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In a country, the number of birds of 5 different species Osprey, Haw
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23 Mar 2023, 02:43
23 Mar 2023, 02:43
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In a country, the number of birds of 5 different species – Osprey, Hawks, Gull, Barbets & Swift was \(2^{31}, 8^{10}, 2^{30}, 2^{36}\) and \(4^{16}\) respectively. If exactly half of the Barbets birds died because of climate change, what is the total number of remaining birds in that country?
\(4 × 2^{30}\)
\(2^{32}\)
\(2^{33}\)
\(5× 2^{33}\)
\(8^{32}\)
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\(4 × 2^{30}\)
\(2^{32}\)
\(2^{33}\)
\(5× 2^{33}\)
\(8^{32}\)
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE EXPONENTS
Re: In a country, the number of birds of 5 different species Osprey, Haw
[#permalink]
23 Mar 2023, 17:53
23 Mar 2023, 17:53
1
Barbets = 2^36
Half died = 2^36 / 2 = 2^35
NOTE : While doing this in exam we may make mistakes taking half of 2^36 as 2^18 and there will be an answer option with this mistake
After half of birds died,
Total = 2 ^ 31 + 2 ^ 30 + 2 ^ 30 + 2^35 + 2^32
= 2^31 + 2^31 + 2^35 + 2^32
= 2^32 + 2^35 + 2^32
= 2 ^ 33 + 2 ^ 35
= 2^33(1 + 2^2)
= 5 * 2^33
Half died = 2^36 / 2 = 2^35
NOTE : While doing this in exam we may make mistakes taking half of 2^36 as 2^18 and there will be an answer option with this mistake
After half of birds died,
Total = 2 ^ 31 + 2 ^ 30 + 2 ^ 30 + 2^35 + 2^32
= 2^31 + 2^31 + 2^35 + 2^32
= 2^32 + 2^35 + 2^32
= 2 ^ 33 + 2 ^ 35
= 2^33(1 + 2^2)
= 5 * 2^33
gmatclubot
Re: In a country, the number of birds of 5 different species Osprey, Haw [#permalink]
23 Mar 2023, 17:53
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