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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.
What is the difference between the numbers of non-defective and defective green marbles?
  • a)
    145
  • b)
    155
  • c)
    160
  • d)
    165
Correct answer is option 'B'. Can you explain this answer?
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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 difference = 200 – 45
= 155
Hence, answer option 2 is correct.
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Solution:

Given information:
- Total number of marbles = 600
- Ratio of defective green marbles to defective blue marbles = 3 : 5
- Number of non-defective blue marbles = 140% of the number of non-defective green marbles
- Number of non-defective blue marbles = 205 more than defective blue marbles

Step 1: Find the number of defective green and blue marbles
Let's assume the number of defective green marbles as 3x and the number of defective blue marbles as 5x.

Therefore, the total number of defective marbles = 3x + 5x = 8x

Step 2: Find the number of non-defective blue marbles
Given that the number of non-defective blue marbles is 140% of the number of non-defective green marbles.

Let's assume the number of non-defective green marbles as y.
Therefore, the number of non-defective blue marbles = 1.40y

Step 3: Find the number of defective blue marbles
Given that the number of non-defective blue marbles is 205 more than defective blue marbles.

So, we can write the equation as:
1.40y = 8x + 205

Step 4: Find the difference between non-defective and defective green marbles
To find the difference, we need to subtract the number of defective green marbles from the number of non-defective green marbles.

Non-defective green marbles = y
Defective green marbles = 3x

Difference = y - 3x

Step 5: Solve the equations to find the values of x and y
We have two equations:
1. 1.40y = 8x + 205
2. y = 3x + Difference

Solving these equations will give us the values of x and y.

Step 6: Substitute the values of x and y to find the difference
Once we have the values of x and y, we can substitute them in the equation y - 3x to find the difference.

The correct answer is option 'b' (155).
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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.What is the difference between the numbers of non-defective and defective green marbles?a)145b)155c)160d)165Correct 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.What is the difference between the numbers of non-defective and defective green marbles?a)145b)155c)160d)165Correct 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.What is the difference between the numbers of non-defective and defective green marbles?a)145b)155c)160d)165Correct 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.What is the difference between the numbers of non-defective and defective green marbles?a)145b)155c)160d)165Correct answer is option 'B'. Can you explain this answer?.
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