|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
44% (02:29) correct
56%
(02:57)
wrong
based on 118
sessions
History
Date
Time
Result
Not Attempted Yet
If a, b and c are integers such that ab + c is an odd integer, is a an even integer?
(1) ab + ac is an even integer.
(2) b + ac is an odd integer.
(1) ab + ac is an even integer.
(2) b + ac is an odd integer.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
26 May 2016, 02:30
Kudos
Bookmarks
If a, b and c are integers such that ab + c is an odd integer, is a an even integer?
Given that \(ab + c=odd\), determine whether a is even.
(1) ab + ac is an even integer. \(ab+ac=even\). Subtract this equation from the equation above: \((ab+ac)-(ab + c)=ac-c=even-odd=odd\) --> \(c(a-1)=odd\) --> both multiples must be odd --> \(a-1=odd\) --> \(a=odd+1=even\). Sufficient.
(2) b + ac is an odd integer. a=even, b=odd and c=odd OR a=odd, b=odd and c=even. Not sufficient.
Answer: A.
Given that \(ab + c=odd\), determine whether a is even.
(1) ab + ac is an even integer. \(ab+ac=even\). Subtract this equation from the equation above: \((ab+ac)-(ab + c)=ac-c=even-odd=odd\) --> \(c(a-1)=odd\) --> both multiples must be odd --> \(a-1=odd\) --> \(a=odd+1=even\). Sufficient.
(2) b + ac is an odd integer. a=even, b=odd and c=odd OR a=odd, b=odd and c=even. Not sufficient.
Answer: A.
26 May 2016, 02:31
Kudos
Bookmarks
Bunuel
Similar questions to practice:
if-a-b-and-c-are-integers-and-ac-b-is-odd-is-b-odd-154000.html
the-product-of-integers-x-y-and-z-is-even-is-z-even-130140.html
if-m-is-an-integer-is-m-odd-129702.html
if-x-and-y-are-integers-is-xy-even-137508.html
if-x-and-y-are-integers-is-the-value-of-x-y-1-even-149236.html
if-x-y-and-z-are-integers-and-xy-z-is-an-odd-integer-is-81562.html
if-a-and-b-are-integers-is-b-even-99211.html
if-x-is-an-integer-is-x-even-142751.html
is-a-b-c-even-130399.html
is-x-y-z-t-even-133065.html
Hope it helps.
