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26 Jul 2021, 05:15
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If 1/2 of the air in a balloon is removed every 10 seconds, what fraction of the air has been removed from the balloon after 30 seconds?
(A) 1/8
(B) 1/6
(C) 1/4
(D) 5/6
(E) 7/8
(A) 1/8
(B) 1/6
(C) 1/4
(D) 5/6
(E) 7/8
26 Jul 2021, 05:30
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Suppose initally 100.
After 10 seconds 50
After 20 seconds 25
After 30 seconds 12.5
So, removed = 87.5/100 = 7/8
After 10 seconds 50
After 20 seconds 25
After 30 seconds 12.5
So, removed = 87.5/100 = 7/8
08 Feb 2022, 20:48
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\(Amount\) \(of\) \(air\) \(removed\) \(after\) \(30\) \(secs\) = \(1-(\frac{1}{2}){^3}\) = \(1-\frac{1}{8}\) = \(\frac{7}{8}\) \((E)\)
