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An amount of money was distributed among A, B and C in the ratio a:b:c. Consider the following statements:
1. A gets the minimum share if a is less than (b - c)
2. C gets the minimum share if c is less than (a + b)
3. B gets maximum share if b is greater than (a + c)
How many of the above statements are correct?
  • a)
    Only one
  • b)
    Only Two
  • c)
    All three
  • d)
    None
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
An amount of money was distributed among A, B and C in the ratio a:b:c...
Understanding the Distribution Statements
In this scenario, A, B, and C receive shares based on the ratio a:b:c. To analyze the correctness of the given statements, we will evaluate each one:
Statement 1: A gets the minimum share if a is less than (b - c)
- This statement is incorrect. For A to have the minimum share, 'a' must be the smallest among a, b, and c. The condition (b - c) does not guarantee 'a' is the smallest, as the values of b and c can vary.
Statement 2: C gets the minimum share if c is less than (a + b)
- This statement is correct. If c is less than the sum of a and b, it implies that C's share is smaller than the combined shares of A and B, making C the one who receives the minimum share.
Statement 3: B gets the maximum share if b is greater than (a + c)
- This statement is incorrect. For B to have the maximum share, 'b' must be the largest among a, b, and c. The condition (a + c) does not ensure that 'b' is greater than both 'a' and 'c', as a and c can be larger individually.
Summary of Correctness
- Only Statement 2 is correct. Therefore, the total number of correct statements is one.
Conclusion
The correct answer is option 'A': Only one statement is correct.
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An amount of money was distributed among A, B and C in the ratio a:b:c. Consider the following statements:1. A gets the minimum share if a is less than (b - c)2. C gets the minimum share if c is less than (a + b)3. B gets maximum share if b is greater than (a + c)How many of the above statements are correct?a)Only oneb)Only Twoc)All threed)NoneCorrect answer is option 'A'. Can you explain this answer?
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