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The volumes of three kinds of materials are in the ratio 3:4:7 and the weights of equal volumes of the three materials are in the ratio 5:2:6 If they are mixed to form a material of 65 kg then the weight of the 2nd material in the mixture is
  • a)
    8 kg
  • b)
    23 kg
  • c)
    15 kg
  • d)
    42 kg
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The volumes of three kinds of materials are in the ratio 3:4:7 and the...
Let the volumes of the 3 be: 3v, 4v and 7v
Densities of the three are 5d, 2d and 6d
So, the weights are 15dv + 8 dv + 42 dv = 65 dv
But that is 65 kilograms.
The second one's weight is 8 dv = 8 kgs
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Most Upvoted Answer
The volumes of three kinds of materials are in the ratio 3:4:7 and the...
Given:
- The volumes of three kinds of materials are in the ratio 3:4:7.
- The weights of equal volumes of the three materials are in the ratio 5:2:6.
- The total weight of the mixture is 65 kg.

To find:
- The weight of the 2nd material in the mixture.

Solution:
Let's assume the volumes of the three materials are 3x, 4x, and 7x respectively.

Step 1: Finding the weights of the three materials
Since the weights of equal volumes of the three materials are in the ratio 5:2:6, we can set up the following equation:
Weight of the 1st material : Weight of the 2nd material : Weight of the 3rd material = 5 : 2 : 6

Let's assume the weight of the 1st material is 5y, the weight of the 2nd material is 2y, and the weight of the 3rd material is 6y.

Step 2: Setting up the equation
According to the given information, the volumes of the three materials are in the ratio 3:4:7. Therefore, we can write the equation as follows:
(3x * 5y) + (4x * 2y) + (7x * 6y) = 65

Step 3: Solving the equation
Simplifying the equation:
15xy + 8xy + 42xy = 65
65xy = 65

Dividing the equation by 65:
xy = 1

Step 4: Finding the weight of the 2nd material
Since we have found the value of xy, we can substitute it back into the equation to find the weight of the 2nd material:
2y = 1
y = 1/2

Therefore, the weight of the 2nd material in the mixture is:
2y = 2 * (1/2) = 1 kg

Conclusion:
The weight of the 2nd material in the mixture is 1 kg, which corresponds to option A.
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The volumes of three kinds of materials are in the ratio 3:4:7 and the weights of equal volumes of the three materials are in the ratio 5:2:6 If they are mixed to form a material of 65 kg then the weight of the 2nd material in the mixture isa)8 kgb)23 kgc)15 kgd)42 kgCorrect answer is option 'A'. Can you explain this answer?
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The volumes of three kinds of materials are in the ratio 3:4:7 and the weights of equal volumes of the three materials are in the ratio 5:2:6 If they are mixed to form a material of 65 kg then the weight of the 2nd material in the mixture isa)8 kgb)23 kgc)15 kgd)42 kgCorrect answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The volumes of three kinds of materials are in the ratio 3:4:7 and the weights of equal volumes of the three materials are in the ratio 5:2:6 If they are mixed to form a material of 65 kg then the weight of the 2nd material in the mixture isa)8 kgb)23 kgc)15 kgd)42 kgCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The volumes of three kinds of materials are in the ratio 3:4:7 and the weights of equal volumes of the three materials are in the ratio 5:2:6 If they are mixed to form a material of 65 kg then the weight of the 2nd material in the mixture isa)8 kgb)23 kgc)15 kgd)42 kgCorrect answer is option 'A'. Can you explain this answer?.
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