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Is x divisible by y?


1) x is a multiple of (y + 1)


2) y > 1

  • a)
    Exactly one of the statements can answer the question

  • b)
    More information is required as the information provided is insufficient to answer the question

  • c)
    Each statement can answer the question individually

  • d)
    Both statements are required to answer the question 


     

Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Is x divisible by y?1) x is a multiple of (y + 1)2) y > 1a)Exactly ...
D. (according to me.)

even after both the statements, we cannot answer the question.

x can or cannot be divisible by y.

let x be 9 and y be 2. so x is a multiple of 2+1 = 3 and x is not divisible by y.

now let x be 12 and y be 3. x is a multiple of 3 + 1 =4 and x is divisible by y.
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Community Answer
Is x divisible by y?1) x is a multiple of (y + 1)2) y > 1a)Exactly ...
To determine whether x is divisible by y, let's analyze the statements provided:
1. Statement (1): x is a multiple of (y + 1)
This means there exists an integer k such that:
x = k(y + 1) (for some integer k)
To see if x is divisible by y, we can rewrite this as:
x = ky + k
For x to be divisible by y, the term k (which is equal to &frac{x}{y + 1}) must also ensure that when you take ky + k, k alone is divisible by y. However, this is not guaranteed. Therefore, this statement alone is not sufficient to determine if x is divisible by y.
2. Statement (2): y > 1
This statement tells us that y is greater than 1, but it does not provide any information about the relationship between x and y. Therefore, this statement alone is also not sufficient to determine if x is divisible by y.
Combining the Statements:
Now, let's analyze both statements together:
  • From statement (1), we know x = k(y + 1).
  • From statement (2), we know y > 1.
Even when we combine the two statements, we still only have information about x being a multiple of (y + 1) while y is simply greater than 1. This still does not help in determining if x is divisible by y because the fact that x is a multiple of (y + 1) does not imply anything about divisibility by y.
Conclusion:
Neither statement alone is sufficient to determine if x is divisible by y, and combining the two statements does not lead to a definitive answer. Thus, the answer is:
The statements together are not sufficient to determine if x is divisible by y.
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Is x divisible by y?1) x is a multiple of (y + 1)2) y > 1a)Exactly one of the statements can answer the questionb)More information is required as the information provided is insufficient to answer the questionc)Each statement can answer the question individuallyd)Both statements are required to answer the questionCorrect answer is option 'B'. Can you explain this answer?
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