GATE Exam > GATE Questions > The number of Hens, Ducks, and Goats in farm ...
Start Learning for Free
The number of Hens, Ducks, and Goats in farm P are 65, 91 and 169, respectively. The total number of Hens, Ducks and Goats in a nearby farm Q is 416. The ratio of hens : ducks : goats in farm Q is 5 : 14 : 13. All the hens, ducks and goats are sent from farm Q to farm P.
The new ratio of hens : ducks : goats in farm P is ____________.
- a)10 : 21 : 26
- b)21 : 10 : 26
- c)5 : 14 : 13
- d)5 : 7 : 13
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The number of Hens, Ducks, and Goats in farm P are 65, 91 and 169, res...
Given:
- Number of Hens, Ducks, and Goats in farm P are 65, 91 and 169, respectively.
- Total number of Hens, Ducks and Goats in a nearby farm Q is 416.
- Ratio of hens : ducks : goats in farm Q is 5 : 14 : 13.
To find: The new ratio of hens : ducks : goats in farm P after all the animals are sent from Q to P.
Solution:
1. Find the total number of animals in farm Q:
Total number of animals in farm Q = 5x + 14x + 13x = 416 (where x is the common factor)
32x = 416
x = 13
Therefore, the total number of animals in farm Q = 5x + 14x + 13x = 65 + 182 + 169 = 416
2. Find the number of each type of animal in farm Q:
Number of hens in farm Q = 5x = 5(13) = 65
Number of ducks in farm Q = 14x = 14(13) = 182
Number of goats in farm Q = 13x = 13(13) = 169
3. Find the number of each type of animal in farm P after all the animals are sent from Q to P:
Number of hens in farm P = 65 + (5/32) * 416 = 65 + 65 = 130
Number of ducks in farm P = 91 + (14/32) * 416 = 91 + 182 = 273
Number of goats in farm P = 169 + (13/32) * 416 = 169 + 169 = 338
4. Find the new ratio of hens : ducks : goats in farm P:
New ratio of hens : ducks : goats = 130 : 273 : 338
Divide each number by the greatest common factor to get the simplest ratio:
New ratio of hens : ducks : goats = 10 : 21 : 26
Therefore, the new ratio of hens : ducks : goats in farm P is 10 : 21 : 26.
- Number of Hens, Ducks, and Goats in farm P are 65, 91 and 169, respectively.
- Total number of Hens, Ducks and Goats in a nearby farm Q is 416.
- Ratio of hens : ducks : goats in farm Q is 5 : 14 : 13.
To find: The new ratio of hens : ducks : goats in farm P after all the animals are sent from Q to P.
Solution:
1. Find the total number of animals in farm Q:
Total number of animals in farm Q = 5x + 14x + 13x = 416 (where x is the common factor)
32x = 416
x = 13
Therefore, the total number of animals in farm Q = 5x + 14x + 13x = 65 + 182 + 169 = 416
2. Find the number of each type of animal in farm Q:
Number of hens in farm Q = 5x = 5(13) = 65
Number of ducks in farm Q = 14x = 14(13) = 182
Number of goats in farm Q = 13x = 13(13) = 169
3. Find the number of each type of animal in farm P after all the animals are sent from Q to P:
Number of hens in farm P = 65 + (5/32) * 416 = 65 + 65 = 130
Number of ducks in farm P = 91 + (14/32) * 416 = 91 + 182 = 273
Number of goats in farm P = 169 + (13/32) * 416 = 169 + 169 = 338
4. Find the new ratio of hens : ducks : goats in farm P:
New ratio of hens : ducks : goats = 130 : 273 : 338
Divide each number by the greatest common factor to get the simplest ratio:
New ratio of hens : ducks : goats = 10 : 21 : 26
Therefore, the new ratio of hens : ducks : goats in farm P is 10 : 21 : 26.
Free Test
FREE
| Start Free Test |
Community Answer
The number of Hens, Ducks, and Goats in farm P are 65, 91 and 169, res...
In Farm P:
Hens = 65, Ducks = 91 and Goats = 169
In Farm Q:
Total number of Hens, Ducks, and Goats = 416
The ratio of Hens : Ducks : Goats = 5 : 14 : 13
Total number of Hens = 5/32 × 416 = 65
Total number of Ducks = 14/32 × 416 = 182
Total numbers of Goats = 13/32 × 416=169
Total number of Ducks = 14/32 × 416 = 182
Total numbers of Goats = 13/32 × 416=169
From Farm P, all the Hens, Ducks and Goats are sent to Farm Q.
Total Hens in farm Q = 65 + 65 = 130
Total Ducks in farm Q = 91 + 182 = 273
Total Goats in farm Q = 169 + 169 = 338
New Ratio = 130 : 273 : 338 = 10 : 21 : 26
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
The number of Hens, Ducks, and Goats in farm P are 65, 91 and 169, respectively. The total number of Hens, Ducks and Goats in a nearby farm Q is 416. The ratio of hens : ducks : goats in farm Q is 5 : 14 : 13. All the hens, ducks and goats are sent from farm Q to farm P.The new ratio of hens : ducks : goats in farm P is ____________.a)10 : 21 : 26b)21 : 10 : 26c)5 : 14 : 13d)5 : 7 : 13Correct answer is option 'A'. Can you explain this answer?
Question Description
The number of Hens, Ducks, and Goats in farm P are 65, 91 and 169, respectively. The total number of Hens, Ducks and Goats in a nearby farm Q is 416. The ratio of hens : ducks : goats in farm Q is 5 : 14 : 13. All the hens, ducks and goats are sent from farm Q to farm P.The new ratio of hens : ducks : goats in farm P is ____________.a)10 : 21 : 26b)21 : 10 : 26c)5 : 14 : 13d)5 : 7 : 13Correct answer is option 'A'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The number of Hens, Ducks, and Goats in farm P are 65, 91 and 169, respectively. The total number of Hens, Ducks and Goats in a nearby farm Q is 416. The ratio of hens : ducks : goats in farm Q is 5 : 14 : 13. All the hens, ducks and goats are sent from farm Q to farm P.The new ratio of hens : ducks : goats in farm P is ____________.a)10 : 21 : 26b)21 : 10 : 26c)5 : 14 : 13d)5 : 7 : 13Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of Hens, Ducks, and Goats in farm P are 65, 91 and 169, respectively. The total number of Hens, Ducks and Goats in a nearby farm Q is 416. The ratio of hens : ducks : goats in farm Q is 5 : 14 : 13. All the hens, ducks and goats are sent from farm Q to farm P.The new ratio of hens : ducks : goats in farm P is ____________.a)10 : 21 : 26b)21 : 10 : 26c)5 : 14 : 13d)5 : 7 : 13Correct answer is option 'A'. Can you explain this answer?.
The number of Hens, Ducks, and Goats in farm P are 65, 91 and 169, respectively. The total number of Hens, Ducks and Goats in a nearby farm Q is 416. The ratio of hens : ducks : goats in farm Q is 5 : 14 : 13. All the hens, ducks and goats are sent from farm Q to farm P.The new ratio of hens : ducks : goats in farm P is ____________.a)10 : 21 : 26b)21 : 10 : 26c)5 : 14 : 13d)5 : 7 : 13Correct answer is option 'A'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The number of Hens, Ducks, and Goats in farm P are 65, 91 and 169, respectively. The total number of Hens, Ducks and Goats in a nearby farm Q is 416. The ratio of hens : ducks : goats in farm Q is 5 : 14 : 13. All the hens, ducks and goats are sent from farm Q to farm P.The new ratio of hens : ducks : goats in farm P is ____________.a)10 : 21 : 26b)21 : 10 : 26c)5 : 14 : 13d)5 : 7 : 13Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of Hens, Ducks, and Goats in farm P are 65, 91 and 169, respectively. The total number of Hens, Ducks and Goats in a nearby farm Q is 416. The ratio of hens : ducks : goats in farm Q is 5 : 14 : 13. All the hens, ducks and goats are sent from farm Q to farm P.The new ratio of hens : ducks : goats in farm P is ____________.a)10 : 21 : 26b)21 : 10 : 26c)5 : 14 : 13d)5 : 7 : 13Correct answer is option 'A'. Can you explain this answer?.
Solutions for The number of Hens, Ducks, and Goats in farm P are 65, 91 and 169, respectively. The total number of Hens, Ducks and Goats in a nearby farm Q is 416. The ratio of hens : ducks : goats in farm Q is 5 : 14 : 13. All the hens, ducks and goats are sent from farm Q to farm P.The new ratio of hens : ducks : goats in farm P is ____________.a)10 : 21 : 26b)21 : 10 : 26c)5 : 14 : 13d)5 : 7 : 13Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of The number of Hens, Ducks, and Goats in farm P are 65, 91 and 169, respectively. The total number of Hens, Ducks and Goats in a nearby farm Q is 416. The ratio of hens : ducks : goats in farm Q is 5 : 14 : 13. All the hens, ducks and goats are sent from farm Q to farm P.The new ratio of hens : ducks : goats in farm P is ____________.a)10 : 21 : 26b)21 : 10 : 26c)5 : 14 : 13d)5 : 7 : 13Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The number of Hens, Ducks, and Goats in farm P are 65, 91 and 169, respectively. The total number of Hens, Ducks and Goats in a nearby farm Q is 416. The ratio of hens : ducks : goats in farm Q is 5 : 14 : 13. All the hens, ducks and goats are sent from farm Q to farm P.The new ratio of hens : ducks : goats in farm P is ____________.a)10 : 21 : 26b)21 : 10 : 26c)5 : 14 : 13d)5 : 7 : 13Correct answer is option 'A'. Can you explain this answer?, a detailed solution for The number of Hens, Ducks, and Goats in farm P are 65, 91 and 169, respectively. The total number of Hens, Ducks and Goats in a nearby farm Q is 416. The ratio of hens : ducks : goats in farm Q is 5 : 14 : 13. All the hens, ducks and goats are sent from farm Q to farm P.The new ratio of hens : ducks : goats in farm P is ____________.a)10 : 21 : 26b)21 : 10 : 26c)5 : 14 : 13d)5 : 7 : 13Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of The number of Hens, Ducks, and Goats in farm P are 65, 91 and 169, respectively. The total number of Hens, Ducks and Goats in a nearby farm Q is 416. The ratio of hens : ducks : goats in farm Q is 5 : 14 : 13. All the hens, ducks and goats are sent from farm Q to farm P.The new ratio of hens : ducks : goats in farm P is ____________.a)10 : 21 : 26b)21 : 10 : 26c)5 : 14 : 13d)5 : 7 : 13Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The number of Hens, Ducks, and Goats in farm P are 65, 91 and 169, respectively. The total number of Hens, Ducks and Goats in a nearby farm Q is 416. The ratio of hens : ducks : goats in farm Q is 5 : 14 : 13. All the hens, ducks and goats are sent from farm Q to farm P.The new ratio of hens : ducks : goats in farm P is ____________.a)10 : 21 : 26b)21 : 10 : 26c)5 : 14 : 13d)5 : 7 : 13Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup