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A bottle full of juice contains480 ml of mixture of pulp and water in the ratio of _____, respectively. If 160 ml of mixture is taken out and 40 ml of pulp and 24 ml of water is added into the remaining mixture then the ratio of pulp to water in the resultant mixture becomes _____.
The values given in which of the following options will fill the blanks in the same order to make the statement true:
I. 5:3, 5:4
II. 9:7, 55:41
III. 3:2, 29:19
- a)Only I
- b)All I, II and III
- c)Only III
- d)Only II and III
- e)Only II
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A bottle full of juice contains480 ml of mixture of pulp and water in...
After taken out, remaining mixture = 480 – 160 = 320 ml
For I:
Quantity of pulp in 320 ml of mixture = (5/8) × 320 = 200 ml
Quantity of water in 320 ml of mixture = 320 – 200 = 120 ml
Desired ratio = (200 + 40): (120 + 24) = 240:144 = 5:3
Statement I, not follows.
For II:
Quantity of pulp in 320 ml of mixture = (9/16) × 320 = 180 ml
Quantity of water in 320 ml of mixture = 320 – 180 = 140 ml
Desired ratio = (180 + 40): (140 + 24) = 220:164 = 55:41
Statement II, follows.
For III:
Quantity of pulp in 320 ml of mixture = (3/5) × 320 = 192 ml
Quantity of water in 320 ml of mixture = 320 – 192 = 128 ml
Desired ratio = (192 + 40): (128 + 24) = 232:152 = 29:19
Statement III, follows.
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Community Answer
A bottle full of juice contains480 ml of mixture of pulp and water in...
To solve this question, we need to find the initial ratio of pulp to water in the bottle and then calculate the ratio after the given operations.
Initial Ratio:
Let the ratio of pulp to water in the bottle be a:b. Therefore, the total volume of the mixture is (a+b).
According to the given information, the total volume of the mixture is 480 ml. So we have:
(a+b) = 480
Ratio after Operations:
After taking out 160 ml of the mixture, the remaining volume of the mixture is (480 - 160) = 320 ml.
Now, 40 ml of pulp and 24 ml of water is added to the remaining mixture, which means the new volume of the mixture is (320 + 40 + 24) = 384 ml.
The new ratio of pulp to water in the resultant mixture is (a+40) : (b+24).
Therefore, (a+40) : (b+24) = x:y (let's assume)
Now, we have two equations:
(a+b) = 480 -- (1)
(a+40) : (b+24) = x:y -- (2)
Solving these two equations, we can find the values of a, b, x, and y.
Let's solve these equations.
From equation (2), we can cross-multiply:
(a+40)y = (b+24)x
Expanding this equation, we get:
ay + 40y = bx + 24x
Rearranging the terms, we have:
ay - bx = 24x - 40y -- (3)
Now, let's solve equations (1) and (3) simultaneously.
Multiplying equation (1) by a, we get:
a^2 + ab = 480a -- (4)
Multiplying equation (3) by a, we get:
a^2y - bxy = 24ax - 40ay -- (5)
Substituting the value of (a^2 + ab) from equation (4) in equation (5), we have:
480a - bxy = 24ax - 40ay
Rearranging the terms, we get:
480a - 24ax = bxy - 40ay
Factoring out the variables, we have:
24a(20 - x) = ay(b - 40)
Now, if we assume that the values in option II are correct, i.e., a:b = 9:7 and x:y = 55:41, we can substitute these values in the equation.
Substituting a:b = 9:7 and x:y = 55:41, we have:
24(9)(20 - 55) = (9)y(b - 40)
Simplifying this equation, we get:
-24(9)(35) = -31(b - 40)
Solving for b, we have:
-7560 = -31b + 1240
Rearranging the terms, we get:
-31b = -8800
Dividing by -31, we find:
b = 284.516129
But we know that the ratio of a:b is a whole number, so the values given in option II do not satisfy the condition. Therefore, option II is incorrect.
Now, we need to check the values
Initial Ratio:
Let the ratio of pulp to water in the bottle be a:b. Therefore, the total volume of the mixture is (a+b).
According to the given information, the total volume of the mixture is 480 ml. So we have:
(a+b) = 480
Ratio after Operations:
After taking out 160 ml of the mixture, the remaining volume of the mixture is (480 - 160) = 320 ml.
Now, 40 ml of pulp and 24 ml of water is added to the remaining mixture, which means the new volume of the mixture is (320 + 40 + 24) = 384 ml.
The new ratio of pulp to water in the resultant mixture is (a+40) : (b+24).
Therefore, (a+40) : (b+24) = x:y (let's assume)
Now, we have two equations:
(a+b) = 480 -- (1)
(a+40) : (b+24) = x:y -- (2)
Solving these two equations, we can find the values of a, b, x, and y.
Let's solve these equations.
From equation (2), we can cross-multiply:
(a+40)y = (b+24)x
Expanding this equation, we get:
ay + 40y = bx + 24x
Rearranging the terms, we have:
ay - bx = 24x - 40y -- (3)
Now, let's solve equations (1) and (3) simultaneously.
Multiplying equation (1) by a, we get:
a^2 + ab = 480a -- (4)
Multiplying equation (3) by a, we get:
a^2y - bxy = 24ax - 40ay -- (5)
Substituting the value of (a^2 + ab) from equation (4) in equation (5), we have:
480a - bxy = 24ax - 40ay
Rearranging the terms, we get:
480a - 24ax = bxy - 40ay
Factoring out the variables, we have:
24a(20 - x) = ay(b - 40)
Now, if we assume that the values in option II are correct, i.e., a:b = 9:7 and x:y = 55:41, we can substitute these values in the equation.
Substituting a:b = 9:7 and x:y = 55:41, we have:
24(9)(20 - 55) = (9)y(b - 40)
Simplifying this equation, we get:
-24(9)(35) = -31(b - 40)
Solving for b, we have:
-7560 = -31b + 1240
Rearranging the terms, we get:
-31b = -8800
Dividing by -31, we find:
b = 284.516129
But we know that the ratio of a:b is a whole number, so the values given in option II do not satisfy the condition. Therefore, option II is incorrect.
Now, we need to check the values
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Question Description
A bottle full of juice contains480 ml of mixture of pulp and water in the ratio of _____, respectively. If 160 ml of mixture is taken out and 40 ml of pulp and 24 ml of water is added into the remaining mixture then the ratio of pulp to water in the resultant mixture becomes _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 5:3, 5:4II. 9:7, 55:41III. 3:2, 29:19a)Only Ib)All I, II and IIIc)Only IIId)Only II and IIIe)Only IICorrect answer is option 'D'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A bottle full of juice contains480 ml of mixture of pulp and water in the ratio of _____, respectively. If 160 ml of mixture is taken out and 40 ml of pulp and 24 ml of water is added into the remaining mixture then the ratio of pulp to water in the resultant mixture becomes _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 5:3, 5:4II. 9:7, 55:41III. 3:2, 29:19a)Only Ib)All I, II and IIIc)Only IIId)Only II and IIIe)Only IICorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bottle full of juice contains480 ml of mixture of pulp and water in the ratio of _____, respectively. If 160 ml of mixture is taken out and 40 ml of pulp and 24 ml of water is added into the remaining mixture then the ratio of pulp to water in the resultant mixture becomes _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 5:3, 5:4II. 9:7, 55:41III. 3:2, 29:19a)Only Ib)All I, II and IIIc)Only IIId)Only II and IIIe)Only IICorrect answer is option 'D'. Can you explain this answer?.
A bottle full of juice contains480 ml of mixture of pulp and water in the ratio of _____, respectively. If 160 ml of mixture is taken out and 40 ml of pulp and 24 ml of water is added into the remaining mixture then the ratio of pulp to water in the resultant mixture becomes _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 5:3, 5:4II. 9:7, 55:41III. 3:2, 29:19a)Only Ib)All I, II and IIIc)Only IIId)Only II and IIIe)Only IICorrect answer is option 'D'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A bottle full of juice contains480 ml of mixture of pulp and water in the ratio of _____, respectively. If 160 ml of mixture is taken out and 40 ml of pulp and 24 ml of water is added into the remaining mixture then the ratio of pulp to water in the resultant mixture becomes _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 5:3, 5:4II. 9:7, 55:41III. 3:2, 29:19a)Only Ib)All I, II and IIIc)Only IIId)Only II and IIIe)Only IICorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bottle full of juice contains480 ml of mixture of pulp and water in the ratio of _____, respectively. If 160 ml of mixture is taken out and 40 ml of pulp and 24 ml of water is added into the remaining mixture then the ratio of pulp to water in the resultant mixture becomes _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 5:3, 5:4II. 9:7, 55:41III. 3:2, 29:19a)Only Ib)All I, II and IIIc)Only IIId)Only II and IIIe)Only IICorrect answer is option 'D'. Can you explain this answer?.
Solutions for A bottle full of juice contains480 ml of mixture of pulp and water in the ratio of _____, respectively. If 160 ml of mixture is taken out and 40 ml of pulp and 24 ml of water is added into the remaining mixture then the ratio of pulp to water in the resultant mixture becomes _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 5:3, 5:4II. 9:7, 55:41III. 3:2, 29:19a)Only Ib)All I, II and IIIc)Only IIId)Only II and IIIe)Only IICorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams.
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A bottle full of juice contains480 ml of mixture of pulp and water in the ratio of _____, respectively. If 160 ml of mixture is taken out and 40 ml of pulp and 24 ml of water is added into the remaining mixture then the ratio of pulp to water in the resultant mixture becomes _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 5:3, 5:4II. 9:7, 55:41III. 3:2, 29:19a)Only Ib)All I, II and IIIc)Only IIId)Only II and IIIe)Only IICorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A bottle full of juice contains480 ml of mixture of pulp and water in the ratio of _____, respectively. If 160 ml of mixture is taken out and 40 ml of pulp and 24 ml of water is added into the remaining mixture then the ratio of pulp to water in the resultant mixture becomes _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 5:3, 5:4II. 9:7, 55:41III. 3:2, 29:19a)Only Ib)All I, II and IIIc)Only IIId)Only II and IIIe)Only IICorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A bottle full of juice contains480 ml of mixture of pulp and water in the ratio of _____, respectively. If 160 ml of mixture is taken out and 40 ml of pulp and 24 ml of water is added into the remaining mixture then the ratio of pulp to water in the resultant mixture becomes _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 5:3, 5:4II. 9:7, 55:41III. 3:2, 29:19a)Only Ib)All I, II and IIIc)Only IIId)Only II and IIIe)Only IICorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A bottle full of juice contains480 ml of mixture of pulp and water in the ratio of _____, respectively. If 160 ml of mixture is taken out and 40 ml of pulp and 24 ml of water is added into the remaining mixture then the ratio of pulp to water in the resultant mixture becomes _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 5:3, 5:4II. 9:7, 55:41III. 3:2, 29:19a)Only Ib)All I, II and IIIc)Only IIId)Only II and IIIe)Only IICorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
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