In Goshawk-Eurasian nature reserve 30 percent of the birds

Question

Economist GMAT In Goshawk-Eurasian nature reserve 30 percent of the birds are Hawks, and 40 percent of the non-Hawks are Paddyfield-Warblers. If there are 25 percent as many Kingfishers as Paddyfield-Warblers in the reserve, then what percent of the birds in the nature reserve are not Hawks, Paddyfield-Warblers, or Kingfishers? A. 25% B. 35% C. 45% D. 70% E. 80% OA B

Jay@ManhattanReview · Answer

AAPL wrote:Economist GMAT In Goshawk-Eurasian nature reserve 30 percent of the birds are Hawks, and 40 percent of the non-Hawks are Paddyfield-Warblers. If there are 25 percent as many Kingfishers as Paddyfield-Warblers in the reserve, then what percent of the birds in the nature reserve are not Hawks, Paddyfield-Warblers, or Kingfishers? A. 25% B. 35% C. 45% D. 70% E. 80% OA B Say there are 100 birds in the reserve. Thus, there are 30 Hawks and 100 – 30 = 70 non-Hawks. Given 40 percent of the non-Hawks are Paddyfield-Warblers, there are 40% of 70 = 28 Paddyfield-Warblers. Thus, there are 70 – 28 = 42 non-hawk, non-Paddyfield-Warblers birds. Again, given there are 25 percent as many Kingfishers as Paddyfield-Warblers, there are 25% of 28 = 7. Thus, there are 42 – 7 = 35 non-hawk, non-Paddyfield-Warblers birds in the reserve. The correct answer: B Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Classes Johannesburg | GMAT Prep Courses Mumbai | Manhattan LSAT | SAT Manhattan Prep Classes | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

deloitte247 · Answer

Let the total number of birds = b
Hawks = 30% of b = 30/100 rb = 0.3b
Non hawks = ( 100 - 30 )% of b = 70% of b
= 70/100 * b = 0.7b
Paddyfield warblers = 40% of non hawks
= 40% of 0.7b = 40/100 * 0.7 * b
= 0.4 * 0.7 * b = 0.28b
Kingfishers = 25% of paddyfield warblers
= 25/100 * 0.28b = 0.25 * 0.28 * b
= 0.07b
% of birds in the nature reserve that are not hawks paddyfield-warblers or kingfishers =>
Let b = 100
Hawks = 0.3 * 100 = 30
Paddyfield-warblers = 0.28 * 100 = 28
Kingfishers = 0.07 * 100 = 7
Total number of birds that are not hawks, paddyfield or kingfishers
= total birds - hawks - paddtfield - kingfishers
= 100 - 30 - 28 - 7 = 35
Answer = option B

Scott@TargetTestPrep · Answer

AAPL wrote:Economist GMAT In Goshawk-Eurasian nature reserve 30 percent of the birds are Hawks, and 40 percent of the non-Hawks are Paddyfield-Warblers. If there are 25 percent as many Kingfishers as Paddyfield-Warblers in the reserve, then what percent of the birds in the nature reserve are not Hawks, Paddyfield-Warblers, or Kingfishers? A. 25% B. 35% C. 45% D. 70% E. 80% OA B We can let the total number of birds in the nature reserve be 100. Thus, we have 30 hawks, 0.4(70) = 28 paddyfield-warblers and 0.25(28) = 7 kingfishers. Therefore, 100 - (30 + 28 + 7) = 35, or 35%, of the birds are none of these three types of birds. Answer: B

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