.
Let the rate of helium leak be R.
Let the amount of helium in the balloon when it was first inflated be H.
We need to find whether H > 5 gallons.
Statement (1)
R = 0.32 ounces per minute
It is NOT possible to determine with certainty whether H is greater than 5 gallons. Hence, Statement (1) is insufficient.
Statement (2)
T < 48 hours.
It is NOT possible to determine with certainty whether H is greater than 5 gallons. Hence, Statement (2) is insufficient.
As Statement (1) alone as well as Statement (2) alone is insufficient to answer the question, we need to now combine the two statements.
Statement (1) and Statement (2) combined
R = 0.32 ounces per minute = [(0.32 X 60)/128] gallons per hour = 0.15 gallons per hour.
R X T = H
Possibility 1: If T = 10, then H = 0.15 X 10 = 1.5. In this case, H is NOT greater than 5 gallons.
Possibility 2: If T = 40, then H = 0.15 X 40 = 6. In this case, H is greater than 5 gallons.
It is NOT possible to determine with certainty whether H is greater than 5 gallons. Hence, Statement (1) and Statement (2) combined are insufficient.
E is the correct answer choice.
