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M03-22

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M03-22 [#permalink]

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Re M03-22 [#permalink]

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For a product of 3 integers to be even, at least one integer must be even. For example \(1 * 3 * 5 = 15\), odd vs. \(5 * 7 * 2 = 70\), even.

Statement (1) by itself is sufficient. For \((p - 1)(r + 1)\) to be odd, both \(p - 1\) and \(r + 1\) must be odd. Therefore, both \(p\) and \(r\) are even.

Statement (2) by itself is sufficient. The product of two integers is odd only if both integers are odd, therefore the result of \(q - r\) is odd. For a difference of two integers to be odd, one of the two must be even. One even integer is sufficient to make the product \(pqr\) even.


Answer: D
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Re: M03-22 [#permalink]

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New post 29 Dec 2014, 01:25
Bunuel But what about if q is 0 for the first one or if q or r is 0 for the second one?
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Re: M03-22 [#permalink]

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New post 29 May 2015, 04:08
zero is even number
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Re: M03-22 [#permalink]

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New post 29 May 2015, 06:02
Statement 1: (p-1)(r+1) = (pr+p-r-1). This will be odd only (pr+p-r) is even. (pr+p-r) is even only when p and r are even. Since p and r are even. Product of p, q and r is always even. (Sufficient)

Statement 2: (q-r)^2 is odd when (q-r) is odd. (q-r) will be odd when either q or r is even and the other one is odd. Since q or r is even, product of p, q and r will always be even. (Sufficient)

Answer: D
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Re M03-22 [#permalink]

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New post 23 Oct 2015, 10:46
I think this is a high-quality question and I don't agree with the explanation. For option 2, is it not possible that q is odd and r is 0, which makes (q-r) * (q-r) as odd and hence the statement is not sufficient because it will depend on the value of P.

Please clarify
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Re: M03-22 [#permalink]

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New post 24 Oct 2015, 01:28
mohitmaheshwari20 wrote:
I think this is a high-quality question and I don't agree with the explanation. For option 2, is it not possible that q is odd and r is 0, which makes (q-r) * (q-r) as odd and hence the statement is not sufficient because it will depend on the value of P.

Please clarify



You should brush-up fundamentals before attempting questions: 0 is an even integer.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re M03-22 [#permalink]

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New post 24 Feb 2016, 18:01
I think this is a poor-quality question and I don't agree with the explanation. No you don't know if Q is 0 or not for 1) or if P is 0 in 2)
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Re: M03-22 [#permalink]

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New post 24 Feb 2016, 18:45
Binglai wrote:
I think this is a poor-quality question and I don't agree with the explanation. No you don't know if Q is 0 or not for 1) or if P is 0 in 2)


Hi,
the Q is perfectly fine..
you will have to brush up a bit of basics on number, since 0 is an even number and is neither positive or negative..

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Re M03-22 [#permalink]

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New post 11 May 2016, 15:55
I think this is a poor-quality question and I don't agree with the explanation. What if one of p, r, q was zero?
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Re: M03-22 [#permalink]

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New post 11 May 2016, 16:24
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M03-22 [#permalink]

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New post 03 Aug 2016, 06:26
Bunuel wrote:
mengsy wrote:
I think this is a poor-quality question and I don't agree with the explanation. What if one of p, r, q was zero?


You should brush-up fundamentals before attempting questions: 0 is an even integer.


I think we must keep our politeness whenever possible. The questions are repeated over and over. The simple fact of not getting it right worth analyzing it and putting it in you error log. Next time this mistake won't happen. 8-)
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Re M03-22 [#permalink]

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New post 22 Aug 2017, 15:01
I think this is a high-quality question and I agree with explanation.
Re M03-22   [#permalink] 22 Aug 2017, 15:01
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