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If x is an integer, is x/2 an even integer?  
1) x is divisible by 2
2) x is divisible by 4
  • a)
    Exactly one of the statements can answer the question
  • b)
    Both statements are required to answer the question
  • c)
    Each statement can answer the question individually
  • d)
    More information is required as the information provided is insufficient to answer the question
     
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If x is an integer, is x/2 an even integer? 1) x is divisible by 22) x...
Explanation:

To determine whether x/2 is an even integer, we need to know whether x is even or odd.

Statement 1:

If x is divisible by 2, then x is even. Therefore, x/2 is also an integer (since it is half of an even integer), and it is also even (since dividing an even integer by 2 always results in an even integer).

This statement alone is sufficient to answer the question.

Statement 2:

If x is divisible by 4, then x is even. However, just because x is even does not mean that x/2 is even. For example, if x = 6, then x/2 = 3, which is odd.

This statement alone is not sufficient to answer the question.

Answer:

Therefore, the answer is option A: Exactly one of the statements can answer the question. Statement 1 alone is sufficient to answer the question, while statement 2 alone is not.
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Community Answer
If x is an integer, is x/2 an even integer? 1) x is divisible by 22) x...
Correct option should be c
statement 1 can answer the question independent
similarly statement 2 , if a number is divisible by 4 then it will be divisible by 2 also.
thus x/2 will be an even integer
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If x is an integer, is x/2 an even integer? 1) x is divisible by 22) x is divisible by 4a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer?
Question Description
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