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Difficulty:
75%
(hard)
Question Stats:
31% (01:34) correct
69%
(01:29)
wrong
based on 65
sessions
History
Date
Time
Result
Not Attempted Yet
Is a + b even?
(1) \(a^2-b^2\) is even
(2) \(√a-√b\) is even
_________________
(1) \(a^2-b^2\) is even
(2) \(√a-√b\) is even
Source: https://www.GMATinsight.com
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
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Archit3110
Major Poster
Joined: 18 Aug 2017
Last visit: 12 Sep 2026
Posts: 8,816
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73 
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WE:Marketing (Energy)
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,816
target is a+b even
#1
\(a^2-b^2\) is even
(6)^2-(2)^2 ; yes to target
(5)^2-(1)^2 ; yes to target
(√7)^2-(√5)^2 ; no to target as its sum is ~4.88; 5
insufficient
#2
\(√a-√b\) is even
for integer cases √16-√4 ; yes to target
for square root value cases
√√7-√√5 = ~0 ; its a +ve even integer
√√100-√1 ; ~2 but sum (√100+√1= 101) which is no to target
insufficient
from 1 &2
if we take square root values of integers both either even or odd , then we get yes for both cases eg a,b ( 16,4) or ( 25,9)
but if we take values as square root then answer may be yes and no (√7,√5) we get #1 value as 2 and #2 value as 0 but sum √7+√5 is not even ~ 4.88 ; 5
insufficient
option E
GMATinsight ; sir hope that testing of square root values for this question is legit especially for #2
#1
\(a^2-b^2\) is even
(6)^2-(2)^2 ; yes to target
(5)^2-(1)^2 ; yes to target
(√7)^2-(√5)^2 ; no to target as its sum is ~4.88; 5
insufficient
#2
\(√a-√b\) is even
for integer cases √16-√4 ; yes to target
for square root value cases
√√7-√√5 = ~0 ; its a +ve even integer
√√100-√1 ; ~2 but sum (√100+√1= 101) which is no to target
insufficient
from 1 &2
if we take square root values of integers both either even or odd , then we get yes for both cases eg a,b ( 16,4) or ( 25,9)
but if we take values as square root then answer may be yes and no (√7,√5) we get #1 value as 2 and #2 value as 0 but sum √7+√5 is not even ~ 4.88 ; 5
insufficient
option E
GMATinsight ; sir hope that testing of square root values for this question is legit especially for #2
GMATinsight
Is a + b even?
(1) \(a^2-b^2\) is even
Let \(a=b=\frac{1}{2}\)……Answer is NO
If \(a=b=2\)……Answer is YES
Insufficient
(2) \(√a-√b\) is even
Let \(\sqrt{a}=\sqrt{b}=\frac{1}{2}\)……Answer is NO
If \( \sqrt{a}=\sqrt{b}=2\)……Answer is YES
Insufficient
Combined
Nothing new
Insufficient
E
_________________
(1) \(a^2-b^2\) is even
Let \(a=b=\frac{1}{2}\)……Answer is NO
If \(a=b=2\)……Answer is YES
Insufficient
(2) \(√a-√b\) is even
Let \(\sqrt{a}=\sqrt{b}=\frac{1}{2}\)……Answer is NO
If \( \sqrt{a}=\sqrt{b}=2\)……Answer is YES
Insufficient
Combined
Nothing new
Insufficient
E
_________________
shauryahanda
Joined: 14 Jan 2020
Last visit: 05 Nov 2024
Posts: 88
Location: India
Concentration: Marketing, Technology
Schools: Goizueta '24 (S) Rotman '24 (S) Foster '24 (S)
GMAT 1: 700 Q49 V37
GPA: 4
Would like to add 2 cents
This is a really good que and I believe like me a couple of others would have also pounced on the even odd properties without realizing - this question is has nowhere mentioned a,b is even
IT IS HENCE ADVISEd - in GMAT paper PL MAKE SURE WHETHER INTEGER IS MENTIONED OR NOT
This is a really good que and I believe like me a couple of others would have also pounced on the even odd properties without realizing - this question is has nowhere mentioned a,b is even
IT IS HENCE ADVISEd - in GMAT paper PL MAKE SURE WHETHER INTEGER IS MENTIONED OR NOT
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