Quant Exam > Quant Questions > Gandhiji owns cows, some black and some white...
Start Learning for Free
Gandhiji owns cows, some black and some white. He finds that 4 black cows and 3 white cows gave the same amount of milk in 5 days as 3 black cows and 5 white cows gave in 4 days. What is the ratio of milk given by a black cow in a day to that given by a white cow in a day?
- a)8 : 5
- b)5 : 8
- c)3 : 5
- d)5 : 3
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Gandhiji owns cows, some black and some white. He finds that 4 black c...
Let 1 black cow gives x litres milk in 1 day and 1 white cow gives y litres milk in 1 day. Then 5(4.x + 3y) = 4(3x + 5y) ⇒ 20x + 15y = 12x + 20y
Most Upvoted Answer
Gandhiji owns cows, some black and some white. He finds that 4 black c...
To solve this problem, let's assume that the amount of milk given by a black cow in a day is 'b' and the amount of milk given by a white cow in a day is 'w'.
According to the given information, 4 black cows and 3 white cows gave the same amount of milk in 5 days as 3 black cows and 5 white cows gave in 4 days.
We can express this information mathematically as follows:
(4b * 5) + (3w * 5) = (3b * 4) + (5w * 4)
Simplifying this equation, we get:
20b + 15w = 12b + 20w
Rearranging the terms, we get:
20b - 12b = 20w - 15w
8b = 5w
Now, we can calculate the ratio of milk given by a black cow to that given by a white cow by dividing both sides of the equation by 'w':
(8b / w) = (5w / w)
Simplifying further, we get:
8b / w = 5
Therefore, the ratio of milk given by a black cow in a day to that given by a white cow in a day is 8 : 5.
Hence, the correct answer is option 'B' (5 : 8).
According to the given information, 4 black cows and 3 white cows gave the same amount of milk in 5 days as 3 black cows and 5 white cows gave in 4 days.
We can express this information mathematically as follows:
(4b * 5) + (3w * 5) = (3b * 4) + (5w * 4)
Simplifying this equation, we get:
20b + 15w = 12b + 20w
Rearranging the terms, we get:
20b - 12b = 20w - 15w
8b = 5w
Now, we can calculate the ratio of milk given by a black cow to that given by a white cow by dividing both sides of the equation by 'w':
(8b / w) = (5w / w)
Simplifying further, we get:
8b / w = 5
Therefore, the ratio of milk given by a black cow in a day to that given by a white cow in a day is 8 : 5.
Hence, the correct answer is option 'B' (5 : 8).
Free Test
FREE
| Start Free Test |
Community Answer
Gandhiji owns cows, some black and some white. He finds that 4 black c...
To solve this problem, let's assume that the amount of milk given by a black cow in a day is 'x' liters and the amount of milk given by a white cow in a day is 'y' liters.
We are given the following information:
4x + 3y = 5 ---(Equation 1) (4 black cows and 3 white cows gave the same amount of milk in 5 days)
3x + 5y = 4 ---(Equation 2) (3 black cows and 5 white cows gave the same amount of milk in 4 days)
To find the ratio of milk given by a black cow to that given by a white cow, we need to find the value of x/y.
Solving the two equations simultaneously:
Multiply Equation 1 by 3 and Equation 2 by 4 to eliminate x:
12x + 9y = 15 ---(Equation 3)
12x + 20y = 16 ---(Equation 4)
Subtract Equation 3 from Equation 4:
12x + 20y - (12x + 9y) = 16 - 15
11y = 1
y = 1/11
Substitute the value of y in Equation 1:
4x + 3(1/11) = 5
4x + 3/11 = 5
4x = 5 - 3/11
4x = 55/11 - 3/11
4x = 52/11
x = 52/44
x = 13/11
Therefore, the ratio of milk given by a black cow to that given by a white cow is:
x/y = (13/11)/(1/11) = 13/1 = 13
However, none of the given options matches the ratio 13:1. Therefore, there might be an error in the question or the options provided.
We are given the following information:
4x + 3y = 5 ---(Equation 1) (4 black cows and 3 white cows gave the same amount of milk in 5 days)
3x + 5y = 4 ---(Equation 2) (3 black cows and 5 white cows gave the same amount of milk in 4 days)
To find the ratio of milk given by a black cow to that given by a white cow, we need to find the value of x/y.
Solving the two equations simultaneously:
Multiply Equation 1 by 3 and Equation 2 by 4 to eliminate x:
12x + 9y = 15 ---(Equation 3)
12x + 20y = 16 ---(Equation 4)
Subtract Equation 3 from Equation 4:
12x + 20y - (12x + 9y) = 16 - 15
11y = 1
y = 1/11
Substitute the value of y in Equation 1:
4x + 3(1/11) = 5
4x + 3/11 = 5
4x = 5 - 3/11
4x = 55/11 - 3/11
4x = 52/11
x = 52/44
x = 13/11
Therefore, the ratio of milk given by a black cow to that given by a white cow is:
x/y = (13/11)/(1/11) = 13/1 = 13
However, none of the given options matches the ratio 13:1. Therefore, there might be an error in the question or the options provided.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Gandhiji owns cows, some black and some white. He finds that 4 black cows and 3 white cows gave the same amount of milk in 5 days as 3 black cows and 5 white cows gave in 4 days. What is the ratio of milk given by a black cow in a day to that given by a white cow in a day?a)8 : 5b)5 : 8c)3 : 5d)5 : 3Correct answer is option 'B'. Can you explain this answer?
Question Description
Gandhiji owns cows, some black and some white. He finds that 4 black cows and 3 white cows gave the same amount of milk in 5 days as 3 black cows and 5 white cows gave in 4 days. What is the ratio of milk given by a black cow in a day to that given by a white cow in a day?a)8 : 5b)5 : 8c)3 : 5d)5 : 3Correct answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Gandhiji owns cows, some black and some white. He finds that 4 black cows and 3 white cows gave the same amount of milk in 5 days as 3 black cows and 5 white cows gave in 4 days. What is the ratio of milk given by a black cow in a day to that given by a white cow in a day?a)8 : 5b)5 : 8c)3 : 5d)5 : 3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Gandhiji owns cows, some black and some white. He finds that 4 black cows and 3 white cows gave the same amount of milk in 5 days as 3 black cows and 5 white cows gave in 4 days. What is the ratio of milk given by a black cow in a day to that given by a white cow in a day?a)8 : 5b)5 : 8c)3 : 5d)5 : 3Correct answer is option 'B'. Can you explain this answer?.
Gandhiji owns cows, some black and some white. He finds that 4 black cows and 3 white cows gave the same amount of milk in 5 days as 3 black cows and 5 white cows gave in 4 days. What is the ratio of milk given by a black cow in a day to that given by a white cow in a day?a)8 : 5b)5 : 8c)3 : 5d)5 : 3Correct answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Gandhiji owns cows, some black and some white. He finds that 4 black cows and 3 white cows gave the same amount of milk in 5 days as 3 black cows and 5 white cows gave in 4 days. What is the ratio of milk given by a black cow in a day to that given by a white cow in a day?a)8 : 5b)5 : 8c)3 : 5d)5 : 3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Gandhiji owns cows, some black and some white. He finds that 4 black cows and 3 white cows gave the same amount of milk in 5 days as 3 black cows and 5 white cows gave in 4 days. What is the ratio of milk given by a black cow in a day to that given by a white cow in a day?a)8 : 5b)5 : 8c)3 : 5d)5 : 3Correct answer is option 'B'. Can you explain this answer?.
Solutions for Gandhiji owns cows, some black and some white. He finds that 4 black cows and 3 white cows gave the same amount of milk in 5 days as 3 black cows and 5 white cows gave in 4 days. What is the ratio of milk given by a black cow in a day to that given by a white cow in a day?a)8 : 5b)5 : 8c)3 : 5d)5 : 3Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of Gandhiji owns cows, some black and some white. He finds that 4 black cows and 3 white cows gave the same amount of milk in 5 days as 3 black cows and 5 white cows gave in 4 days. What is the ratio of milk given by a black cow in a day to that given by a white cow in a day?a)8 : 5b)5 : 8c)3 : 5d)5 : 3Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Gandhiji owns cows, some black and some white. He finds that 4 black cows and 3 white cows gave the same amount of milk in 5 days as 3 black cows and 5 white cows gave in 4 days. What is the ratio of milk given by a black cow in a day to that given by a white cow in a day?a)8 : 5b)5 : 8c)3 : 5d)5 : 3Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Gandhiji owns cows, some black and some white. He finds that 4 black cows and 3 white cows gave the same amount of milk in 5 days as 3 black cows and 5 white cows gave in 4 days. What is the ratio of milk given by a black cow in a day to that given by a white cow in a day?a)8 : 5b)5 : 8c)3 : 5d)5 : 3Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Gandhiji owns cows, some black and some white. He finds that 4 black cows and 3 white cows gave the same amount of milk in 5 days as 3 black cows and 5 white cows gave in 4 days. What is the ratio of milk given by a black cow in a day to that given by a white cow in a day?a)8 : 5b)5 : 8c)3 : 5d)5 : 3Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Gandhiji owns cows, some black and some white. He finds that 4 black cows and 3 white cows gave the same amount of milk in 5 days as 3 black cows and 5 white cows gave in 4 days. What is the ratio of milk given by a black cow in a day to that given by a white cow in a day?a)8 : 5b)5 : 8c)3 : 5d)5 : 3Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant 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