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The product of n consecutive integers equals P. Which of the following

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The product of n consecutive integers equals P. Which of the following [#permalink]

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The product of n consecutive integers equals P. Which of the following is true for n >= 2?

I. P is an even number
II. P is an odd number
III. P is positive

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only
[Reveal] Spoiler: OA

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The product of n consecutive integers equals P. Which of the following [#permalink]

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New post 20 Oct 2017, 03:37
Bunuel wrote:
The product of n consecutive integers equals P. Which of the following is true for n >= 2?

I. P is an even number
II. P is an odd number
III. P is positive

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only


Product of n consecutive integers = P
n >= 2
Since there are 2 or more terms, there is at least one even term => P is even
P can be negative (if n = 3 and all terms are negative), or positive (if all terms are positive), or 0 (if one of the consecutive terms is 0).
Hence, answer is A.

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Re: The product of n consecutive integers equals P. Which of the following [#permalink]

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New post 20 Oct 2017, 03:55
Bunuel wrote:
The product of n consecutive integers equals P. Which of the following is true for n >= 2?

I. P is an even number
II. P is an odd number
III. P is positive

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only


If P is the product of n consecutive integers, and n>=2
If the 3 consecutive integers are -3,-2 and -1, the product is not a positive number(III is out)
If the 2 consecutive integers are -1 and 0, the product is not an odd number(II is out)

However, P will always be an even number(Option A) as I is always true!
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Re: The product of n consecutive integers equals P. Which of the following [#permalink]

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New post 20 Oct 2017, 04:18
Since n >= 2, p must be even.
I is true.
II cannot be true, since n is even.
P can be positive or negative. Hence III is not true
Answer A - I only.
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Re: The product of n consecutive integers equals P. Which of the following [#permalink]

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New post 21 Oct 2017, 05:51
Bunuel wrote:
The product of n consecutive integers equals P. Which of the following is true for n >= 2?

I. P is an even number
II. P is an odd number
III. P is positive

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only


The Product of n consecutive integers equals to P and if n>=2, then P is always an even number.

So, answer options is A.

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Re: The product of n consecutive integers equals P. Which of the following [#permalink]

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New post 24 Oct 2017, 05:14
Bunuel wrote:
The product of n consecutive integers equals P. Which of the following is true for n >= 2?

I. P is an even number
II. P is an odd number
III. P is positive

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only


If P is the product of at least two consecutive integers, then at least 1 of the integers is even, and thus P must be even, so I is true. Furthermore, since P is even, it cannot be odd, so II is false. We also cannot say for sure whether P is positive. For example, if one of the integers is 0, then P = 0, which is not positive, so III is false.

Answer: A
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Re: The product of n consecutive integers equals P. Which of the following [#permalink]

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New post 27 Oct 2017, 08:26
P must be even, because in any three consecutive integers, there'll be at least one even number. Therefore it cannot be odd. Also, the product could be negative (-3,-2-1) or even zero.
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Re: The product of n consecutive integers equals P. Which of the following   [#permalink] 27 Oct 2017, 08:26
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