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M19-31

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M19-31 [#permalink]

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If \(a\) and \(b\) are positive integers, is \(\frac{a}{b}\) an even integer?


(1) \(ab\) is an even integer

(2) \(\frac{b}{a}\) is an even integer
[Reveal] Spoiler: OA

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(1) \(ab\) is an even integer. If \(a=b=2\) then the answer is NO but if \(a=2\) and \(b=1\) then the answer is YES. Not sufficient.

(2) \(\frac{b}{a}\) is an even integer. Given: \(\frac{b}{a}=even\). Hence, \(\frac{a}{b}=\frac{1}{even} \ne integer\), so \(\frac{a}{b} \ne even\). Sufficient.


Answer: B
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Re: M19-31 [#permalink]

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New post 07 Dec 2016, 08:55
Bunuel :

in the 2nd option :

b/a = even integer.

That means b has to be even and a can be even or odd.

The question : Is a/b = even integer?

a we know is even or odd, b is even.

If a is even and b is even = odd or even integer
If a is odd and b is even = non integer.

Hence insufficient. Am i wrong in this thinking?

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New post 07 Dec 2016, 09:04
Vishvesh88 wrote:
Bunuel :

in the 2nd option :

b/a = even integer.

That means b has to be even and a can be even or odd.

The question : Is a/b = even integer?

a we know is even or odd, b is even.

If a is even and b is even = odd or even integer
If a is odd and b is even = non integer.

Hence insufficient. Am i wrong in this thinking?


If you read the solution you'll see that we can deduce one more thing from b/a = even that b must be greater than a. So, a/b no matter whether a is even or not will not be an integer.
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Collection of Questions:
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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: M19-31 [#permalink]

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New post 08 Dec 2016, 07:45
Bunuel : Thanks. Got it.

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Re: M19-31 [#permalink]

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New post 04 Sep 2017, 11:34
can someone post the possible answer selections? can't seem to see them on my screen

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New post 04 Sep 2017, 11:36
mak218 wrote:
can someone post the possible answer selections? can't seem to see them on my screen


This is a data sufficiency question. Options for DS questions are always the same.

The data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of the word counterclockwise), you must indicate whether—

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
D. EACH statement ALONE is sufficient to answer the question asked.
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

I suggest you to go through the following posts:
ALL YOU NEED FOR QUANT.
Ultimate GMAT Quantitative Megathread

Hope this helps.
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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.


What are GMAT Club Tests?
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Kudos [?]: 133003 [0], given: 12402

Re: M19-31   [#permalink] 04 Sep 2017, 11:36
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