Quant Exam > Quant Questions > 15 litres of the milk is drawn out of a jar a...
Start Learning for Free
15 litres of the milk is drawn out of a jar and filled with water. This operation is performed 1 more times. If the ratio of the quantity of milk left in jar to that of water in jar is 16 : 9, what was the initial quantity of milk present in the jar?
- a)60 litres
- b)55 litres
- c)80 litres
- d)85 litres
- e)75 litres
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
15 litres of the milk is drawn out of a jar and filled with water. Thi...
E) 75 litres Explanation: Let initial quantity of milk = x litres After two times, quantity of milk left in jar = x [1 – 15/x] So x [1 – 15/x] / x = 16/16+9 [1 – 15/x] = 16/25 Square root both sides, so [1 – 15/x] = 4/5 Solve, x = 75
Most Upvoted Answer
15 litres of the milk is drawn out of a jar and filled with water. Thi...
To solve this problem, let's break it down into steps:
Step 1: Find the amount of milk left in the jar after the first operation.
- Let's assume the initial quantity of milk in the jar is 'x' liters.
- After the first operation, 15 liters of milk is drawn out and replaced with water. So, the quantity of milk left in the jar is (x - 15) liters.
- Since the ratio of milk to water is 16:9, the quantity of water in the jar is (9/16)(x - 15) liters.
Step 2: Find the amount of milk left in the jar after the second operation.
- In the second operation, 15 liters of the mixture (milk + water) is drawn out and replaced with water.
- The quantity of the mixture after the first operation is (x - 15 + 9/16)(x - 15) liters.
- After the second operation, 15 liters of the mixture is drawn out again, so the quantity of the mixture left in the jar is (x - 15 + 9/16)(x - 15) - 15 liters.
- The quantity of milk left in the jar is (x - 15 + 9/16)(x - 15) - 15 - (9/16)(x - 15) liters.
Step 3: Set up the equation based on the given information.
- According to the problem, the ratio of milk left to water in the jar is 16:9, which can be written as:
(x - 15 + 9/16)(x - 15) - 15 - (9/16)(x - 15) : (9/16)(x - 15) = 16 : 9
Step 4: Solve the equation to find the initial quantity of milk.
- Multiply both sides of the equation by 16 and 9 to get rid of the ratio:
16[(x - 15 + 9/16)(x - 15) - 15 - (9/16)(x - 15)] = 9[(9/16)(x - 15)]
- Simplify the equation:
16(x - 15 + 9/16)(x - 15) - 240 - 9(x - 15) = 0
- Expand and simplify the equation:
16x^2 - 240x + 144 - 240 - 9x + 135 = 0
16x^2 - 249x + 39 = 0
- Solve the quadratic equation using the quadratic formula or factoring, and we get x = 75 or x = 5/16.
- Since the quantity of milk cannot be 5/16 liters, the initial quantity of milk in the jar is 75 liters.
So, the correct answer is option (e) 75 liters.
Step 1: Find the amount of milk left in the jar after the first operation.
- Let's assume the initial quantity of milk in the jar is 'x' liters.
- After the first operation, 15 liters of milk is drawn out and replaced with water. So, the quantity of milk left in the jar is (x - 15) liters.
- Since the ratio of milk to water is 16:9, the quantity of water in the jar is (9/16)(x - 15) liters.
Step 2: Find the amount of milk left in the jar after the second operation.
- In the second operation, 15 liters of the mixture (milk + water) is drawn out and replaced with water.
- The quantity of the mixture after the first operation is (x - 15 + 9/16)(x - 15) liters.
- After the second operation, 15 liters of the mixture is drawn out again, so the quantity of the mixture left in the jar is (x - 15 + 9/16)(x - 15) - 15 liters.
- The quantity of milk left in the jar is (x - 15 + 9/16)(x - 15) - 15 - (9/16)(x - 15) liters.
Step 3: Set up the equation based on the given information.
- According to the problem, the ratio of milk left to water in the jar is 16:9, which can be written as:
(x - 15 + 9/16)(x - 15) - 15 - (9/16)(x - 15) : (9/16)(x - 15) = 16 : 9
Step 4: Solve the equation to find the initial quantity of milk.
- Multiply both sides of the equation by 16 and 9 to get rid of the ratio:
16[(x - 15 + 9/16)(x - 15) - 15 - (9/16)(x - 15)] = 9[(9/16)(x - 15)]
- Simplify the equation:
16(x - 15 + 9/16)(x - 15) - 240 - 9(x - 15) = 0
- Expand and simplify the equation:
16x^2 - 240x + 144 - 240 - 9x + 135 = 0
16x^2 - 249x + 39 = 0
- Solve the quadratic equation using the quadratic formula or factoring, and we get x = 75 or x = 5/16.
- Since the quantity of milk cannot be 5/16 liters, the initial quantity of milk in the jar is 75 liters.
So, the correct answer is option (e) 75 liters.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
15 litres of the milk is drawn out of a jar and filled with water. This operation is performed 1 more times. If the ratio of the quantity of milk left in jar to that of water in jar is 16 : 9, what was the initial quantity of milk present in the jar?a)60 litresb)55 litresc)80 litresd)85 litrese)75 litresCorrect answer is option 'E'. Can you explain this answer?
Question Description
15 litres of the milk is drawn out of a jar and filled with water. This operation is performed 1 more times. If the ratio of the quantity of milk left in jar to that of water in jar is 16 : 9, what was the initial quantity of milk present in the jar?a)60 litresb)55 litresc)80 litresd)85 litrese)75 litresCorrect answer is option 'E'. 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 15 litres of the milk is drawn out of a jar and filled with water. This operation is performed 1 more times. If the ratio of the quantity of milk left in jar to that of water in jar is 16 : 9, what was the initial quantity of milk present in the jar?a)60 litresb)55 litresc)80 litresd)85 litrese)75 litresCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 15 litres of the milk is drawn out of a jar and filled with water. This operation is performed 1 more times. If the ratio of the quantity of milk left in jar to that of water in jar is 16 : 9, what was the initial quantity of milk present in the jar?a)60 litresb)55 litresc)80 litresd)85 litrese)75 litresCorrect answer is option 'E'. Can you explain this answer?.
15 litres of the milk is drawn out of a jar and filled with water. This operation is performed 1 more times. If the ratio of the quantity of milk left in jar to that of water in jar is 16 : 9, what was the initial quantity of milk present in the jar?a)60 litresb)55 litresc)80 litresd)85 litrese)75 litresCorrect answer is option 'E'. 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 15 litres of the milk is drawn out of a jar and filled with water. This operation is performed 1 more times. If the ratio of the quantity of milk left in jar to that of water in jar is 16 : 9, what was the initial quantity of milk present in the jar?a)60 litresb)55 litresc)80 litresd)85 litrese)75 litresCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 15 litres of the milk is drawn out of a jar and filled with water. This operation is performed 1 more times. If the ratio of the quantity of milk left in jar to that of water in jar is 16 : 9, what was the initial quantity of milk present in the jar?a)60 litresb)55 litresc)80 litresd)85 litrese)75 litresCorrect answer is option 'E'. Can you explain this answer?.
Solutions for 15 litres of the milk is drawn out of a jar and filled with water. This operation is performed 1 more times. If the ratio of the quantity of milk left in jar to that of water in jar is 16 : 9, what was the initial quantity of milk present in the jar?a)60 litresb)55 litresc)80 litresd)85 litrese)75 litresCorrect answer is option 'E'. 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 15 litres of the milk is drawn out of a jar and filled with water. This operation is performed 1 more times. If the ratio of the quantity of milk left in jar to that of water in jar is 16 : 9, what was the initial quantity of milk present in the jar?a)60 litresb)55 litresc)80 litresd)85 litrese)75 litresCorrect answer is option 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
15 litres of the milk is drawn out of a jar and filled with water. This operation is performed 1 more times. If the ratio of the quantity of milk left in jar to that of water in jar is 16 : 9, what was the initial quantity of milk present in the jar?a)60 litresb)55 litresc)80 litresd)85 litrese)75 litresCorrect answer is option 'E'. Can you explain this answer?, a detailed solution for 15 litres of the milk is drawn out of a jar and filled with water. This operation is performed 1 more times. If the ratio of the quantity of milk left in jar to that of water in jar is 16 : 9, what was the initial quantity of milk present in the jar?a)60 litresb)55 litresc)80 litresd)85 litrese)75 litresCorrect answer is option 'E'. Can you explain this answer? has been provided alongside types of 15 litres of the milk is drawn out of a jar and filled with water. This operation is performed 1 more times. If the ratio of the quantity of milk left in jar to that of water in jar is 16 : 9, what was the initial quantity of milk present in the jar?a)60 litresb)55 litresc)80 litresd)85 litrese)75 litresCorrect answer is option 'E'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 15 litres of the milk is drawn out of a jar and filled with water. This operation is performed 1 more times. If the ratio of the quantity of milk left in jar to that of water in jar is 16 : 9, what was the initial quantity of milk present in the jar?a)60 litresb)55 litresc)80 litresd)85 litrese)75 litresCorrect answer is option 'E'. 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