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p is an integer, n is an integer and p/n is an integer. Is p/n=odd?
1) p is divisible by 4
2) n 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 'D'. Can you explain this answer?
Most Upvoted Answer
p is an integer, n is an integer and p/n is an integer. Is p/n=odd?1) ...
Explanation:

We are given that p is an integer, n is an integer and p/n is an integer, and we need to determine whether p/n is odd or not.

Statement 1: p is divisible by 4

If p is divisible by 4, then p can be written as p = 4k, where k is an integer. Substituting this value of p in the equation p/n = m, we get:

4k/n = m

Dividing both sides by 4, we get:

k/(n/4) = m/4

Since k is an integer, (n/4) must also be an integer. Therefore, n must be a multiple of 4. However, we cannot determine whether p/n is odd or not just from this statement.

Statement 2: n is divisible by 4

If n is divisible by 4, then n can be written as n = 4l, where l is an integer. Substituting this value of n in the equation p/n = m, we get:

p/4l = m

Multiplying both sides by 4, we get:

p = 4ml

Since 4ml is divisible by 4, p is also divisible by 4. However, we cannot determine whether p/n is odd or not just from this statement.

Combined Statements

From both statements, we know that p is divisible by 4 and n is divisible by 4. However, this information is still not sufficient to determine whether p/n is odd or not. Therefore, the correct answer is option D - More information is required as the information provided is insufficient to answer the question.
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p is an integer, n is an integer and p/n is an integer. Is p/n=odd?1) p is divisible by 42) n is divisible by 4 a)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 'D'. Can you explain this answer?
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