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Directions: Read the following information carefully and answer the given question.
There are 600 marbles in a bag. The bag contains green and blue marbles. Some of the marbles in the bag are defected. The ratio of the number of defective green to blue marbles in the bag is 3 : 5, respectively. The number of non-defective blue marbles is 140% of the number of non-defective green marbles. The number of non-defective blue marbles is 205 more than that of defective blue marbles.
Q. What is the ratio of the number of defective green marbles to the number of non-defective blue marbles?
  • a)
    11 : 56
  • b)
    9 : 56
  • c)
    9 : 55
  • d)
    9 : 58
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Directions: Read the following information carefully and answer the gi...
Let the number of defective green marbles be 3x and that of defective blue marbles be 5x.
We know that the number of non-defective blue marbles is 140% of the number of non-defective green marbles.
Therefore, ratio of the number of non-defective blue marbles to that of non-defective green marbles = 7 : 5
Number of non-defective blue marbles = 205 + 5x
Number of non-defective green marbles = 

91x + 1435 + 1025 + 25x = 4200
116x + 2460 = 4200
116x = 4200 – 2460
116x = 1740
x = 1740 ÷ 116
x = 15
Number of defective green marbles = 3x = 45
Number of defective blue marbles = 5x = 75
Number of non-defective blue marbles = 205 + 5x
= 280
Number of non-defective green marbles = 
= 200
Required ratio = 45 : 280
= 9 : 56
Hence, answer option 2 is correct.
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Community Answer
Directions: Read the following information carefully and answer the gi...
Understanding the given information:
- Total marbles in the bag = 600
- Ratio of defective green marbles to blue marbles = 3 : 5
- Number of non-defective blue marbles = 140% of non-defective green marbles
- Number of non-defective blue marbles = 205 more than defective blue marbles

Calculating the number of marbles:
Let's assume the number of defective green marbles is 3x and defective blue marbles is 5x.
Therefore, the number of non-defective green marbles is 600 - 3x and non-defective blue marbles is 600 - 5x.
Given that:
- Number of non-defective blue marbles = 1.4 * (600 - 3x)
- Number of non-defective blue marbles = 205 + 5x
Setting up the equations:
1.4(600 - 3x) = 205 + 5x
840 - 4.2x = 205 + 5x
635 = 9.2x
x ≈ 69.02

Calculating the number of marbles:
Defective green marbles = 3 * 69 ≈ 207
Non-defective blue marbles = 1.4 * (600 - 3 * 69) ≈ 292.6

Calculating the ratio:
Ratio of defective green marbles to non-defective blue marbles = 207 : 292.6 ≈ 9 : 56
Therefore, the ratio of the number of defective green marbles to the number of non-defective blue marbles is 9 : 56.
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Directions: Read the following information carefully and answer the given question.There are 600 marbles in a bag. The bag contains green and blue marbles. Some of the marbles in the bag are defected. The ratio of the number of defective green to blue marbles in the bag is 3 : 5, respectively. The number of non-defective blue marbles is 140% of the number of non-defective green marbles. The number of non-defective blue marbles is 205 more than that of defective blue marbles.Q. What is the ratio of the number of defective green marbles to the number of non-defective blue marbles?a)11 : 56b)9 : 56c)9 : 55d)9 : 58Correct answer is option 'B'. Can you explain this answer?
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Directions: Read the following information carefully and answer the given question.There are 600 marbles in a bag. The bag contains green and blue marbles. Some of the marbles in the bag are defected. The ratio of the number of defective green to blue marbles in the bag is 3 : 5, respectively. The number of non-defective blue marbles is 140% of the number of non-defective green marbles. The number of non-defective blue marbles is 205 more than that of defective blue marbles.Q. What is the ratio of the number of defective green marbles to the number of non-defective blue marbles?a)11 : 56b)9 : 56c)9 : 55d)9 : 58Correct answer is option 'B'. Can you explain this answer? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Directions: Read the following information carefully and answer the given question.There are 600 marbles in a bag. The bag contains green and blue marbles. Some of the marbles in the bag are defected. The ratio of the number of defective green to blue marbles in the bag is 3 : 5, respectively. The number of non-defective blue marbles is 140% of the number of non-defective green marbles. The number of non-defective blue marbles is 205 more than that of defective blue marbles.Q. What is the ratio of the number of defective green marbles to the number of non-defective blue marbles?a)11 : 56b)9 : 56c)9 : 55d)9 : 58Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Read the following information carefully and answer the given question.There are 600 marbles in a bag. The bag contains green and blue marbles. Some of the marbles in the bag are defected. The ratio of the number of defective green to blue marbles in the bag is 3 : 5, respectively. The number of non-defective blue marbles is 140% of the number of non-defective green marbles. The number of non-defective blue marbles is 205 more than that of defective blue marbles.Q. What is the ratio of the number of defective green marbles to the number of non-defective blue marbles?a)11 : 56b)9 : 56c)9 : 55d)9 : 58Correct answer is option 'B'. Can you explain this answer?.
Solutions for Directions: Read the following information carefully and answer the given question.There are 600 marbles in a bag. The bag contains green and blue marbles. Some of the marbles in the bag are defected. The ratio of the number of defective green to blue marbles in the bag is 3 : 5, respectively. The number of non-defective blue marbles is 140% of the number of non-defective green marbles. The number of non-defective blue marbles is 205 more than that of defective blue marbles.Q. What is the ratio of the number of defective green marbles to the number of non-defective blue marbles?a)11 : 56b)9 : 56c)9 : 55d)9 : 58Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CLAT. Download more important topics, notes, lectures and mock test series for CLAT Exam by signing up for free.
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