GATE ME 2021 Set 1 — Question 8
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General Aptitude → Quantitative Aptitude → Ratios, Percentages, Powers, Exponents & Logarithms
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Question
The number of hens, ducks and goats in farm are , and , respectively. The total number of hens, ducks and goats in a nearby farm is . The ratio of in farm is . All the hens, ducks and goats are sent from farm to farm .
The new ratio of in farm is ___________
The new ratio of in farm is ___________
Correct answer
(C) 10:21:26
Solution
1.Farm initial counts: Hens = , Ducks = , Goats = .
2.Farm counts: Total = . Ratio . Sum of parts = .
- Hens in .
- Ducks in .
- Goats in .
- Total Hens = .
- Total Ducks = .
- Total Goats = .
Dividing by the common factor :
, , .
The ratio is .
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